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The magnetic flux linked with coil, in weber is given by the equation,  ϕ=5t2+3t+16. The induced emf in the coil in the fourth second is

a
10 V
b
30 V
c
45 V
d
90 V

detailed solution

Correct option is A

|e|=dϕdt=ddt5t2+3t+16=(10t+3)when  t=3sec,e3=(10×3+3)=33Vwhen  t=4sec,e4=(10×4+3)=43VHence emf induced in fourth second =e4−e3=43−33=10V

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