ac electricity gabrielse. dc voltage from a battery gabrielse measure the voltage of a battery over...
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![Page 1: AC Electricity Gabrielse. DC voltage from a battery Gabrielse Measure the voltage of a battery over and over again. A “DC” voltage does not change in](https://reader036.vdocument.in/reader036/viewer/2022062417/551b7b3e550346a10a8b4e95/html5/thumbnails/1.jpg)
AC Electricity
Gabrielse
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DC voltage from a battery
Gabrielse
Measure the voltage of a battery over and over again.
A “DC” voltage does not change in time.
Direct Current
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Why three connectors?
radiocurrent
no current flowsexcept in emergency
need high voltage insulation
metal shield
For some devices the metal shield is left off• the insulation had better be good• the different sizes of pins can be used to make sure high and low voltages go to the right places
Gabrielse
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Measure “Wall” Voltage Over Time
The cycle repeats 60 times per second = 60 Hertz
Graph this voltage (Hot)
0 Volts(Ground)
0 Volts(Neutral)
Gabrielse
-200
-150
-100
-50
0
50
100
150
200
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04
Time (s)
Vol
tage
(V
)0.017 seconds = 1/60 seconds
156 Volts
-156 Volts
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Why is this called 110 Volts AC?
Alternating Current
Gabrielse
-200
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0
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150
200
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04
Time (s)
Vol
tage
(V
)
0.017 seconds = 1/60 seconds
Vmax = +156 Volts
Vmin = -156 Volts
peak-to-peak voltage = 312 Volts
average voltage = 0 Volts
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Solution: Use (RMS) Root Mean Squared Voltage(do it backwards)
Average = 0 Volts Not a good measure
Gabrielse
Problem: How to measure a voltage that changes with time?
S square firstM take the average (mean)R take square root last
-200
-150
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-50
0
50
100
150
200
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04
Time (s)
Vol
tage
(V
)
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Square first (S in RMS)
Gabrielse
Squaring:
• makes all the negative parts positive.
• stretches the wave out.
-2500
2500
7500
12500
17500
22500
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04
Time (s)
Vol
tage
(V
)
The average isn’t zero anymore
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Take the Average (Mean) of V2 (M in RMS)
Gabrielse
-2500
2500
7500
12500
17500
22500
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04
Time (s)
Vol
tage
(V
) Mean is how mathematicians say average.
Now we have a number but it is way bigger than what we measured.
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Take the square root (R in RMS)
-2500
2500
7500
12500
17500
22500
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04
Time (s)
Volta
ge (
V)
VoltsVRMS 110
Gabrielse
USA: VRMS = 110 voltsMost of the rest of the world: VRMS = 220 volts
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0
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0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04
Time (s)
Voltage (
V)
zoom
Now we have a measure for AC Voltage, VRMS
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Circuit breakers for a house
Gabrielse
main circuitbreaker200 ampservice
30 amp electricstove
15 and 20 amp circuit
breakers
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Where does the electricity come from?
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“Telephone” poles carry many servicesGabrielse
cable TV
power
telephone
“Telephone” pole in front of my parent’s house
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Electrical power transmission is at high voltage
earth
powerline
Vrr: unavoidable resistance
in the transmission line
Gabrielse
I
R in townR >> r
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Electrical power transmission is at high voltage
earth
powerline
Vrr: unavoidable resistance
in the transmission line
Gabrielse
I
R in town
Definition of electrical power: P = IVUse Ohm’s law: V = IRResult: P = IV = I (IR) P = I2R
R >> r
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Electrical power transmission is at high voltage
earth
powerline
Vrr: unavoidable resistance
in the transmission line
Gabrielse
I
R in town
Power lost in the transmission line: I2r (becomes heat) minimize I
Power used in town IV make V big to get same IV
Definition of electrical power: P = IVUse Ohm’s law: V = IRResult: P = IV = I (IR) P = I2R
R >> r
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Transformer on telephone poleGabrielse
Transformer on “telephone” pole in Burlington, MA.
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High voltage transmission lineGabrielse
Photo by G. Gabrielse.
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Notes
Gabrielse
6. Alternating and Direct Current a. Direct: proceeding in a straight line b. Direct Current (DC)
i. Current always goes in a straight(constant current) line. ii. Batteries provide DC voltage
c. Alternate: to take turns, to go back and forth i. Current goes back and forth between positive and negative directions.
ii. Wall outlets provide AC voltage
iii. AC voltage and current is measured using root, mean, square (RMS)
1. RMS voltage gives you the “effective” voltage d. Power (P)
i. P = IV = I2R
Neutral Hot
Ground