The magnetic flux (in weber) linked with a closed circuit of resistance 8 ? varies with time (in seconds) as . The induced current in the circuit at t = 2s is

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Solution

Q.
The magnetic flux $ϕ$ (in weber) linked with a closed circuit of resistance 8 Ω varies with time (in seconds) as $ϕ = 5 t^{2} - 36 t + 1$ . The induced current in the circuit at t = 2s is _____ A. [2024]

Ans.
(2)    $ε = - (\frac{d ϕ}{d t}) = - 10 t + 36$

   $at t = 2 s, ε = 16 V$

   $i = \frac{ε}{R} = \frac{16}{8} = 2 A$

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