Question

when a particle of charge 10UC is brought from infinity to a point P,2.0MJ of work is done by external forces. what is the potential at P?

Answer 1

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Answer:
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Answer 2

Given,

Charge of a particle = 10 UC = 10 micro coulombs

Work done in bringing the charge from infinity to a point P = 2 mJ

To find,

The potential of the particle at point P.

Solution,

We can simply solve this numerical problem by using the following process:

Mathematically,

Work done in bringing a charge from infinity to a point P = Charge of the particle x potential of the particle at point P

=> potential of the particle at point P = (Work done in bringing a charge from infinity to a point P) / (Charge of the particle)

Now,

The potential of the particle at point P

= (Work done in bringing a charge from infinity to a point P) / (Charge of the particle)

= 10 UC / 2 mJ

= (2 x 10^-3 J)/(10 x 10^-6 C)

= 200 Volts = 200 V

Hence, the potential of the particle at point P is equal to 200 V.