First slide

Faraday's law of Electromagnetic induction

Question

The magnetic flux linked with a coil (in Wb) is given by the equation $ϕ = 5 t^{2} + 3 t + 16$ . The magnitude of induced emf in the coil at the fourth second will be

Easy

A

10 V
B

33 V
C

43 V
D

108 V

Solution

The magnitude of induced emf is given by
$| ε | = \frac{{dϕ}_{B}}{dt} = \frac{d}{dt} (5 t^{2} + 3 t + 16)$
$\begin{array}{l} | ε | = 10 t + 3 + 0 \\ at t = 4 s \\ | ε | = 10 \times 4 + 3 \\ | ε | = 43 V \end{array}$

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