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Q.

Consider the situation shown in figure. The width of each plate is b and distance between the plates is d. The capacitor plates are rigidly clamped in the laboratory and connected to a battery of emf E. All surfaces are frictionless. Calculate the value of M for which the dielectric slab will stay in equilibrium.

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a

ε0bE2(K−1)2dg

b

ε0bE2(K+1)dg

c

ε0bE2(K−1)dg

d

2ε0bE2(K−1)dg

answer is A.

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Detailed Solution

∵electric force on the slab

F=dudx=12ε0bE2d(K−1)

Mg=ε0bE22d(K−1)

M=ε0bE22dg(K−1)

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