Electro Magnetic Induction And Alternating Currents Question 164
Question: The voltage of an ac supply varies with time (t) I as $ V=120\sin 100\pi t\cos 100\pi t $ . The maximum voltage and frequency respectively are
Options:
A) 120 volts, 100 Hz
B) $ \frac{120}{\sqrt{2}}volts,100Hz $
C) 60 volts, 200 Hz
D) 60 volts, 100 Hz
Show Answer
Answer:
Correct Answer: D
Solution:
-
Given,
$ V=120\sin (100\pi t)\cos (100\pi t) =60[2\sin (100\pi t).\cos (100\pi t)]=60\sin 200\pi t $
Thus, $ V_{0}=60V $ , $ \omega =200\pi $
or. $ f=\frac{200\pi }{2\pi }=100Hz $
