A hollow cylinder has a charge q coulomb with | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to Gauss's Law,the total electric flux through the closed surface of the cylinder is $\phi_{	ext{Total}} = \frac{q}{\epsilon_0}$.The to

Vedclass · Accepted Answer

$\frac{1}{2} \left( \frac{q}{\epsilon_0} - \phi \right)$

Vedclass · Answer

(A) According to Gauss's Law,the total electric flux through the closed surface of the cylinder is $\phi_{	ext{Total}} = \frac{q}{\epsilon_0}$.The total flux is the sum of the flux through the two plane surfaces ($A$ and $C$) and the curved surface $(B)$: $\phi_{	ext{Total}} = \phi_A + \phi_C + \phi_B = \frac{q}{\epsilon_0}$.Given that the charge is inside the cylinder,by symmetry,the flux through the two plane ends $A$ and $C$ must be equal,so let $\phi_A = \phi_C = \phi'$.We are given that the flux through the curved surface $B$ is $\phi_B = \phi$.Substituting these into the equation: $2\phi' + \phi = \frac{q}{\epsilon_0}$.Solving for $\phi'$: $2\phi' = \frac{q}{\epsilon_0} - \phi$,which gives $\phi' = \frac{1}{2} \left( \frac{q}{\epsilon_0} - \phi ight)$.

$A$ hollow cylinder has a charge $q$ coulomb within it. If $\phi$ is the electric flux in units of volt-meter associated with the curved surface $B$,the flux linked with the plane surface $A$ in units of volt-meter will be:

Similar Questions

Is electric flux a scalar or a vector quantity?

Identify the $WRONG$ statement in the case of electric field lines.

$A$ point charge of $2.0 \; \mu C$ is at the centre of a cubic Gaussian surface $9.0 \; cm$ on edge. What is the net electric flux through the surface?

$A$ charge $q$ is placed inside a hollow cylinder. The electric flux associated with the curved surface $B$ is $\phi$. The flux associated with a plane surface (either $A$ or $C$) will be:

$A$ 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 $R/4$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module