The magnetic flux ϕ (in weber) linked with a closed circuit of resistance 8 Ω varies with time (in seconds)…

The magnetic flux ϕ (in weber) linked with a closed circuit of resistance 8 Ω varies with time (in seconds) as ϕ=5t236t+1. The induced current in the circuit at t =2 s is _______ A.

Solution

Induced EMF is given by, ε=dϕdt=10t36

Now, it is given that at t=2 s, ε=16 V.

Therefore, i=εR=168=2 A

Asked in: JEE Main 2024 (31 Jan Shift 2)

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