A hollow cylinder has charge q C within it. I | vedclass

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

Question

Let electric flux linked with surfaces $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are $\phi_{\mathrm{A}}, \phi_{\mathrm{B}}$ and $\phi_{\mathrm{C}}$ re

Vedclass · Accepted Answer

$\frac{1}{2}\left( {\frac{q}{{{\varepsilon _0}}} - \phi } \right)$

Vedclass · Answer

Let electric flux linked with surfaces $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are $\phi_{\mathrm{A}}, \phi_{\mathrm{B}}$ and $\phi_{\mathrm{C}}$ respectively.

Thus $\phi_{	ext {total }}=\phi_{\mathrm{A}}+\phi_{\mathrm{B}}+\phi_{\mathrm{C}}$

$ \because \phi_{A}=\phi_{C}$

and $\phi_{	ext {total }}=\frac{q}{\epsilon_{0}}(	ext { From Gauss's Law })$

$\frac{\mathrm{q}}{\epsilon_{0}}=2 \phi_{\mathrm{A}}+\phi_{\mathrm{B}} \quad$ But $\phi_{\mathrm{B}}=\phi$ (given)

Hence, $\frac{q}{\epsilon_{0}}=2 \phi_{A}+\phi$

or $\frac{q}{\epsilon_{0}}-\phi=2 \phi_{A}$ or $\phi_{A}=\frac{1}{2}\left(\frac{q}{\epsilon_{0}}-\phiight)$

A hollow cylinder has charge $q$ $C$ within it. If $\phi $ is the electric flux in unit of voltmeter associated with the curved surface $B$, the flux linked with the plane surface $A$ in unit of voltmeter will be

Similar Questions

Find flux related to shaded face $BCGF$

In a particle accelerator, a current of $500 \,\mu A$ is carried by a proton beam in which each proton has a speed of $3 \times 10^7 \,m / s$. The cross-sectional area of the beam is $1.50 \,mm ^2$. The charge density in this beam (in $C / m ^3$ ) is close to

The equivalent capacitance of the system of capacitors between $A$ and $B$ as shown in the figure

Find capacitance across $AB$

Angle between equipotential surface and lines of force is.......$^o$