A point charge q is placed at a distance a/2 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Consider the square of side $a$ as one face of a cube of side $a$. Since the charge $q$ is placed at a distance $a/2$ from the center of the squar

Vedclass · Accepted Answer

$\frac{q}{6 \epsilon_0}$

Vedclass · Answer

(D) Consider the square of side $a$ as one face of a cube of side $a$. Since the charge $q$ is placed at a distance $a/2$ from the center of the square,it is located at the geometric center of this imaginary cube. According to Gauss's Law,the total electric flux $\Phi_{	ext{total}}$ through the closed surface of the cube is given by $\Phi_{	ext{total}} = \frac{q}{\epsilon_0}$. Since the cube has $6$ identical faces and the charge is placed symmetrically at the center,the flux through each face is equal. Therefore,the electric flux $\Phi$ through the square face is $\Phi = \frac{\Phi_{	ext{total}}}{6} = \frac{q}{6 \epsilon_0}$.

$A$ point charge $q$ is placed at a distance $a/2$ directly above the center of a square of side $a$. The electric flux through the square is:

Similar Questions

The electric field in a region is uniform and is given by $\vec{E} = a \hat{i} + b \hat{j} + c \hat{k}$. The electric flux associated with a surface of area $\vec{A} = \pi R^2 \hat{i}$ is:

If an electric field is given by $\vec{E} = 10 \hat{i} + 3 \hat{j} + 4 \hat{k}$,calculate the electric flux through a surface of area $A = 10 \text{ units}$ lying in the $yz$-plane.

Explain the electric field lines and the magnitude of the electric field.

$C_1$ and $C_2$ are two hollow concentric cubes enclosing charges $2Q$ and $3Q$ respectively as shown in the figure. The ratio of electric flux passing through $C_1$ and $C_2$ is:

$A$ cylinder of radius $R$ and length $L$ is placed in a uniform electric field $E$ parallel to the cylinder axis. The total flux for the surface of the cylinder is given by-

Vedclass Test Series

Exam Paper Generator

Online Exam Module