a)The magnetic flux through a single loop of wire changes from 2.0 to 0 Webers i

Question

a)The magnetic flux through a single loop of wire changes from 2.0 to 0 Webers in 35.8 milliseconds. Calculate the magnitude of the emf induced in the loop in Volts to 2 sf.

b)When we say that the voltage is 120 Volts RMS, do we mean:

1. The average value of the voltage is 120 Volts?

2. The peak value of the waveform is 120 Volts?

3. The peak-to-peak value of the waveform is 120 Volts?

4. the DC voltage that would deliver the same power to a resistive load as would the AC waveform?

c) How much power is consumed in an AC circuit with voltage of Vrms and resistance R?

1. Vrms/R

2. (Vrms)2/R

3. (Vrms)2R

4. R/(Vrms)2

d)An AC voltage, whose peak value is 17 V, is across a 359 Ohm resistor. What is the value of the rms current in the resistor? Give your answer to 3 sf.

Explanation / Answer

a.

induced emf e = rate of change of magnetic flux

emf e = d(phi)/dt

emf e = (2-0)/(35.8*10^-3)

emf e = 56 Volts

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b).

Vrms = Vmax/sqrt2

120 rms volatge means 1. The average value of the voltage is 120 Volts

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c.

Power in terms of RMs Volatge is givne by

Pavg = Vrms^2/R

option 2

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d.
Vmax = 17 V

Vrms = 17/1.414 = 12.022 Volts

Irms = Vrms/R

Irms = 12.022/359

Irms 0= 0.033 Volts

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