(B) For a point at a distance $r$ such that $R_1 < r < R_2$,the potential $V$ is the sum of the potentials due to both spheres.$1$. The potential due

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

$\frac{1}{4\pi \varepsilon_0} \left( \frac{Q_1}{r} + \frac{Q_2}{R_2} \right)$

(B) For a point at a distance $r$ such that $R_1 $1$. The potential due to the inner sphere (radius $R_1$,charge $Q_1$) at a distance $r$ (where $r > R_1$) is $V_1 = \frac{1}{4\pi \varepsilon_0} \frac{Q_1}{r}$.$2$. The potential due to the outer sphere (radius $R_2$,charge $Q_2$) at a distance $r$ (where $r $3$. The total potential $V$ at distance $r$ is $V = V_1 + V_2 = \frac{1}{4\pi \varepsilon_0} \left( \frac{Q_1}{r} + \frac{Q_2}{R_2} \right)$.

Class 12 Physics Electric Potential and Capacitance Electric potential

Medium

Two thin concentric hollow conducting spheres of radii $R_1$ and $R_2$ bear charges $Q_1$ and $Q_2$ respectively. If $R_1 < R_2$,then the potential of a point at a distance $r$ from the centre $(R_1 < r < R_2)$ is

A
$\frac{1}{4\pi \varepsilon_0} \left( \frac{Q_1 + Q_2}{r} \right)$
B
$\frac{1}{4\pi \varepsilon_0} \left( \frac{Q_1}{r} + \frac{Q_2}{R_2} \right)$
C
$\frac{1}{4\pi \varepsilon_0} \left( \frac{Q_1}{R_1} + \frac{Q_2}{R_2} \right)$
D
$\frac{1}{4\pi \varepsilon_0} \left( \frac{Q_1}{R_1} + \frac{Q_2}{r} \right)$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Electric Potential and Capacitance

Subtopic

Electric potential

Charges of $1 \mu C$ are placed at each of the four corners of a square of side $2 \sqrt{2} \text{ m}$. The potential at the point of intersection of the diagonals is . . . . . . .

EasyGUJCET 2015

View Solution

If $50 \, J$ of work must be done to move an electric charge of $2 \, C$ from a point,where potential is $-10 \, V$ to another point,where potential is $V \, V$,the value of $V$ is ......... $V$.

Easy

View Solution

$A$ small sphere of radius $r_{1}$ and charge $q_{1}$ is enclosed by a spherical shell of radius $r_{2}$ and charge $q_{2}$. Show that if $q_{1}$ is positive,charge will necessarily flow from the sphere to the shell (when the two are connected by a wire) no matter what the charge $q_{2}$ on the shell is.

Easy

View Solution

Two charges $5 \times 10^{-8} \; C$ and $-3 \times 10^{-8} \; C$ are located $16 \; cm$ apart. At what point$(s)$ on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.

Medium

View Solution

Charge is uniformly distributed on the surface of a hollow hemisphere. Let $O$ and $A$ be two points on the base of the hemisphere,where $O$ is the center of the base and $A$ is a point between the center and the rim. Let $V_O$ and $V_A$ be the electric potentials at $O$ and $A$ respectively. Then,

Easy

View Solution

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

Two thin concentric hollow conducting spheres of radii $R_1$ and $R_2$ bear charges $Q_1$ and $Q_2$ respectively. If $R_1 < R_2$,then the potential of a point at a distance $r$ from the centre $(R_1 < r < R_2)$ is

Similar Questions

Charges of $1 \mu C$ are placed at each of the four corners of a square of side $2 \sqrt{2} \text{ m}$. The potential at the point of intersection of the diagonals is . . . . . . .

If $50 \, J$ of work must be done to move an electric charge of $2 \, C$ from a point,where potential is $-10 \, V$ to another point,where potential is $V \, V$,the value of $V$ is ......... $V$.

Two charges $5 \times 10^{-8} \; C$ and $-3 \times 10^{-8} \; C$ are located $16 \; cm$ apart. At what point$(s)$ on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.

Charge is uniformly distributed on the surface of a hollow hemisphere. Let $O$ and $A$ be two points on the base of the hemisphere,where $O$ is the center of the base and $A$ is a point between the center and the rim. Let $V_O$ and $V_A$ be the electric potentials at $O$ and $A$ respectively. Then,

Vedclass Test Series

Exam Paper Generator

Online Exam Module