Two concentric shells of radii R and 3R are p | vedclass

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

Question

(A) Let the charge on the inner shell be $q'$. Since the inner shell is grounded,its potential $V$ must be zero.The potential at the surface of the in

Vedclass · Accepted Answer

$\frac{kQ}{12R^2}$

Vedclass · Answer

(A) Let the charge on the inner shell be $q'$. Since the inner shell is grounded,its potential $V$ must be zero.The potential at the surface of the inner shell due to its own charge $q'$ and the charge $Q$ on the outer shell is given by:$V = \frac{kq'}{R} + \frac{kQ}{3R} = 0$Solving for $q'$,we get:$\frac{kq'}{R} = -\frac{kQ}{3R} \implies q' = -\frac{Q}{3}$Now,we need to find the electric field at point $P$ at a distance $r = 2R$ from the center.According to Gauss's Law,the electric field at a point $P$ between the two shells is due only to the charge on the inner shell.$E_p = \frac{k|q'|}{r^2} = \frac{k(Q/3)}{(2R)^2} = \frac{kQ/3}{4R^2} = \frac{kQ}{12R^2}$

Two concentric shells of radii $R$ and $3R$ are placed as shown in the figure. The outer shell carries a charge $Q$. The inner shell is grounded. Find the electric field at point $P$,which is at a distance $2R$ from the center.

Similar Questions

The expression for electric field intensity at a point outside a uniformly charged thin plane sheet is (where $d$ is the distance of the point from the plane sheet):

The electric potential $V(x)$ in a region around the origin is given by $V(x) = 4x^2 \text{ V}$. The electric charge enclosed in a cube of $1 \text{ m}$ side with its centre at the origin is (in coulomb):

What is the electric field intensity at a point at a distance $r$ $(r < R)$ from the center of a charged spherical conductor of radius $R$ carrying a charge $Q$?

As shown in the figure,a ball $B$ is suspended by a string $S$ from a large charged plate $P$ such that it makes an angle $\theta$ with the plate. The surface charge density of the plate is proportional to which of the following?

Let $\rho (r) = \frac{Q}{\pi R^4} r$ be the charge density distribution for a solid sphere of radius $R$ and total charge $Q$. For a point $p$ inside the sphere at distance $r_1$ from the centre of the sphere,the magnitude of the electric field is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module