AP EAMCET · PHYSICS · Work Power Energy

Assertion $(A)$ : The work done by the electrostatic force is zero when a point charge moves in a circular path around another charge. Reason $(R)$ : The dot product of force and displacement vectors gives work done.

A Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B Both Assertion and Reason are true but Reason is NOT the correct explanation of Assertion.
C Assertion is true but Reason is false.
D Assertion is false but Reason is true.

Verified Solution

Answer & Solution

Correct Answer

(A) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.

Step-by-step Solution

Detailed explanation

When the force is acting at right angle to the direction of motion of charge, then the work done is zero. W=Fdcos90° W=0 The electrostatic force is radially inwards when a point charge moves in a circular path around another charge. Therefore, the electrostatic force acts…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Assertion A : The work done by the electrostatic force is zero when a point charge moves in a circular path around another charge. Reason R : The dot product of force and displacement vectors gives work done.

Step-by-step Solution

Assertion $(A)$ : The work done by the electrostatic force is zero when a point charge moves in a circular path around another charge. Reason $(R)$ : The dot product of force and displacement vectors gives work done.