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Question: Magnetic flux φ (in weber) linked with a closed circuit of resistance 10 ohm varies with time t (in ...

Magnetic flux φ (in weber) linked with a closed circuit of resistance 10 ohm varies with time t (in seconds) as

ϕ=5t24t+1\phi = 5 t ^ { 2 } - 4 t + 1

The induced electromotive force in the circuit at t = 0.2 sec. is

A

0.4 volts

B

– 0.4 volts

C

– 2.0 volts

D

2.0 volts

Answer

2.0 volts

Explanation

Solution

e=dϕdt=(10t4)e = - \frac { d \phi } { d t } = - ( 10 t - 4 )