Magnetic flux (in weber) in a closed circuit of resistance 20 Ω varies with time t s as ϕ = 8 t 2 - 9 t + 5 . The magnitude of the induced current at t = 0 . 25 s will be _____ mA .

Question

Magnetic flux (in weber) in a closed circuit of resistance 20 Ω varies with time t s as ϕ = 8 t 2 - 9 t + 5 . The magnitude of the induced current at t = 0 . 25 s will be _____ mA .,

MARKS App · Accepted Answer

Given that magnetic flux ϕ = 8 t 2 - 9 t + 5 According to Faraday's law of electromagnetic induction emf = - d ϕ d t = - 16 t - 9 At t = 0 . 25 s emf = - 16 × 0 . 25 - 9 = 5 V Current = emf Resistance = 5 V 20 Ω = 1 4 A = 1000 4 mA = 250 mA

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