Question 596: Electrostatics & Capacitance

Question

An electric field $$\vec{E}=(2 x \hat{i}) N C^{-1}$$ exists in space. A cube of side $$2 \mathrm{~m}$$ is placed in the space as per figure given below. The electric flux through the cube is ______ $$\mathrm{Nm}^2 / \mathrm{C}$$.

Accepted Answer

Flux will only be due to surfaces having area vector parallel to $$x$$ - axis
$$\begin{aligned}
	herefore \quad & \phi_{	ext {net }}=A[8-4] \
& =4 A=4 	imes 4=16
\end{aligned}$$

Electrostatics & Capacitance

An electric field $\vec{E}=(2 x \hat{i}) N C^{-1} exists in space. A cube of side 2 \mathrm{~m} is placed in the space as per figure given below. The electric flux through the cube is ______ \mathrm{Nm}^2 / \mathrm{C}$.

Integer / Numeric Answer Type