Electro Magnetic Induction And Alternating Currents Question 388

Question: Magnetic flux f (in weber) linked with a closed circuit of resistance 10 ohm varies with time t (in seconds) as $ \varphi =5t^{2}-4t+1 $ The induced electromotive force in the circuit at t = 0.2 sec. is [MP PMT 2001]

Options:

A) 0.4 volts

B) ? 0.4 volts

C) ? 2.0 volts

D) 2.0 volts

Show Answer

Answer:

Correct Answer: D

Solution:

$ e=-\frac{d\varphi }{dt}=-(10t-4) $

Þ $ {{(e)}_{t=2}}=-(10\times 0.2-4)=2\ volt $



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