A cjircular wire-loop of radius a carries a total charge Q distributed uniformly over its length . A small length dL of the wire is cut off. Find the electric field at the centre due to remaining wire.

Explanation

To find the electric field at the center of a circular wire-loop of radius \( a \) after a small length \( dL \) of the wire is cut off, we can follow these steps:

### Step 1: Determine the charge per unit length
The total charge \( Q \) is uniformly distributed over the circumference of the circular wire-loop. The circumference of the loop is given by:

\[ C = 2\pi a \]
...