A cylindrical capacitor has two co-axial cylinders of length 15 cm and radial 1.5 and 1.4 cm.The outer cylinder is earthed and inner cylinder is given a charge of `3.5 muC`. Determine the capacitance of the system and the potential of the inner cylinder. Neglect end effects (i.e., bending of field lines at the ends.)

Explanation

To solve the problem of finding the capacitance of a cylindrical capacitor and the potential of the inner cylinder, we will follow these steps:

### Step 1: Identify the given values
- Length of the cylinders, \( l = 15 \, \text{cm} = 15 \times 10^{-2} \, \text{m} \)
- Radius of the inner cylinder, \( r_a = 1.4 \, \text{cm} = 1.4 \times 10^{-2} \, \text{m} \)
- Radius of the outer cylinder, \( r_b = 1.5 \, \text{cm} = 1.5 \times 10^{-2} \, \text{m} \)
- Charge on the inner cylinder, \( Q = 3.5 \, \mu\text{C} = 3.5 \times 10^{-6} \, \text{C} \)

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