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Assertion: Electric potential of a body ...

Assertion: Electric potential of a body with net positive charge may be negative.
Reason: Electric potential of a body does not depend on the shape of the object.

A

If both assertion and reason are correct and reason is a correct explanation of the assertion.

B

If both assertion and reason are correct but reason is not the correct explanation of assertion.

C

If assertion is correct but reason is incorrect.

D

If assertion is incorrect but reason is correct.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given assertions and reason, we will break it down into steps: ### Step 1: Understanding the Assertion The assertion states that the electric potential of a body with a net positive charge may be negative. This is indeed possible, as electric potential is a scalar quantity that can take on negative values depending on the surrounding electric fields and charge distributions. ### Step 2: Example to Illustrate the Assertion Consider two concentric spheres: - Inner sphere with radius \( r \) and charge \( +q \). - Outer sphere with radius \( 2r \) and charge \( -4q \). ### Step 3: Calculate the Electric Potential To find the total electric potential at the surface of the inner sphere, we need to consider the contributions from both spheres: - The potential due to the inner sphere itself at its surface is given by: \[ V_{\text{inner}} = k \frac{q}{r} \] - The potential due to the outer sphere at the surface of the inner sphere is: \[ V_{\text{outer}} = k \frac{-4q}{2r} = -2k \frac{q}{r} \] ### Step 4: Total Electric Potential Now, we can find the total potential \( V_{\text{total}} \) at the surface of the inner sphere: \[ V_{\text{total}} = V_{\text{inner}} + V_{\text{outer}} = k \frac{q}{r} - 2k \frac{q}{r} = -k \frac{q}{r} \] This shows that the total potential is negative even though the inner sphere has a net positive charge. ### Step 5: Understanding the Reason The reason states that the electric potential of a body does not depend on the shape of the object. This statement is incorrect. The electric potential does depend on the charge distribution, which is influenced by the shape of the object. ### Conclusion - The assertion is correct: Electric potential of a body with net positive charge may be negative. - The reason is incorrect: Electric potential does depend on the shape of the object. Thus, the correct answer is that the assertion is true, but the reason is false. ---
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