Physics Electrostatics Potential & Capacitance Electric Potential and Potential Difference Single Correct MCQ
Published on: September 12, 2026

The electric potential inside a uniformly positively charged non conducting solid sphere has the value which –

A
increase with increases in distance from the center.
B
decreases with increases in distance from the center.
C
is equal at all the points.
D
is zero at all the points.

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Text Solution

Verified by Experts
The correct answer is:
B
Step 1: Consider a uniformly positively charged non-conducting solid sphere. The charge is distributed uniformly throughout the volume of the sphere.
Step 2: To analyze the electric potential inside the sphere, we need to use the concept of electric field and the relation between electric field (E) and electric potential (V). The electric field inside a uniformly charged sphere of radius R at a distance r from the center (where r < R) is given by:
$$ E = \frac{1}{4 \pi \epsilon_0} \cdot \frac{Q}{R^3} \cdot r $$
where Q is the total charge inside the sphere. The potential V at a distance r from the center can be calculated by integrating the electric field:
$$ V(r) = V(R) - \int_{R}^{r} E \, dr $$
Step 3: The potential outside the sphere (for r >= R) is constant and can be considered equal to the potential at the surface. Inside the sphere, as you move from the surface towards the center, the value of V decreases with increasing distance to the center due to the positive charge distribution.
Conclusion: Therefore, the electric potential inside the sphere decreases with increases in distance from the center.
Thus, the correct option is B.

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