Potential Due to System of Charges

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Potential Due to System of Charges

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Important Questions

Two charges and are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.

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Four electric charges and are placed at the corners of a square of side (see figure). The electric potential at point A, midway between the two charges and , is

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A cube of side b has a charge q at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.

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Two charges -q and +q are located at points (0, 0, -a) and (0, 0, a), respectively. 
(a) What is the electrostatic potential at the points (0, 0, z) and (x, y, 0) ?
(b) Obtain the dependence of potential on the distance r of a point from the origin when r/a >> 1
(c) 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? Does the answer change if the path of the test charge between the same points is not along the x-axis?

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Calculate the electric potential at the center of the square :

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A regular hexagon of side 10 cm has a charge at each of its vertices. Calculate the potential at the centre of the hexagon.

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Calculate the work done by electric field when a point charge q is moved from point B to A along the curved path. Given that electric field is created by the stationary charge Q and , length of line segment AB = 10 cm, length of curved path = 20 cm.

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In bringing an electron towards another electron, the electrostatic potential energy of the system :

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identical drops of mercury are charged simultaneously with the same potential of . Assuming the drop to the spherical, if all the charged drops are made to combine to form one large drop, then its potential will be _____ .

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Four point charges -Q,-q,2q and 2Q are placed, one at each corner of the square. The relation between Q and q fo which the potential at the centre of the square is zero, is

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