A cylinder of radius R and length L is placed | vedclass

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

Question

(D) The cylinder has three surfaces: two circular end faces ($A$ and $B$) and one curved surface $(C)$.For the circular face $A$,the area vector point

Vedclass · Accepted Answer

Zero

Vedclass · Answer

(D) The cylinder has three surfaces: two circular end faces ($A$ and $B$) and one curved surface $(C)$.For the circular face $A$,the area vector points outwards (opposite to the electric field),so the flux is $\phi_A = \vec{E} \cdot \vec{A} = E(\pi R^2) \cos(180^\circ) = -E\pi R^2$.For the circular face $B$,the area vector points outwards (in the direction of the electric field),so the flux is $\phi_B = \vec{E} \cdot \vec{A} = E(\pi R^2) \cos(0^\circ) = +E\pi R^2$.For the curved surface $C$,the area vector at every point is perpendicular to the electric field,so the flux is $\phi_C = \int \vec{E} \cdot d\vec{s} = \int E ds \cos(90^\circ) = 0$.The total flux through the cylinder is $\phi_{total} = \phi_A + \phi_B + \phi_C = -E\pi R^2 + E\pi R^2 + 0 = 0$.

$A$ 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

Similar Questions

Define electric flux.

$A$ hollow cylinder has a charge $q$ inside it. If $\phi$ is the electric flux in units of $\text{V}\cdot\text{m}$ associated with the curved surface $B$, what is the flux linked with the plane surface $A$ in units of $\text{V}\cdot\text{m}$?

$A$ circular plate sheet of radius $10 \,cm$ is placed in a uniform electric field of $2 \sqrt{3} \times 10^5 \,NC^{-1}$, making an angle of $60^{\circ}$ with the field. Find the electric flux through the sheet.

Choose the correct option based on the given electric field lines diagram.

Which of the field patterns given below is valid for an electric field as well as for a magnetic field?

Vedclass Test Series

Exam Paper Generator

Online Exam Module