Question 31 (1 point) See Figure 14.3. What relationship exists between voltages

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Question 31 (1 point)

See Figure 14.3. What relationship exists between voltages v1 and v2?

Question 31 options:

A)

v1 lags v2 by 45°.

B)

v1 lags v2 by (/4)°.

C)

v1 leads v2 by 45°.

D)

v1 leads v2 by (/4)°.

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Question 32 (1 point)

How much power is dissipated by a resistor if the peak current through it is i = 10 sin(t + 30°)and the peak voltage across it is v = 50 sin(t - 30)°

Question 32 options:

A)

250 W

B)

353.5 W

C)

500 W

D)

5 W

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Question 33 (1 point)

At what frequency does a 10 F capacitor have a reactance of 100?

Question 33 options:

A)

159 Hz

B)

1.59 kHz

C)

1.59 MHz

D)

15.9 kHz

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Question 34 (1 point)

The more reactive the load, the lower the power factor.

Question 34 options:

True

False

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Question 35 (1 point)

The derivative of a sine wave is a cosine wave.

Question 35 options:

True

False

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Question 36 (1 point)

A measurement of the rate at which a capacitor will store a charge on its plates is called?

Question 36 options:

A)

Capacitance

B)

Total voltage

C)

Reactance

D)

Plate separation

A)

v1 lags v2 by 45°.

B)

v1 lags v2 by (/4)°.

C)

v1 leads v2 by 45°.

D)

v1 leads v2 by (/4)°.

0 2 2 Figure 14.3

Explanation / Answer

Answer :- 31) Option C is the correct answer.
Here we can see that at wt = 0, signal V2 is zero while signal V1 has some positive value. Thus V1 leads V2 by 450. Also we can say that V1 leads V2 by pi/4 radian.

Answer :- 32) Option A is correct is the correct answer.
Power dissipated = RMS voltage x RMS current = (50/(2)0.5 x (10/(2)0.5) W
Power dissipated = (50 x 10)/2 W
Power dissipated =  250 W .

Answer :- 33) Option A is the correct answer.
The magnitude of capacitive reactance or resistance is given by XC = 1/(2*pi*freq*C)
So, 100 = 1/(2*3.14*freq*0.00001)
Thus freq = 159.2356 Hz.

Answer :- 34) TRUE.
Power factor is the ratio of true power to the apparant power. If load is more reactive then true power will be less and hence less power factor.

Answer :- 35) TRUE.
The derivative of sine wave is a cosine wave always.

Answer :- 36) Option A is the correct answer.
The rate of charge store per unit voltage is called capacitance of the capacitor. C = Q / V .

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