The capacitor plates are fixed on an inclined plane and connected to a battery of emf E. The capacitor plates have plate area a, length l, and the distance between them is d. A dielectric slab of mass m and dielectric constant K is inserted into the capacitor and tied to mass M by a massless string as shown in the figure. Find the value of M for which the slab will stay in equilibrium. There is no friction between slab and plates.

Question

Infinity Learn · Accepted Answer

For equilibrium, we haveT $$=$$ MgAnd $$T=F+$$$$sin$$⁡$$30$$∘or $$Mg=F+mg2or$$ M˙$$=m2+Fg=m2+E2$$ε$$0A(k$$−$$1)2lg$$⁡d

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