Two charges `q_(1) and q_(2)` are placed at (0,0,d) and (0,0,-d) respectively. Find locus of points where the potential is zero.

The positions of two point charges q_(1) and q_(2) are vecr_(1) and vecr_(2) , respectively. Find the position of the point where the net field is zero due to thses charges.

Two point charges q and -2q are kept on x-axis at ( -a,0,0) and ( 2a,0,0) . Find the locus of all points wher electric potential is zero. Assume that electric potential at infinite distance from a point charge is zero.

Two point charges of magnitude +q and -q are placed at (-d//2,0,0) and (d//2,0,0) are respectively. Find the equation of the euipotential surface where the potential is zero.

Two electric charges q_(1) = q and q_(2) = -2q are placed at a distance l = 6a apart. Find the locus of points in the plane of the charges where the field potential is zero

Two point charges -q and +q are located at points (0,0-a) and (0,0,a) respectively. The electric potential at point (0,0,z) is (Z gt a)

Three point charge q_1=1muC, q_2=-2muC and q_3=3muC are placed at (1m, 0,0), (0,2m,0) and (0,0,3m) respectively. Find the electric potential at as origin.

Two point charges +q and -q are held fixed at (-a,0) and (a,0) respectively of a x-y coordinate system then

In the figure, two point charges +q and -q are placed on the x-axis at (+a,0) and (-a,0) respectively. A tiny dipole of dipolem moment (p) is kept at the origin along the y-axis. The torque on the dipole equals

Two identical charge of value Q each are placed at (-a,0) and (a , 0) . The end coordinates of the point where the net electric field is zero and maximum are respectively-

Two point charges q and - q are located at points (0 , 0 , - a ) and (0 , 0 , a) respectively : (a) Find the electrostatic potential at (0 , 0 , z) and ( x, y , 0). (b) How much work is done in moving a small test charge from the point (5 , 0 , 0 , ) to (-7 , 0 , 0 ) along the x - axis ? (c) How would your answer change if the path of the test charge between the same points is not along the x axis but along any other random path ? (d) If the above point charges are now placed in the same position in a uniform external electric field vecE , what would be the potential energy of the charge system in its orientation of unstable equilibrium ? Justify your answer in each case .