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

Consider the situation shown in figure. The plates of the capacitor have plate area A and are clamped in the laboratory, the dielectric slab is released from rest with a length a inside the capacitor. Neglecting any effect of friction or gravity . Show that the slab will execute periodic motion and find its time period.

Five plates are arranged as shown in the figure and connected across a battery of emf V. The separation between each plate is d and surface area of each plate is A.

Figure shows a parallel-plate capacitor with plates of width b and length l. The separation between the plates is d. The plates are rigidly clamped and connected to a battery of emf V. A dielectric slab of thickness d and dielectric constant K is slowly inserted between the plates. Calculate the energy of the system when a length x of the slab is introduced into the capacitor.

Shown a parallel plate capacitor with plates of width b and length l . The separation between the platesis d. The plates are rigidly clamped and connected to a battery of emf V. A dielectric slab of thickness d and dielectric constant K is slowly inserted between the plates. (a) Calculate the energy of the system when a length x of the slab is introduced into the capacitor. (b) what force should be applied on the slab to ensure that is goes slowly into the capacitor? Neglect any effect of friction or gravity.

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.

Consider the situation shown in figure. Both the pulleys and the strings are light and all the surfaces are frictionless. Calculate (a) the acceleration of mass M, (b) tension in the string PQ and (c ) force exerted by the pulley P.

Three equal resistances, each of ROmega are connected as shown in figure. A battery of emf 2 V and internal resistance 0.1Omega is connected across the circuit. Calculate the value of R for which the heat generated in the circuit is maximum?

Figure shows two parallel plate capacitors with fixed plates and connected to two batteriers. The separation between the plates is the same for the two capacitors. The plates are rectangular in shape with width b and lengths l_1 and l_2 . The left half of the dielectric slab has a dielectric constant K_1 and the right half K_2 Neglecting any friction, find the ratio of the emf of the left battery to that of the right battary for which the dielectric slab may remain in equilibrium

On a parallel plate capacitor following operations can be performed . P - connect the capacitor to a battery of emf V Q - disconnect the battery R - reconnect the battery with polarity reversed S - insert a dielectric slab in the capacitor

A parallel plate capacitor has two layers of dielectrics as shown in figure. This capacitor is connected across a battery, then the ratio of potential difference across the dielectric layers is