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The magnetic flux linked with a coil, in webers, is given by the equations ϕ=3t2+4t+9 . Then the magnitude of induced e.m.f. at t = 2 second will be

a
2 volt
b
4 volt
c
8 volt
d
16 volt

detailed solution

Correct option is D

e=−dϕdt=−ddt3t2+4t+9=−(6t+4)e=−[6(2)+4]=−16⇒|e|=16 volt

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