EXERCISE 1.5

Charge$q$ is placed at the center of a cube of side $l$. Find electric flux through each of six faces.

A charge $q$ is placed at the centre of face of a regular cube of side $\ell$. Find the electric flux passing through the cube.

A charge$q$ is placed at a point exactly above the centre of square (of side $a$) at a distance $\frac{a}{2}$. The flux passing through square will be

The electric field due to an infinitely long, straight line of charge with uniform charge density $\lambda$ points straight away from the line and has magnitude $E=\lambda /\left(2\mathrm{\pi }{\epsilon }_{0}r\right)$, where$r$ is the distance from the wire. Calculate the flux of this electric field through a right cylinder of height $h$ and radius $R$, co-axial with the charged line. Repeat the calculation for a cylinder of radius $2 R$.

A charge $q$ is placed at the corner of a regular cube of side $I$. Find the electric flux passing through the cube.

A charge $q$ is placed at the corner of a regular cube of side $I$. Find the electric flux passing through each of the adjacent face.