1.

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 themis 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.

Answer»

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

Solution :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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