3rd sem electric circuit

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BE 3 rd SEMESTER QUESTION BANK ELECTRIC CIRCUIT B.E.(Third Semester)Examination, April – May 2011 (Electrical, Electrical & Electronics Engineering) ELECTRIC CIRCUIT Time allowed: Three hours Maximum Marks: 80 Minimum Marks: 28 Note: Part (a) of each question is compulsory .Attempt any two parts from (b) , (c) & (d) of each question . Numerical should be solved with all intermediate step clearly Unit - I 1(a) Define the following term 2 (i) Twig (ii) Link (b) A network is shown in fig . Draw the directed graph , tree and show the loop. 7

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BE 3rd SEMESTER QUESTION BANKELECTRIC CIRCUIT

B.E.(Third Semester)Examination,April May 2011(Electrical, Electrical & Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note: Part (a) of each question is compulsory .Attempt any two parts from (b) , (c) & (d) of each question . Numerical should be solved with all intermediate step clearlyUnit - I1(a) Define the following term 2 (i) Twig (ii) Link (b) A network is shown in fig . Draw the directed graph , tree and show the loop.7

(c) For the network shown in fig. Write down the incidence matrix, the node admittance matrix and the matrix node equation.7

(d) (i) Write down the procedure of constructing the dual network. (ii) Draw the dual of the network shown in fig. 7

Unit IIQ.2 (a) Define reciprocity theorem.2

(b) Find the current impedance with the help of Thevenins theorem in the circuit as shown in fig7

(c) Find the current through in the circuit of fig using Norton theorem.7

(d) Using nodal analysis method ,find the voltage across 10 resistor in the network shown in fig.7

Unit - IIIQ.3. (a) Define following term (i) Coefficient of coupling (ii) Bandwidth 2(b) Find the current in 5 resistance in magnetically coupled circuit as shown in fig7

(c) What is meant by resonance in a series R-L-C circuit. explain. Deduce the necessary condition for this to occur.7(d) Draw a circle diagram for a circuit having constant reactance and variable resistance. Explain the procedure.7

Unit - IVQ.4. (a) State the advantages of poly phase system over single phase system (any four)2

(b) Three identical coil connected in delta across 400 V , 50 Hz , 3 phase ac supply, take a line current of 17.32 A at a power factor of 0.8 lagging . Calculate7

(i) The phase current (ii) The resistance and inductance of each coil. (iii) The power drawn by each coil.

(c) Show how the active power in a 3 phase circuit can be measured with the help of two watt meter. Deduce the expression for power factor in terms of two wattmeter reading 7

(d) (i) Explain star and delta connection in 3 phase circuit . State advantages of each type(ii) List out various method of measurement of power in the phase circuit. Draw the diagram of any one of them. 7

Unit VQ.5 (a) What do you understand by Fourier series? Explain. 2 (b) Find the Fourier series representation of the sawtooth waveform as shown in fig and plot its spectrum.7

(c) Obtain the coefficient of the exponential Fourier series for the waveform shown in fig.7

(d) Derive the expression of power with non sinusoidal voltage and current.7

B.E.(Third Semester)Examination,Nov.-Dec 2010(Electrical, Electrical & Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28

Note : Part (a) of each question is compulsory .Attempt any two parts from (b) , (c) & (d) of each question . Numerical should be solved with all intermediate step clearlyUnit - I1. (a) Define graph of the network. 2

(b) (i) State properties of a tree in a graph.7 (ii) With reference to fig , draw the graph and write down the tie set matrix.

(c) (i) Explain property of Duality. 7 (ii) Draw the dual of the network shown in fig.

(d) Obtain equilibrium equation using nodal equation for the network shown in fig . Also find node voltage at A and B.7

Q.2 (a) What do you understand by super node analysis? 2

(b) Find the current in each branch for the network shown in fig by nodal method.7

(c) In given figure find the current in 2 resistor using Nortons theorem . 7

(d) (i) Define Tellegens theorem . Explain the steps for solving networks using Tellegens theorem. 7(ii) Obtain the Thevenins equivalent circuit looking across 2 V voltage source in fig. Assuming I = 3 amp.

Q.3(a) Define coefficient of coupling. State its formula and unit.2(b) Find the drop across in the network given in fig.7

(c) In the following fig The parallel a.c. circuit is given. Deduce an expression for resonance frequency. Also find out Q- Factor and Dynamic impedance..7

(d) Draw a circle diagram for a circuit having constant reactance and variable resistance. Explain the procedure.7 Q.4 (a) What do you mean by phase sequence of three phase supply.2(b) A balanced star connected load of (8 + j 6 ) per phase is connected to a 3 phase 400 V supply. Find the line current, Power factor, power and total volt amperes.7(c) The input power to a three phase motor was measured by two wattmeter method. The reading were 10.4 kW and 3.4 kW. The voltage was400 V . Calculate7 (i) The power factor (ii) The line current(d) State various method of measurement of power in three phase circuit. Explain with diagram the measurement of 3 phase power by two wattmeter method.7 Q.5 (a) What are the type of symmetry in Fourier series. 2 (b) Find the exponential Fourier series of the waveform shown in fig. 7

(c) Find the trigonometric Fourier series for the full wave rectified voltage wave. 7(d) A complex voltage is given by 7

is applied across a certain circuit and the resulting current is given by

Find (i) rms value of current and voltage (ii) Total power supplied (iii) The over all power factor.

B.E.(Third Semester)Examination,April May 2010(Electrical, Electrical & Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28

Note : Part (a) of each question is compulsory .Attempt any two parts from (b) , (c) & (d) of each question . Numerical should be solved with all intermediate step clearly

Q.1. (a) Find fundamental tie set of a graph.2(b) Obtain the equilibrium equation in matrix form (using KVL) for the network shown in fig and also determine the loop and branch current . taking (4) , (5) and (6) as twigs 7

(c) Obtain the tie set matrix for the network shown taking 4 & 6 as twigs. 7

(d) Draw the dual of the network shown .7

Q.2 (a) What do you mean by super mesh ? 2 (b) Find and in the circuit shown.7

(c) Using node analysis find (a) (b) the power dissipated in the 2.5 resistor.7

(d) find the Norton equivalent of the network shown in fig.7

Q.3 (a) Why dot conversion is used? 2(b) In the circuit find voltage across the 5 resistance with the polarity shown .7(c) Derive the equation of frequency at which and is maximum and explain quality factor.7(d) Show that no value of in the circuit shown in fig will mark it resonance.7Q.4 (a) Why 3 phase supply is widely used? 2(b) Three inductive coil having per phase resistance of 40 and inductive reactance 30 are connected in Y across a 415 V , 3 phase , 50 Hz supply. Calculate the rating of 3 capacitor which must be connected in Y to the supply in order to bring the overall power factor is unity.7

(c) A 3 phase 434 V, 50 Hz supply is connected to a 3 phase Y connected induction motor and synchronous motor. Inductance of each phase of motor is (1.25 + j 2.17) . The 3 phase synchronous motor is over excited and it draw a current of 120 A at 0.87 leading power factor. Two wattmeter are connected in usual manner to measure power drawn by the two motor. Calculate7 (i) reading on each wattmeter (ii) combined power factor (d) Explain Neutral Displacement method.7Q.5 (a) What component does the Fourier series consist of ?2 (b) Explain Even , odd & half waveform symmetry. 7(c) Determine the Fourier expression of the triangular wave form in shown in fig 7

(d) Determine the power represented by the following and also determine volampere and power factor7 V A B.E.(Third Semester)Examination,Nov.-Dec 2009(Electrical, Electrical & Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28

Note : Part (a) of each question is compulsory .Attempt any two parts from (b) , (c) & (d) of each question . Numerical should be solved with all intermediate step clearly

Q.1. (a) Define incidence matrix with an example.2

(b) Use mesh analysis to evaluate three unknown current in the circuit of figure shown below. 7

(c) A graph is shown below . Find the tie set and cut set matrix and obtain the KCL and KVL equation.7

(d) Using node analysis , find the value of for the circuit shown. When the power loss in 1 resistor is 9 W.7

Q.2 (a) State Reciprocity theorem.2(b) Find the current through in the circuit shown using Thevenins theorem.7

(c) Find the current in the (-j6 ) capacitive reactance using super position theorem for the circuit shown. 7

(d) State Tellegens theorem . In the network shown =10 V , =4 V , =6 V also it is given that == 2 A while = 4 A check the validity of Tellegens theorem. 7

Q.3 (a) Find the total inductance of the three series connected coupled coil are as shown 7 Given = 1 H = 2 H = 5 H = 0.5 H = 1H = 1 H

(b) A 50 Hz , 220 V is applied to a series RLC circuit where R = 10 , L = 500 mH . The through current is found to be maximum. What is the value of the capacitive reactance.? Next a capacitor is connected in parallel with the series combination . What would be the value of capacitance such that the combination is at resonance at 100 Hz.7 (c) Find the drop across .7

(d) Explain and draw diagram for series R-L circuit. 7Q.4 (a) Define the neutral displacement voltage related to unbalance three phase system.2(b) A delta connected load has the following impedances = j10 , = 10 and = - j10 if the load be connected across a three phase 100 V supply obtain the line current..7 (c) Three impedance = 120 , = 12 and = 10 are connected in star to a three phase 4 wire 416 /240 supply system the voltage being = , = and = . Determine the three line current and current in the neutral. 7(d) A 500 volt , 3 phase motor has an output of 37.3 kW and operates at a power factor of 0.85 with an efficiency of 90 % . Calculate the reading of each wattmeter connected to measure the input.7Q.5 (a) Define even and odd symmetry with wave form.2 (b) Find the trigonometric Fourier series for the full wave rectifier voltage wave form. 7

(c) A voltage is applied in series with R = 20 and L = 0.05 H . Calculate 7 (i) The RMS value of the current and voltage (ii) Total power supplied (iii) Power factor (d) Find the Fourier coefficient of the wave form shown in fig 7

B.E.(Third Semester)Examination,April May 2009(Electrical, Electrical & Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note: Part (a) of each question is compulsory .Attempt any two parts from (b) , (c) & (d) of each question . Numerical should be solved with all intermediate step clearlyQ.1. (a) Develop the reduced incidence matrix of the graph shown in fig below.2

(b) For the graph shown in fig below consider the tree formed by branches (2,3,4), using this write , matrix.7

(c) for the network shown in fig determine the f-loop matrix and f-loop equation. 7

(d) (i) For the circuit given below in fig find dual network.7

(ii) Define lumped ,liner and bilateral element in brief.Q.2 (a) Explain the term super node and super mesh.2(b) using nodal analysis find the node voltage and in fig below.7

(c) Find Thevenins Equivalent circuit across terminal A- B and voltage across branch AB in fig.7

(d) Verify Tellegens theorem for the circuit shown in fig below.7

Value given -: =40 Volts = 32 Volts , = 4 Volts -: = 8 Volts =28 Volts = 12 Volts -: = 40 A = 24A, = 4 A -: = 28 Volts = 8 Volts , = 4 AQ.3(a) Calculate the net inductance of the network shown below.2

(b) A variable frequency constant voltage signal generator supplies a RLC circuit at sinusoidal mode. Find the frequency at which maximum voltage across the inductor would appear.7(c) Determine and in the circuit of fig assume K = 1 7

(d) A resistance of 5 is connected in series with an inductive reactor which are varies between 2 and 20 . Obtain the locus of the current vector when the circuit is connected to a 250 volt supply. Determine the value of current and power factor when the reactance is 7 (i) 3 (ii) 12 (iii) 16Q.4 (a) Differentiate balance and un balanced poly phase system.

(b) Determine the three ammeter reading for the circuit shown in fig below . The supply voltage is 3 phase , 240 volt , 50 Hz .

(c) A star connected balance load is supplied from a 3 phase balanced source voltage of 415 volt, 50 Hz. Each phase of the load consist of resistance and a capacitor in series . Reading of two wattmeter connected to measure the power read 1080 watts and 1380 watts.7 Calculate : (i) power factor of the circuit. (ii) line current (iii) Resistance and reactance of load per phase. Draw the circuit diagram and phasor diagram.(d) Three resistance of 5 , 10 and 15 are connected in delta across 3 phase 100 volt balanced supply. What the sequence component of current in the resistor and in the supply line.7Q.5 (a) Find the amplitude of the 5th harmonics of the given waveform in fig below.2

(b) find the Fourier series of the wave form shown in fig below. 7 Where

(c) Obtain the Fourier series representation of the saw tooth wave form shown in fig below and plot its spectrum.7

(d) A 3 phase generator has a generated emf of 230 volts with 15 percent 3 rd harmonics and 10 % 5th harmonics content. calculate 7 (i) rms value of line voltage for star connection. (ii) rms value of line voltage for Delta connection.

B.E.(Third Semester)Examination,Nov.-Dec 2008(Electrical, Electrical & Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28

Note : Part (a) of each question is compulsory .Attempt any two parts from (b) , (c) & (d) of each question . Numerical should be solved with all intermediate step clearlyQ.1 (a) Define Graph of the network. 2 (b) Developed the cut set matrix and equilibrium equation for the oriented graph shown in fig.7

(c) Draw the dual of the network shown in fig.7

(d) Explain the following by given example.7 (i) link (ii) Twing & tree (iii) Cut set and Tie-set matrix (iv) DualityQ.2. (a) State the superposition theorem..2(b) Replace the network shown in fig across with Norton equivalent 7

(c) in the network shown in fig determine the voltage V , which result in zero current through the impedance . Use Mesh analysis. 7

(d) Find the current through inductor of using superposition theorem for the network shown in fig.7

Q.3. (a) Define resonance in electric circuit. 2(b) For an ideal transformer, show that

Where and are the self inductance of primary and secondary winding (K=1)7 (c) Determine the Q factor of the series RLC circuit . Also determine the new value of C required for resonance at 500 kHz when the value of L is doubled and calculate the new Q- factor.7

(d) A parallel LC circuit has an inductance L = 100 H with a coil resistance of 12 . The capacitor C is adjustable over the range 200 pF to 300 pF. Determine the maximum and minimum frequency for the circuit. Also calculate the Q factor and bandwidth. 7

Q.4 (a) What is mean by phase sequence . 2(b) derive the relation ship between phase voltage and line voltage and phase current and line current for 3 phase balance star connected system. Draw the phasor diagram. 7(c) A three phase balance load is supplied from three phase balance 400 V 50 Hz supply and is connected in delta . The load draw the line current of 10 amp at 0.8 power factor lagging. Calculate (i) Total phase current (ii) Total active power (iii) total reactive power7(d) A delta connection with balance load of resistance of 200 in series with capacitance of 10 F and inductance of L = 400 mH . The line voltage is and frequency 50 Hz. Calculate the load current and line current.Q.5 (a) Define the frequency spectra.2(b) Derive the trigonometric form of Fourier series.7(c) Find the exponential Fourier series of given wave form in fig.7

d) A square waveform is shown in fig . Obtain the Fourier series.7

B.E.(Third Semester)Examination,April May 2008(Electrical, Electrical & Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note: Part (a) of each question is compulsory .Attempt any two parts from (b) , (c) & (d) of each question . Numerical should be solved with all intermediate step clearlyUnit 1Q.1. (a) Define unilateral , bilateral , active and passive circuit element. 2(b) Find in the circuit shown below.7

(c) Construct the dual of the network in the neat form with construction going from meshes to nodes , with normalization factor equal to unity for the fig 7

(d) Write down the tie set matrix of the network shown in fig after drawing the graph and selecting a tree .7

Unit IIQ.2. (a) Define ideal voltage and ideal current source.2(b) By the use of superposition theorem. Find the power absorbed by each source in fig. 7

(c) Find the current flowing through 10 resistance using Thevenins theorem in fig..7

(d) Calculating using Norton theorem if and volts in fig7

Unit IIIQ.3. (a) Define coefficient of coupling2

(b) Find the power delivered by the source for the coupled circuit shown in fig .Take rad/sec.7

(c) A series RLC circuit is expressed from a constant voltage , variable frequency source. The current in the circuit becomes maximum of a frequency of rad/sec. and falls to half the maximum value at rad/sec .if the resistance in the circuit is 3 . Find L and C. 7

(d) A parallel circuit consist of 20 capacitive reactance in one branch and a resistance of 25 ohms in series with a variable inductance in another branch . If the circuit voltage is 200 V and the variable inductive reactance is assumed to vary from zero to a very high value . Draw the total current locus and determine the minimum current and maximum voltage.7Unit IVQ.4. (a) Define the term neutral displacement voltage related to unbalance three phase system. 2(b) A three phase three wire system with phase sequence of a,b,c is shown in fig. Let and . If the total load inclusive of wire resistance () draws 5 kVA at power factor = 0.8 lag . Determine the power lost in line resistance and the source line to neutral voltage .7 (c) A 3 phase ,440 V delta connected system has the load branch RY 20 kW at power factor 0.8 lag branch BR 20 kVA at power factor 0.6 leading. Find the line current and reading on wattmeter whose current coil are in phase R and B. 7(d) In fig shown Lab = Lcd = 0.01 Henry and the coefficient of coupling is 0.5. Assume no resistance or inductance except as indicated in fig . The phase sequence is a,b,c and . for rad/sec. Calculate the line current. 7

Q.5 (a) Define even and odd symmetry with suitable wave forms.2(b) Express the voltage waveform by Fourier series for the fig shown. 7

(c) Determine whether the following two wave are of the same shape . Also find the power7 (d) Three similar star connected coil each of resistance 25 and inductance 0.5 H are supplied from a 3 phase star connected alternator. The phase voltage is where . The star point of the load and alternator are connected . calculate effective value of the line voltage , total power absorbed by the load and current in the neutral conductor.7

B.E.(Third Semester)Examination,Nov.-Dec 2007(Electrical, Electrical & Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note : Part (a) of each question is compulsory .Attempt any two parts from (b) , (c) & (d) of each question . Numerical should be solved with all intermediate step clearlyUnit 1Q.1 (a )Define duality with an example. 2(b) Find in the circuit shown below.7

(c) Determine using nodal analysis & power being supplied by dependent source.7

(d) Find value of and in the circuit by constructing a suitable tree.7

Unit IIQ.2 (a) State Tellegens theorem.2(b) use the superposition theorem to find in the circuit & power absorbed by 100 V source.7

(c) Find the Thevenins equivalent for the network shown below.7

(d) Find the Norton equivalent of the given network.7

Unit IIIQ.3 (a) Define quality factor & bandwidth of parallel circuit.2(b) Compute the voltage for the coupled circuit shown in fig.7(c) A 480 V , 60 Hz source supplies energy to a parallel circuit consisting of a branch & a branch. Determine the impedance of a circuit element that if connected in series with source will causes the system to be in resonance.7

(d) Explain & draw locus diagram for series R-L circuit.7

Unit IVQ.4 (a) Describe in brief the phase sequence . 2(b) The balanced 3 phase star connected source has with positive phase sequence. The balanced 3 phase load draw 15 kW & 9 KVAR . find7 (i) (ii) (iii)

(c) A balanced 3 phase 3 wire system has star connected load . Each phase contains three loads in parallel j 100 , 100 & 50 + j 50 . Assume positive phase sequence with . find 7 (i) (ii) (iii) power factor of load (iv) power drawn by load(d) The line current to a lightly loaded 3 phase motor ,operating from a 450 V 3 phase system is 24 A . The power factor of motor is 0.47 lagging . If the two wattmeter method is used to measure the 3 phase power supplied to motor calculate reading of each wattmeter. 7Unit VQ.5 (a) Write the expression for Fourier coefficient. 2(b) Find the Fourier series representation of given wave form.7

(c) Deduce the expression for exponential Fourier coefficient .7(d) Find the average power supplied to network if and Also find effective value of current and voltage.

B.E.(Third Semester)Examination,April May 2007(Electrical, Electrical & Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note: Attempt any two question from each unit .All question carry equal marksUnit 1Q.1 (a) Draw the fundamental cut set corresponding to a tree of the network graph which is shown by solid in fig. Write the fundamental cutest matrix of the graph .Write all linearly independent KCL equation of the network.8

(b) For the network shown determine f loop matrix, loop impedance matrix and loop current (based on graph theory)8

(c) (i) Draw the dual of the network given below. 4

(ii) Explain the following :4(a) Lumped and distributed parameter(b) Active and passive network Unit IIQ.2 (a) Using mesh analysis Find the magnitude of the current dependent source and current through the 2 resistor for the network given below8

(b) write the node equation for the network shown in fig in matrics form and hence find current through the 4 resistance.8

(c) Use Thevenins thermo to determine the current trough the impedance (6+j8) in the network of fig 8

Unit IIIQ.3 (a) Find the current drawn from the source in fig. 8

(b) Explain what do you understand by bandwidth and selectivity of series resonant circuit , Show that

For the series resonating circuit , where the notation has their usual meaning. 8(c) Draw the current locus diagram of the circuit shown in fig where R is variable between 1 and 5 ohms . From the diagram find the value of total current when R = 2 ohms 8

Unit IVQ.4 (a) With necessary circuit the phasor diagram . Show that power and power factor of 3 phase circuit can be measured with two wattmeter.8(b) Three impedances = , = and = are connected in stare across a 3 phase 3 wire 416 volt supply system. The voltage being , and Volts . Determine all the line current and displacement neutral voltage. 8(c) Define phase sequence of a poly phase system . Explain the method of checking the phase sequence of a three phase voltage system 8Unit VQ.5 (a) find the Fourier series for the wave shown in fig also draw a graph showing different harmonics and there magnitude. 8

(b) In a linear circuit consisting of R = 9 ohm and L = 8 mH a current is flowing find 8 (i) The equation of applied voltage (ii) rms value of current and voltage (iii) the average power(c) Why third harmonic voltage does not contribute to line voltage in 3 phase star and delta system although it appears in generated voltage ? Explain

B.E.(Third Semester)Examination,Nov.-Dec 2006(Electrical, Electrical & Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note: Attempt any two question from each unit .All question carry equal marksUnit 11. Find for the circuit shown in fig using source transformation and Kirchhoffs law. 8

2. The given matrix is a reduce incidence matrix of a graph. Draw the graph and obtain the fundamental cut set matrix using branch numbered (1), (3) and (5) as twigs.8

3. What is dual network ? Explain the procedure to obtain the duel network of a given network. Draw the dual of the network in fig 8

Unit II4. Find the current through the capacitor of (-5j) reactance in fig using super position theorem. 8

5. If the power loss in 1 resistor of fig is 25 W . Find the value of K in the dependent source using nodal method. 8

6. Determine current I in the network shown in fig using Thevenins theorem.8

Unit III7. Draw the electrical equivalent circuit by replacing dotes with voltage source and calculate the input impedance of the network shown in fig8

8. The winding sense of four coil on the iron core is shown in fig. Using different shaped dotes establish polarity marking for the winding .Explain reason for each polarity marking using suitable sketches all relevant coils at a time.8

9. A circuit is made up of 1 K resistance , a 1 F capacitance and a 100 mH inductance , all connected in series a voltage of 100 V at varying frequencies is applied to the circuit . Determine (a) Resonant frequency(b) Q factor(c) Half power frequencies8Unit IV

10. A three phase supply , with an effective line voltage 240 V and phase sequence ABC has the unbalance connected load shown in fig. Obtain the line current and total power.8

11. A 500 volts 3 phase motor has an output of 37.3 kW and operates at a pf of 0.85 with an efficiency of 90 % . Calculate the treading on each of the two wattmeter connected to measure the input.812. A y connected load with = , = and = is connected to a three phase ,three wire , ABC system having effective line voltage 141.4 V . Find the load voltage , , and the displacement neutral voltage , where O is the star point 813. Determine the Fourier series for the Saw tooth function shown in fig.8

14. The voltage applied to a load is and the current in the load is . Determine the average power in the load and the effective value of current and voltage.815. Deduce the Expression for exponential Fourier coefficient and obtain expression for exponential form of Fourier series.8