A solid uncharged conducting sphere has a rad | vedclass

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

Question

(B) $1$. The conducting sphere is uncharged,meaning the net charge on the sphere is $0$.$2$. When a point charge $+Q$ is placed inside the hollow cavi

Vedclass · Accepted Answer

$\frac{kQ}{16a^2}$

Vedclass · Answer

(B) $1$. The conducting sphere is uncharged,meaning the net charge on the sphere is $0$.$2$. When a point charge $+Q$ is placed inside the hollow cavity,an induced charge of $-Q$ appears on the inner surface of the cavity to maintain electrostatic equilibrium.$3$. Since the sphere is uncharged,a charge of $+Q$ must appear on the outer surface of the sphere to ensure the total charge remains $0$.$4$. For any point outside the sphere (like point $P$ at $r = 4a$),the electric field is determined by the total charge enclosed by a Gaussian surface passing through $P$.$5$. The total charge enclosed by a spherical Gaussian surface of radius $4a$ is the sum of the point charge $+Q$ inside the cavity and the induced charge $+Q$ on the outer surface of the conductor.$6$. Total charge $Q_{net} = (+Q) + (-Q) + (+Q) = +Q$.$7$. By Gauss's Law,the electric field at a distance $r = 4a$ from the center is $E = \frac{k Q_{net}}{r^2} = \frac{k Q}{(4a)^2} = \frac{kQ}{16a^2}$.

Similar Questions

Give characteristics of electric field lines.

Flux coming out from a positive charge of $8 \ C$,placed in a medium of dielectric constant $4$ is

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

$A$ 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?

$A$ cube of side $l$ is placed in a uniform electric field $E$,where $E = E\hat{i}$. The net electric flux through the cube is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module