A negatively charged particle revolves in a clockwise direction around a positively charged sphere. The work done on the negatively charged particle by the electric field of the sphere is a) positive. b) negative. c) zero.

Short Answer

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(a) Positive (b) Negative (c) Zero Answer: (c) Zero

Step by step solution

01

Identify the given scenario

We are given a negatively charged particle revolving around a positively charged sphere in a clockwise direction.
02

Identify the force acting on the negatively charged particle

The force acting on the negatively charged particle is due to the electric field created by the positively charged sphere. The direction of this force is from the negatively charged particle towards the positively charged sphere.
03

Determine the displacement of the negatively charged particle

Since the particle is revolving around the sphere and not moving towards or away from the sphere, the displacement of the negatively charged particle is perpendicular to the direction of the electric field.
04

Calculate the work done on the negatively charged particle by the electric field

The work done, W, is given by the dot product of the force (F) exerted on the negatively charged particle and the displacement (d) of the particle: W = F • d. Since the displacement is perpendicular to the force, the dot product is zero.
05

Conclusion

The work done on the negatively charged particle by the electric field of the sphere is zero. Therefore, the correct answer is (c) zero.

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