Physics Electrostatics Potential & Capacitance JEE Main 2025 - ( Electrostatics ) MCQ (Single Correct)

Two charges q 1 and q 2 are separated by a distance of 30 cm. A third charge q 3 initially at ' C ' as shown in the figure, is moved along the circular path of radius 40 cm from C to D. If the difference in potential energy due to movement of q 3 from C to D is given by , the value of K is:

A
B

C
D

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Verified by Experts
The correct answer is:
D

To determine the value of K for the given electrical potential scenario, we start by calculating the potential at points C and D.

Potential at Point C:

The potential at point , is given by the sum of the potentials due to charges q 1 and q 2 :

Potential at Point D:

Similarly, the potential at point , is:

Change in Potential Energy:
The change in potential energy when q 3 moves from C to D is:

Substituting the expressions for V D and V C , we get:

Simplifying the Expression: By simplifying the expression, we find:

Thus, the value of K is .

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