(B) The charge per unit length of the wire is given as $Q\, C/cm$.The length of the cylindrical surface is $L = 1\, m = 100\, cm$.The total charge enc

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(B) The charge per unit length of the wire is given as $Q\, C/cm$.The length of the cylindrical surface is $L = 1\, m = 100\, cm$.The total charge enclosed by the cylindrical surface is $Q_{enc} = (\text{charge per unit length}) \times (\text{length of the cylinder}) = Q \times 100 = 100Q\, C$.According to Gauss's law,the total electric flux $\phi$ passing through a closed surface is given by $\phi = \frac{Q_{enc}}{\varepsilon_0}$.Substituting the value of $Q_{enc}$,we get $\phi = \frac{100Q}{\varepsilon_0}$.

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

Medium

Electric charge is uniformly distributed along a long straight wire of radius $1\, mm$. The charge per $cm$ length of the wire is $Q$ $coulomb$. Another cylindrical surface of radius $50\, cm$ and length $1\, m$ symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is

A
$\frac{Q}{\varepsilon_0}$
B
$\frac{100Q}{\varepsilon_0}$
C
$\frac{10Q}{\pi \varepsilon_0}$
D
$\frac{100Q}{\pi \varepsilon_0}$

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Class 12 Questions

Class 12

Physics Questions

Chapter

Electric Charges and Fields

Subtopic

Electric Field Lines, Electric Flux and Gauss's Law

The figures $(1)$ and $(2)$ below represent lines of force. Which statement is correct?

Easy

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Electric field in a region is given by $\overrightarrow{E} = a \hat{i} + b \hat{j}$,where $a$ and $b$ are constants. The net flux passing through a square area of side $l$ parallel to the $y-z$ plane is

EasyAP EAMCET 2017

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An electric field,$\overrightarrow{E} = \frac{2 \hat{i} + 6 \hat{j} + 8 \hat{k}}{\sqrt{6}} \ V/m$,passes through a surface of $4 \ m^2$ area having a unit normal vector $\hat{n} = \left( \frac{2 \hat{i} + \hat{j} + \hat{k}}{\sqrt{6}} \right)$. The electric flux through that surface is:

DifficultJEE MAIN 2024

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If the number of electric lines of force emerging out of a closed surface is $1000$,then the charge enclosed by the surface is .......... $C$.

Easy

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$A$ charge $q$ is placed at the center of one of the faces of a cube. What is the electric flux linked with the cube?

DifficultJEE MAIN 2024

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The figures $(1)$ and $(2)$ below represent lines of force. Which statement is correct?

Electric field in a region is given by $\overrightarrow{E} = a \hat{i} + b \hat{j}$,where $a$ and $b$ are constants. The net flux passing through a square area of side $l$ parallel to the $y-z$ plane is

An electric field,$\overrightarrow{E} = \frac{2 \hat{i} + 6 \hat{j} + 8 \hat{k}}{\sqrt{6}} \ V/m$,passes through a surface of $4 \ m^2$ area having a unit normal vector $\hat{n} = \left( \frac{2 \hat{i} + \hat{j} + \hat{k}}{\sqrt{6}} \right)$. The electric flux through that surface is:

If the number of electric lines of force emerging out of a closed surface is $1000$,then the charge enclosed by the surface is .......... $C$.

$A$ charge $q$ is placed at the center of one of the faces of a cube. What is the electric flux linked with the cube?

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