The magnetic flux through a coil perpendicular to its plane is varying according to the relation ϕ = 5 t 3 + 4 t 2 + 2 t - 5 Weber. If the resistance of the coil is 5 ohm , then the induced current th

Question

The magnetic flux through a coil perpendicular to its plane is varying according to the relation ϕ = 5 t 3 + 4 t 2 + 2 t - 5 Weber. If the resistance of the coil is 5 ohm , then the induced current through the coil at t = 2 s will be,

TestHub · Accepted Answer

Given, ϕ = 5 t 3 + 4 t 2 + 2 t - 5 Magnitude of induced emf ε = d ϕ d t = 15 t 2 + 8 t + 2 At, t = 2 s , ε = 60 + 16 + 2 = 78 V Current, i = ε R = 78 5 = 15 . 6 A

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