(C) According to Gauss's Law,the total electric flux $\phi$ through a closed surface is given by $\phi = \frac{q_{en}}{\epsilon_0}$,where $q_{en}$ is

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(C) According to Gauss's Law,the total electric flux $\phi$ through a closed surface is given by $\phi = \frac{q_{en}}{\epsilon_0}$,where $q_{en}$ is the net charge enclosed by the surface.From the figure,the Gaussian surface encloses two charges. Based on the problem description,these are a $+1$ charge and a $-1$ charge.Therefore,the net enclosed charge is $q_{en} = (+1) + (-1) = 0$.Substituting this into Gauss's Law,we get $\phi = \frac{0}{\epsilon_0} = 0$.Thus,the total electric flux through the spherical Gaussian surface is zero.

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

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The figure shows the electric field lines of three charges with charges $+1, +1$,and $-1$. The Gaussian surface in the figure is a sphere containing two of the charges. The total electric flux through the spherical Gaussian surface is

A
Positive
B
Negative
C
Zero
D
Impossible to determine without more information

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Electric Charges and Fields

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Electric Field Lines, Electric Flux and Gauss's Law

An electric dipole is placed in the north-south direction inside a sphere filled with water. Which statement is correct?

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$A$ $6 \mu C$ charge is placed at the centre of a cube. What will be the electric flux through each face of the cube? (Take $\frac{1}{4 \pi \epsilon_0} = 9 \times 10^9 \ Nm^2 C^{-2}$)

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Consider a cube of side length '$a$' centered at the origin. It is enclosed by three fixed point charges: $(-q)$ at $(0, -a/4, 0)$,$(+3q)$ at $(0, 0, 0)$,and $(-q)$ at $(0, a/4, 0)$. Choose the correct option.

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$A$ point charge $+q$ is placed in front of a grounded metal plate. Points $P$ and $Q$ are between the charge $X$ and the plate $Y$ as shown in the figure. Let $E_P$ and $E_Q$ be the magnitudes of the electric fields at points $P$ and $Q$ respectively. Which of the following statements is true?

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$A$ metallic sphere is kept in between two oppositely charged plates. The most appropriate representation of the field lines is

MediumKVPY 2016

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The figure shows the electric field lines of three charges with charges $+1, +1$,and $-1$. The Gaussian surface in the figure is a sphere containing two of the charges. The total electric flux through the spherical Gaussian surface is

Similar Questions

An electric dipole is placed in the north-south direction inside a sphere filled with water. Which statement is correct?

$A$ $6 \mu C$ charge is placed at the centre of a cube. What will be the electric flux through each face of the cube? (Take $\frac{1}{4 \pi \epsilon_0} = 9 \times 10^9 \ Nm^2 C^{-2}$)

Consider a cube of side length '$a$' centered at the origin. It is enclosed by three fixed point charges: $(-q)$ at $(0, -a/4, 0)$,$(+3q)$ at $(0, 0, 0)$,and $(-q)$ at $(0, a/4, 0)$. Choose the correct option.

$A$ point charge $+q$ is placed in front of a grounded metal plate. Points $P$ and $Q$ are between the charge $X$ and the plate $Y$ as shown in the figure. Let $E_P$ and $E_Q$ be the magnitudes of the electric fields at points $P$ and $Q$ respectively. Which of the following statements is true?

$A$ metallic sphere is kept in between two oppositely charged plates. The most appropriate representation of the field lines is

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