Two positive charges `q_(1)` and `q_(2)` are located at the points with redius vectors `r_(1)` and `r_(2)`. Find a negative charge `q_(s)` and a radius vector `r_(s)` of the point at which it has to be placed for the force acting on each of the three charges to be equal to zero.

Two positive charges q_(1) and q_(2) are located at the points with redius vectors r_(1) and r_(2) . Find a negative charge q_(3) and a radius vector r_(3) of the point at which it has to be placed for the force acting on each of the three charges to be equal to zero.

Two metallic s pheres of radii R_(1) and R_(2) are connected b y a thin wire. If +q_(1)~ and +q_(2) are the charges on the two s pheres then

A positive point charge q_(1) is placed at (a,0) and another positive point charge q_(2) is placed at (0,a) . Find the force acting on q_(1) .

Two conducting spheres of radii r_(1) and r_(2) having charges Q_(1) and Q_(2) respectively are connected to each other. There is

Four positive charges (2sqrt2-1)Q are arranged at the four corners of a square. Another charge q is placed at the center of the square. Resulting force acting on each corner charge is zero if q is

A positive charge +q_(1) is located to the left of a negative charge -q_(2) On a line passing through the two charges, there are two places where the total potential is zero. The reference is assumed to be at infinity The first place is between the charges and is 4.00 cm to the left of the negative charge. The second place is 7.00cm to the right of the negative charge if q_(2)=-12muC , what is the value of charge q_(1) in muC

Two charge Q_(1) and Q_(2) are placed at the points A and B having separation r lying inside and outside the unchanged conducting shell. The force on Q_(1) is F and that on Q_(2) is f .Then

Two point charges Q and q are placed at distance r and r/2 respectively alogn a straigt line from a third charge 4q. If q is in equilibrium determine Q/q .