Embibe Experts Solutions for Chapter: Electrostatics, Exercise 4: BEGINNER'S BOX - 4

A charge $Q$ is uniformly distributed over a large plastic (non-conducting) sheet. The electric field at a point close to the centre of the plate near the surface is $20 \mathrm{V} {\mathrm{m}}^{-1}$. If the plate is replaced by a copper plate of the same geometrical dimensions and carrying the same charge $Q$, then what is the electric field at that point?

What is the net flux of a uniform electric field $\overrightarrow{E}=3\times 10\hat{i} \mathrm{N} {\mathrm{C}}^{-1}$ through a cube of side $20 \mathrm{cm}$ oriented such that its faces are parallel to the coordinate planes?

Charges $Q_1$ and $Q_2$ lie inside and outside a closed surface $S$ respectively. Let $E$ be the field at any point on $S$ and $\varphi$ be the flux of $E$ over $S$. Which statement is wrong?

A charge $q$ is placed at the centre of a cube whose top face is open (it has only $5$ faces). Calculate the total electric flux passing through the cube.

A point charge of $2.0\mu \mathrm{C}$ is at the centre of cubic Gaussian surface $9.0 \mathrm{cm}$ on edge. Calculate the net electric flux through the surface,

An electric flux of $-6\times {10}^{-3} \mathrm{N} {\mathrm{m}}^2 {\mathrm{C}}^{-1}$ passes normally through a spherical Gaussian surface of radius $10 \mathrm{cm}$, due to a point charge placed at its centre.

What is the charge enclosed by the Gaussian surface?

An electric flux of $6\times {10}^3 {\mathrm{Nm}}^2{\mathrm{C}}^{-1}$ passes through a spherical Gaussian surface of radius $10 \mathrm{cm}$ due to the charge placed at its centre.

If the radius of the Gaussian surface is doubled how much flux would pass through the surface?

A Gaussian surface encloses two of the four positively charged particles as shown in the figure. Which of the particles contribute to the electric field at a point $P$ on the surface?