First slide

A.C. Generator

Question

The voltage of an ac source varies with time according to the equation $V = 100 \sin 100 πcos 100 πt$ where t is in seconds and V is in volts. Then

Moderate

A

The peak voltage of the source is 100 volts
B

The peak voltage of the source is 50 volts
C

The peak voltage of the source is $100 / \sqrt{2}$ volts
D

The frequency of the source is 50 Hz

Solution

$\begin{array}{l} V = 50 \times 2 \sin 100 π t \cos 100 π t = 50 \sin 200 π t \\ \Rightarrow V_{0} = 50 Volts and v = 100 Hz \end{array}$

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