The total electric flux through a closed spherical surface of radius \( r \) enclosing an electric dipole of dipole moment \( 2aq \) is (Give \( \epsilon_0 \) = permittivity of free space)
- Zero
- \( \frac{q}{\epsilon_0} \)
- \( \frac{2q}{\epsilon_0} \)
- \( \frac{8\pi r^2 q}{\epsilon_0} \)
The Correct Option is A
Solution and Explanation
The electric flux \( \Phi_E \) through a closed surface surrounding an electric dipole is given by Gauss’s Law:
\( \Phi_E = \frac{Q_{\text{enc}}}{\epsilon_0} \) where \( Q_{\text{enc}} \) is the net charge enclosed by the surface and \( \epsilon_0 \) is the permittivity of free space.
Since an electric dipole consists of two equal and opposite charges, the total charge enclosed by the surface is zero.
Therefore, the total electric flux through the surface is also zero:\( \Phi_E = 0 \)
Top KCET Physics Questions
- The magnetic Lorentz force experienced by a charge q, entering a magnetic field B with a velocity v is
- ABCD is a square loop made of an uniform conducting wire. The current enters the loop at A and leaves at D. The magnetic field is
- A milliammeter of range 10 mA has a coil of resistance $1\Omega$. To use it as a voltmeter of range 10 V, the resistance that must be connected in series with it is
- The magnetic fields at two points on the axis of a circular coil at distance of 0.05 m and 0.2 m from the centre are in the ratio 8 :1 . The radius of the coil is
- The relative permeability is represented by $\mu_r$ and the susceptibility by $\varkappa$ for a magnetic substance. Then for a paramagnetic substance
Top KCET Electric Flux Questions
- A uniform electric field \( E = 3 \times 10^3 \, \text{N/C} \) is acting along the positive Y-axis. The electric flux through a rectangle of area \( 10 \, \text{m} \times 30 \, \text{m} \), where the plane of the rectangle is parallel to the Z-X plane is
- The angle between the particle velocity and wave velocity in a transverse wave is (except when the particle passes through the mean position)
A metallic sphere of radius \( R \) carrying a charge \( q \) is kept at a certain distance from another metallic sphere of radius \( R_4 \) carrying a charge \( Q \). What is the electric flux at any point inside the metallic sphere of radius \( R \) due to the sphere of radius \( R_4 \)?
Top KCET Questions
- Which of the following is not true for oxidation?
- If $a, b$ and $c \in N$ which one of the following is not true ?
- When $50\, cm ^{3}$ of $0.2\, N$ $H_{2} SO _{4}$ is mixed with $50 cm ^{3}$ of $1 N\, KOH$, the heat liberated is :
- If $a | (b + c)$ and $a| (b-c)$ where $a,b,c \in \, N $ then
- Which of the following is NOT a pair of functional isomers?