A small uncharged sphere is positioned exactly in the midpoint between two charges whose absolute values are the same but whose signs are opposite. Suppose the sphere is shifted sornewhat. Will it remain in the new position or will it move in some direction?

A small uncharged metallic sphere is positioned exactly at a point midway between two equal and opposite point charges. If the sphere is slightly displaced towards the positive charge and released, then

Force between two identical spheres charged with same charge is F. If 50% charge of one sphere is transferred to the other sphere then the new force will be :-

An uncharged metal sphere is placed between two equal and oppositely charged metal plates. The nature of lines of force will be

A sphere of mass M and radius R is held on the inner wall of a hollow sphere of mass 4M and radius 6R .The bigger sphere is kept on a smooth horizontal table and the centres of the two spheres lie on horizontal line.The system of two spheres is released from this position. The smaller sphere slides on the inner smooth wall to reach the other extreme position (shown in dotted line).The displacement of the centre of the larger sphere as the smaller sphere moves from one extreme to another is xcm. Value of x is: ( Take R=4.5cm) qquad y qquad yR Delta M

A. small uncharged metal sphere is suspended hy a long nonconducting string in the region between the vertically positioned plates of a parallel-plate capacitor, closer to one plate than to the other. How will the sphere behave?

In two cases, two identical conducting sphere are given equal charges, in one case of the same type whereas in another case of opposite type. The distance between the spheres is not large comparing with the diameter. Let F_(1) and F_(2) be the magnitudes of the force of interaction between the spheres, as shown, then

Two point charges Q_(1) and Q_(2) are positioned at points I and 2. The field intensity to the right of the charge Q_(2) on the line that passes through the two charges varies according to a law that is represented in the figure. The field intensity is assumed to be positive if its direction coincides with the positive direction on the x-axis. The distance between the charges is l. (a) Find the sign of each charge (b) Find the ratio of the absolute values of the charges |(Q_(1))/(Q_(2))| (c) Find the value of b where the field intensity is maximum [(a) Q_(2) is negative and Q_(1) is positive (b) ((l +a)/(a))^(2) , (c) (l)/(((l+a)/(a))^(2//3)-1)]