First slide

Magnetic flux and induced emf

Question

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

Moderate

A

2 volt
B

4 volt
C

8 volt
D

16 volt

Solution

$\begin{array}{l} e = - \frac{dϕ}{dt} = - \frac{d}{dt} (3 t^{2} + 4 t + 9) = - (6 t + 4) \\ e = - [6 (2) + 4] = - 16 \Rightarrow | e | = 16 volt \end{array}$

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