$A$ and $C$ are concentric conducting spherical shells of radii $a$ and $c$ respectively. $A$ is surrounded by a concentric dielectric layer of inner radius $a$,outer radius $b$,and dielectric constant $k$. If sphere $A$ is given a charge $Q$,the potential at the outer surface of the dielectric (at radius $b$) is:

  • A
    $\frac{Q}{{4\pi {\varepsilon _0}kb}}$
  • B
    $\frac{Q}{{4\pi {\varepsilon _0}}}\left( {\frac{1}{a} + \frac{1}{{k\left( {b - a} \right)}}} \right)$
  • C
    $\frac{Q}{{4\pi {\varepsilon _0}b}}$
  • D
    None of these

Explore More

Similar Questions

What is the output $Y$ in the following circuit,when all the three inputs $A, B, C$ are first $0$ then $1$?

Let $I$ be the moment of inertia of a uniform square plate about an axis $AB$ that passes through its centre and is parallel to two of its sides. $CD$ is a line in the plane of the plate that passes through the centre of the plate and makes an angle $\theta$ with $AB$. The moment of inertia of the plate about the axis $CD$ is then equal to

One mole of an ideal gas having initial volume $V$,pressure $2P$ and temperature $T$ undergoes a cyclic process $ABCDA$ as shown in the figure. The net work done in the complete cycle is:

The transformed equation of $x^2+6xy+8y^2=10$ when the axes are rotated through an angle $\frac{\pi}{4}$ is:

$A$ vessel is filled with an ideal gas at a pressure of $10 \ atm$ and temperature $27^\circ C$. Half of the mass of the gas is removed from the vessel and the temperature of the remaining gas is increased to $87^\circ C$. Then the pressure of the gas in the vessel will be ...... $atm$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo