Capacitors And Capacitance

To solve the problem, we need to determine the electric potential at a point inside a hollow conducting sphere.

1. Key Concept:
For a hollow conducting sphere, the electric potential inside the sphere is constant and equal to the potential at the surface. That means:

for any point inside the sphere, irrespective of the distance from the center.

2. Given:
- Radius of the sphere =
- Potential at the surface =
- Required: Potential at a point at distance from the center (which is inside the sphere)

3. Apply the Concept:
Since the point lies inside the conducting sphere, the electric potential remains the same:

Final Answer:
The electric potential at the point is V.

Step 1: Using the Charge Formula
The charge on a capacitor is given by the formula: Substituting the given values: Step 2: Calculating Charge
Step 3: Calculating Percentage Uncertainty
The percentage uncertainties in and are: Since , the total percentage uncertainty is: Step 4: Conclusion
Thus, the charge on the capacitor is: