Question 336: Electromagnetic Induction

Question

The magnetic flux linked to a circular coil of radius R is
$$\phi  = 2{t^3} + 4{t^2} + 2t + 5$$ Wb
The magnitude of induced emf in the coil at t = 5 s is

Accepted Answer

Given magnetic flux is
$$\phi  = 2{t^3} + 4{t^2} + 2t + 5$$
Induced emf is given by
$$\varepsilon  = {{ - d\phi } \over {dt}} = {{ - d} \over {dt}}(2{t^3} + 4{t^2} + 2t + 5)$$
$$|\varepsilon | = 6{t^2} + 8t + 2$$
At $$t = 5$$ s,
$$|\varepsilon | = 6 	imes 25 + 8 	imes 5 + 2$$
$$ = 150 + 40 + 2$$
$$ = 192$$ V

Answer

192 V

Answer

108 V

Answer

197 V

Answer

150 V

Electromagnetic Induction

The magnetic flux linked to a circular coil of radius R is $\phi = 2{t^3} + 4{t^2} + 2t + 5$ Wb The magnitude of induced emf in the coil at t = 5 s is

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