A uniform but time variant magnetic field exists in a cylindrical region directed along the axis of cylinder of radius R. The graph of induced electric field at a given time v/s ‘r’ is (r = distance from axis)
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Question

A uniform but time variant magnetic field exists in a cylindrical region directed along the axis of cylinder of radius R. The graph of induced electric field at a given time v/s ‘r’ is (r = distance from axis)

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G1 Physics · Accepted Answer

For cylindrical symmetry, Faraday’s law gives E(2πr)=|dΦ/dt|. Thus E∝r inside the field region and E∝1/r outside. The matching graph is Image 1.