Question

The magnetic flux linked with coil, in weber is given by the equation,
$+3t+16 .$
∅= 5t²+3t+16 . The induced emf in the coil in the fourth second is
(a) 10 V
(b) 30 V
(c) 45 V
(d) 90 V​

Answer 1

Answer : option (c) 45 V

explanation : magnetic flux linked with coil is given by the equation,

we know, from Faraday's law,

he states that the induced electromotive force (emf ) in any closed circuit is equal to the negative of the time rate of change of the magnetic flux through the circuit.

e.g.,

now, first of all, differentiate given equation of magnetic flux with respect to time,

e.g.,

or,

so, induced emf at t = 4 sec,

hence, induced emf = 43 V it is near of 45 V so, answer is option (c)

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