List of top Physics Questions on Electric Flux Density asked in JEE Main

Given $ \lambda = 2 \, \text{nC/m} $ (linear charge density) for a wire passing through the body diagonal of a closed cube with side length $ \sqrt{3} \, \text{cm} $, find the flux through the cube.
An electric field is given by \( (6\hat{i} + 5\hat{j} + 3\hat{k}) \, \text{N/C} \). The electric flux through a surface area \( 30\hat{i} \, \text{m}^2 \) lying in the YZ-plane (in SI units) is:
An electric field, \(\vec{E} = \frac{2\hat{i} + 6\hat{j} + 8\hat{k}}{\sqrt{6}}\) passes through the surface of \(4 \, \text{m}^2\) area having unit vector \(\hat{n} = \frac{2\hat{i} + \hat{j} + \hat{k}}{\sqrt{6}}\). The electric flux for that surface is _________ \( \text{V m} \).