(A) Consider a point $P$ on the axis of the ring at a distance $x$ from the center $O$. Every small charge element $dq$ on the ring is at the same dis

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

The potential at all the points on the axis will be zero.

(A) Consider a point $P$ on the axis of the ring at a distance $x$ from the center $O$. Every small charge element $dq$ on the ring is at the same distance $r = \sqrt{R^2 + x^2}$ from point $P$,where $R$ is the radius of the ring. The electric potential $V$ at point $P$ is given by $V = \int \frac{k dq}{r} = \frac{k}{r} \int dq$. Since the total charge on the ring is zero,$\int dq = 0$,therefore the potential $V$ at any point on the axis is zero. Thus,option $A$ is correct.

Class 12 Physics Electric Charges and Fields Mix Examples-Electric Charges and Fields

Difficult

The figure shows a nonconducting ring which has positive and negative charge non-uniformly distributed on it such that the total charge is zero. Which of the following statements is true?

A
The potential at all the points on the axis will be zero.
B
The electric field at all the points on the axis will be zero.
C
The direction of electric field at all points on the axis will be along the axis.
D
If the ring is placed inside a uniform external electric field then net torque and force acting on the ring would be zero.

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Electric Charges and Fields

Subtopic

Mix Examples-Electric Charges and Fields

Three positive charges $q$ are placed at the vertices of an equilateral triangle. How do their electric field lines appear?

Medium

View Solution

Four charges are arranged at the corners of a square $ABCD$,as shown. The force on a $+ve$ charge kept at the centre of the square is

Easy

View Solution

$A$ charge $Q$ is uniformly distributed over the surface of a thin spherical shell of radius $R$. Which of the following graphs most closely represents the electric field $E(r)$ produced by the shell in the range $0 \leq r < \infty$,where $r$ is the distance from the center of the shell?

Medium

View Solution

Point charges are placed at the vertices of a regular hexagon with center $O$ and side length $L$ as shown in the figure. Given $K = \frac{q}{4\pi \epsilon_0 L^2}$,which of the following statements is correct?

Easy

View Solution

Given below are two statements:
Statement-$I$: $A$ point charge is brought into an electric field. The value of the electric field at a point near the charge may increase if the charge is positive.
Statement-$II$: An electric dipole is placed in a non-uniform electric field. The net electric force on the dipole will not be zero.
Choose the correct answer from the options given below:

MediumJEE MAIN 2022

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

The figure shows a nonconducting ring which has positive and negative charge non-uniformly distributed on it such that the total charge is zero. Which of the following statements is true?

Similar Questions

Three positive charges $q$ are placed at the vertices of an equilateral triangle. How do their electric field lines appear?

Four charges are arranged at the corners of a square $ABCD$,as shown. The force on a $+ve$ charge kept at the centre of the square is

$A$ charge $Q$ is uniformly distributed over the surface of a thin spherical shell of radius $R$. Which of the following graphs most closely represents the electric field $E(r)$ produced by the shell in the range $0 \leq r < \infty$,where $r$ is the distance from the center of the shell?

Point charges are placed at the vertices of a regular hexagon with center $O$ and side length $L$ as shown in the figure. Given $K = \frac{q}{4\pi \epsilon_0 L^2}$,which of the following statements is correct?

Vedclass Test Series

Exam Paper Generator

Online Exam Module