Two hollow concentric non-conducting spheres of radius the a and `b (a gt b)` contain charges `Q_(a)` and `Q_(b)` respectively. Prove that potential difference between the two spheres is independent of charge on outer sphere. If outer sphere is given an extra charge, is there any change in potential difference ?

Explanation

To solve the problem, we need to analyze the potential difference between two hollow concentric non-conducting spheres with radii \( a \) (outer sphere) and \( b \) (inner sphere), having charges \( Q_a \) and \( Q_b \) respectively. Here’s a step-by-step solution:

### Step 1: Understand the Configuration
We have two concentric non-conducting spheres:
- Sphere A (outer sphere) with radius \( a \) and charge \( Q_a \)
- Sphere B (inner sphere) with radius \( b \) and charge \( Q_b \)

### Step 2: Calculate the Potential at the Surface of Sphere B
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