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Question -

A charge of 8 mC is located at the origin.Calculate the work done in taking a small charge of −2 × 10−9 Cfrom a point P (0, 0, 3 cm) to a point Q (0, 4 cm, 0), via a point R (0, 6 cm,9 cm).



Answer -

Charge located at the origin, q =8 mC= 8 × 10−3 C

Magnitude of a small charge, which is takenfrom a point P to point R to point Q, q1 = − 2 × 10−9 C

All the points are represented in the given figure.

Point P is at a distance, d1 =3 cm, from the origin along z-axis.

Point Q is at a distance, d2 =4 cm, from the origin along y-axis.

Potential at point P, 

Potential at point Q,

Work done (W) by the electrostaticforce is independent of the path.

Therefore, work done during the process is1.27 J.

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