A metallic plate having shap of a square is suspended as shown in figure. The plate is made to dip iin water such that level of water is well above that of the plate. The point x is then slowly raised at constant velocity sketch the variation T in string with the displacement S of point x.

A parallel plate capacitor is connected with a resistance R and a cell of emf e as shown in figure. The capacitor is fully charged. Keeping the right plate fixed, the left plate is moved slowly towards further left with a variable velocity v such that the current flowing through the circuit is constant. Then the variation of magnitude of v with separation x between the plates is represented by curve

A parallel plate capacitor is made by fixing two plates inside of a container as shown in figure. The plates are connected to a battery of voltage V . If at t=0 the tap is opened from which a liquid of dielectric constant k starts filling in the container at a constant rate of rm^(3)//s , find the current in connecting wires as a function of time. Neglect any resistance in connecting wires.

A large metallic plate is facing a charged sheet having charge density sigma placed parallel to plate at a distance l from the plate.Potential at point P at a distance x from the sheet is

A U shaped container has uniform cross sectional area S. It is suspended vertically with the help of a spring and two strings A and B as shown in the figure. The spring and strings are light. When water (density = d ) is poured slowly into the container it was observed that the level of water remained unchanged with respect to the ground. Find the force constant of the spring.

An electron (charge = e, mass = m) is projected horizontally into a uniform electric field produced between two oppositely charged parallel plates, as shown in figure. The charge density on both plates is +- sigma C//m^2 and separation between them is d. You have to assume that only electric force acts on the electron and there is no field outside the plates. Initial velocity of the electron is u, parallel to the plates along the line bisecting the gap between the plates. Length of plates is 2L and there is a screen perpendicular to them at a distance L. (i) Find s if the electron hits the screen at a point that is at same height as the upper plate. (ii) Final the angle q that the velocity of the electron makes with the screen while it strikes it.

Two large conducting plates X and Y. each having large surface area A (on one side), are placed parallel to each other as shown in figure (30-E7). The plate X is given a charge Q whereas the other is neutral. Find (a) the surface charge density at the inner surface of the plates X, (b) the electric field at a point to the left of the plates, (c) the electric field at a point in between the plates and (d) the electric field at a point to the right of the plates.

Two conducting plates X and Y, having large surface area A (on one side), are placed parallel to each other as shown in figure. The plate X is given a charge Q whereas the other is neutral. Find : (a) The surface charge density at the inner surface of the plate X, (b) The electric field at a point to the left of the plates, (c) The electric field at a point in between the plates and (d) The electric field at a point to the right of the plates.