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ENGR 205, Spring 2012 [Homework 6 (Chapter 9)]

Dr. Fahad Alajmi page 1

P9.1

A sinusoidal current has a maximum amplitude of 20A. The current passes through one

complete cycle in 1ms. The magnitude of the current at zero time is 10A.

a)

What is the frequency of the current in hertz?b) What is the frequency in radians per second?c) Write the expression for using the cosine function. Express in degrees?d) What is the rms value of the current?

*P9.2

A sinusoidal voltage is given by the expression .

a) What is the period of the voltage in milliseconds?b) What is the frequency in hertz?c) What is the magnitude of at ?d) What is the rms value of?

P9.4

Given the voltage V, determine the frequency of the voltagein Hertz and the phase angle in degrees.

P9.5

If

Express as a single sinusoidal function.

a) Solve by using trigonometric identities.

b) Solve by using the phasor concept.

*P9.6

Find the phasor transform of each trigonometric function:

a)

.

b) .

30 A2 ms 5 A

4000050

3416

50

4

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P9.7

Find the time-domain expression corresponding to each phasor:

a) .b) .c) .

*P9.8

Find Z in the network in figure 1

Figure 1

P9.9

Find the impedance Z shown in figure 2 at a frequency of 60Hz.

Figure 2

631

50

3j 4

6

100 Hz

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P9.10

Find Y in the network in figure 3?

Figure 3

*P9.11

In the circuit shown in figure 4, determine the value of the inductance such that the

current is in phase with the source voltage.

Figure 4

*P9.12

The impedance of the circuit in figure 5 is real at f=60 Hz, what is the value of L?

Figure 5

j 3

4

2

15

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P9.13

Find the value of the capacitance C, shown in the circuit in figure 6 so that will be inphase with the source voltage.

Figure 6

*P9.14

Draw the frequencydomain network and calculate in the circuit shown in figure7 if mA, mA, and V.

Figure 7

*P9.15

Use nodal analysis to find Io and Vo in the circuit seen in figure 8.

Figure 8

209

30010

5.3Vo 12

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P9.16

Find in the circuit in figure 9, using mesh analysis.

Figure 9

*P9.17

Find VO in the network in figure 10, using superposition.

Figure 10

-j 4

j6

4

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P9.18

Use source transformation to determine IO in the network in figure 11.

Figure 2

P9.19

Find Vo in the circuit in figure 12 in using Norton theorem.

Figure 3

*P9.20

Find the Thevenin equivalent of the network in figure 13 at terminal A-B.

Figure 4

-j6j4

20

Vo

10.8

5

2

3

engr205_hw6_ch9

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