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Question -

Two charges 5 × 10−8 C and−3 × 10−8 C are located 16 cm apart. At what point(s) on theline joining the two charges is the electric potential zero? Take the potentialat infinity to be zero.



Answer -

There are two charges,

Distance between the two charges, d =16 cm = 0.16 m

Consider a point P on the line joining the two charges,as shown in the given figure.

r =Distance of point P from charge q1

Let the electric potential (V) atpoint P be zero.

Potential at point P is the sum ofpotentials caused by charges q1 and q2 respectively.

Where,

=Permittivity of free space

For V = 0, equation (i)reduces to

Therefore, the potential is zero at a distance of 10 cmfrom the positive charge between the charges.

Suppose point P is outside the system oftwo charges at a distance from the negative charge, wherepotential is zero, as shown in the following figure.

For this arrangement, potential is given by,

For V = 0, equation (ii)reduces to

Therefore, the potential is zero at adistance of 40 cm from the positive charge outside the system of charges.

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