Electro Magnetic Induction And Alternating Currents Question 92
Question: In an ac circuit, the instantaneous values of e.m.f. and current are e = 200 sin 314 t volt and $ i=\sin ,( 314t+\frac{\pi }{3} ) $ ampere. The average power consumed in watt is [NCERT 1990; RPMT 1997]
Options:
A) 200
B) 100
C) 50
D) 25
Show Answer
Answer:
Correct Answer: C
Solution:
$ V_{rms}=\frac{200}{\sqrt{2}},\ \ i_{rms}=\frac{1}{\sqrt{2}} $
$ \therefore P=V_{rms}\ i_{rms}\cos \varphi =\frac{200}{\sqrt{2}}\frac{1}{\sqrt{2}}\cos \frac{\pi }{3}=50\ watt $
