The magnetic flux through a metal ring varies with time as

PHYSICS · Subjective · CBSE · Physics · Electromagnetic Induction · Electromagnetic Induction

Problem

The magnetic flux through a metal ring varies with time tt as ϕB=3(at3−bt2) T⋅m2\phi_B=3(at^3-bt^2)\,\text{T}\cdot\text{m}^2, where a=2.00 s−3a=2.00\,\text{s}^{-3} and b=6.00 s−2b=6.00\,\text{s}^{-2}. The resistance of the ring is 3.0 Ω3.0\,\Omega. Determine the maximum induced current during 0≤t≤2.0 s0\leq t\leq2.0\,\text{s}.

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