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The capacitor plates are fixed on an inc...

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 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 equilibriu. There is no friction between slab and plates.

A

`m/2 + (E^2epsilon_0A(k-1))/(2lgd)`

B

`m/2 - (E^2epsilon_0A(k-1))/(2lgd)`

C

`m/2 + (E^2epsilon_0A(k-1))/(lgd)`

D

`m/s - (E^2epsilon_0A(k-1))/(lgd)`.

Text Solution

Verified by Experts

The correct Answer is:
A
For equilibrium, we have
`T=Mg`
And `T=F+sin30^(@)`
or `Mg=F+(Mg)/(2)`
or `m=(m)/(2)+(F)/(g)=(m)/(2)+(E^(2)epsilonA(K-1))/(2lgd)`
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