Three concentric spherical metallic shells `A, B, and C` of radii `a,b, and c(a lt b lt c)` have surface charge densities `sigma, -sigma` and `sigma`, respectively.
If `V_(A), V_(B)` and `V_(C)` are potential of shells A, B and C, respectively, match the columns
`{:("Column A",,,"Column B"),(a. V_(A),,i.,sigma/epsilon_(0)[(a^(2)-b^(2)+c^(2))/c]),(b. V_(B),,ii.,sigma^(2)/epsilon_(0)[a^(2)/b-b+c]),(c. V_(C),,iii.,sigma/epsilon_(0)[a-b+c]):}`

Explanation

To solve the problem, we need to find the electric potentials \( V_A \), \( V_B \), and \( V_C \) for the three concentric spherical shells \( A \), \( B \), and \( C \) with given surface charge densities. Let's go through the steps systematically.

### Step 1: Determine the Charge on Each Shell
1. **Shell A**:
- Surface charge density \( \sigma \)
- Radius \( a \)
- Charge \( Q_A = \sigma \times \text{Area} = \sigma \times 4\pi a^2 \)

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