(A) The electric flux $\phi$ is given by the dot product of the electric field $\vec{E}$ and the area vector $\vec{A}$.Since the surface lies in the $

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(A) The electric flux $\phi$ is given by the dot product of the electric field $\vec{E}$ and the area vector $\vec{A}$.Since the surface lies in the $YZ$-plane,its area vector $\vec{A}$ is directed along the $X$-axis.Therefore,$\vec{A} = 2\hat{i} \text{ m}^2$.The electric flux is $\phi = \vec{E} \cdot \vec{A} = (5\hat{i} + 2\hat{j}) \cdot (2\hat{i})$.Using the dot product properties ($\hat{i} \cdot \hat{i} = 1$ and $\hat{i} \cdot \hat{j} = 0$),we get $\phi = 5 \times 2 = 10 \text{ N}\,\text{m}^2/\text{C}$.

Class 12 Physics Electric Charges and Fields Electric Field Lines, Electric Flux and Gauss's Law

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The electric field in a region of space is given by $\vec{E} = (5\hat{i} + 2\hat{j}) \text{ N/C}$. Calculate the electric flux through a surface of area $2 \text{ m}^2$ lying in the $YZ$-plane.

A
$10$
B
$20$
C
$10\sqrt{2}$
D
$2\sqrt{29}$

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Electric Charges and Fields

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Electric Field Lines, Electric Flux and Gauss's Law

The figure shows the electric lines of force emerging from a charged body. If the electric field at $A$ and $B$ are $E_A$ and $E_B$ respectively,and if the distance between $A$ and $B$ is $r$,then:

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$A$ point charge $+Q$ is positioned at the center of the base of a square pyramid as shown. The flux through one of the four identical upper faces of the pyramid is:

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$A$ uniform electric field $E = 3 \times 10^5 \text{ NC}^{-1}$ is acting along the positive $Y$-axis. The electric flux through a rectangle of area $10 \text{ cm} \times 30 \text{ cm}$ whose plane is parallel to the $ZX$-plane is

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If charge $q$ is placed on one of the vertex of a cube, then total electric flux passing through the cube is . . . . . . .

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$A$ 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

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The electric field in a region of space is given by $\vec{E} = (5\hat{i} + 2\hat{j}) \text{ N/C}$. Calculate the electric flux through a surface of area $2 \text{ m}^2$ lying in the $YZ$-plane.

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