Two infinitely large sheets having charge densities `sigma_(1) and sigma_(2)` respectively `(sigma_(1) gt sigma_(2))` are placed inbetween two plates such that there is no effect on charge distribution on plates. This charge is moved at an angle of `45^(@)` with horizontal towards plate having charge density `sigma_(2)`, through a distance a lt d. Find work done by electric force.

Explanation

To solve the problem, we need to find the work done by the electric force when a charge \( q \) is moved at an angle of \( 45^\circ \) towards a plate with charge density \( \sigma_2 \). Let's break this down step by step.

### Step 1: Understand the Electric Field
The electric field \( E \) between two infinite sheets with charge densities \( \sigma_1 \) and \( \sigma_2 \) is given by:
\[ E = \frac{\sigma_1 - \sigma_2}{2 \epsilon_0} \]
where \( \sigma_1 > \sigma_2 \) and \( \epsilon_0 \) is the permittivity of free space.
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