A conducting circular loop of resistance \(20 \Omega\) and cross-sectional area \(20 \times 10^{-2} \mathrm{~m}^{2}\) is placed perpendicular to a spatially uniform magnetic field \(B\), which varies with time \(t\) as \(B=2 \sin (50 \pi t) T\). Find the net charge flowing through the loop in \(20 \mathrm{~ms}\) starting from \(\mathrm{t}=0\)

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A conducting circular loop of resistance \(20 \Omega\) and cross-sectional area \(20 \times 10^{-2} \mathrm{~m}^{2}\) is placed perpendicular to a spatially uniform magnetic field \(B\), which varies with time \(t\) as \(B=2 \sin (50 \pi t) T\). Find the net charge flowing through the loop in \(20 \mathrm{~ms}\) starting from \(\mathrm{t}=0\)

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kritika · Answer 1 · 2021-12-15T12:46:03+0000

Ans: (C)
\(\Delta q=\frac{\Delta \varphi}{R}=\frac{\varphi_{2}-\varphi_{1}}{R}=0, \Delta q=0\left[\varphi_{1}=\varphi_{2}=0\right.\) at \(t=0\) and \(\left.t=20 \mathrm{~ms}\right]\)

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