On plate of a capacitor is connected to a spring as shown in fig. Area of both the plates is A. In steady state, separation between the plates is 0 8 d (spring was in its natural length and the distance between the plates was d when the capacitor was uncharged). The force constant of the spring is approximately

Question

Infinity Learn · Accepted Answer

The electrostatic attraction between the plates $$=$$ spring force ∴ $$q22$$ε$$0A=$$$$kx$$   or    $$(CV)22$$ε$$0A=k$$[d−$$0$$⋅$$8d$$]or   ε$$0A0$$⋅$$8d2V22$$ε$$0A=k(0$$⋅$$2d)or$$  $$k=$$ε$$0AV20$$⋅$$256d3$$≈$$4$$ε$$0AV2d3$$.

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