There is a horizontal cylindrical uniform but time varying magnetic field increasing at a constant rate d B d t as shown. A charged particle having charge q and mass m is kept in equilibrium, at the top of a spring of spring constant K in such a way that it is on the horizontal line passing through the center of the magnetic field as shown in figure. The compression in the spring will be

Question

There is a horizontal cylindrical uniform but time varying magnetic field increasing at a constant rate d B d t as shown. A charged particle having charge q and mass m is kept in equilibrium, at the top of a spring of spring constant K in such a way that it is on the horizontal line passing through the center of the magnetic field as shown in figure. The compression in the spring will be, 1 K m g - q R 2 2 l d B d t, 1 K m g + q R 2 l d B d t, 1 K m g + 2 q R 2 l d B d t, 1 K m g + q R 2 2 l d B d t

MARKS App · Accepted Answer

E 2 π l = π . R 2 d B d t E = R 2 2 l d B d t q E + m g = K x x = q . R 2 K 2 l d B d t + m g K x = 1 K m g + q R 2 2 l d B d t .

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