First slide

Magnetic flux and induced emf

Question

The magnetic flux linked with a coil at any instant ‘t’ is given by $ϕ$ = 5t³ – 100t + 300, the e.m.f. induced in the coil at t = 2 second is

Moderate

A

– 40 V
B

40 V
C

140 V
D

300 V

Solution

$\begin{array}{l} e = - \frac{dϕ}{dt} = - \frac{d}{dt} (5 t^{3} - 100 t + 300) \\ = - (15 t^{2} - 100) at t = 2 \sec; e = 40 V \end{array}$

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