NEETPhysicsElectromagnetic InductionMCQ+4 / −1
The magnetic flux linked to a circular coil of radius R is
Wb
The magnitude of induced emf in the coil at t = 5 s is
- A192 V
- B108 V
- C197 V
- D150 V
View written solutionFree
Correct answer: A
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,
$$|\varepsilon | = 6 \times 25 + 8 \times 5 + 2$$
$ = 150 + 40 + 2$
$ = 192$ V
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