A conducting loop (as shown) has total resistance $R$ . A uniform magnetic field $B = γ t$ is applied perpendicular to plane of the loop where $γ$ is a constant and $t$ is time. The induced current flowing through loop is

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Given, Uniform magnetic field B = γ t Total flux, B 1 → . A 1 → + B 2 → . A 2 → = B b 2 cos ⁡ 0 o + B a 2 cos ⁡ 180 o = B b 2 - B a 2 ϕ = B ( b 2 - a 2 ) ϕ = γ t ( b 2 - a 2 ) We know that, Induced current (i) = e R = d ϕ d t R From Equation (i), i = d d t [ γ t b 2 - a 2 ] R i = b 2 - a 2 γ R

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