(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

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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

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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.

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Mix Examples-Electric Charges and Fields

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MediumAP EAMCET 2025

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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?

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During lightning,a current pulse,as shown in the figure,flows from a cloud at a height of $1.5 \ km$ to the ground. If the breakdown electric field of humid air is about $400 \ kVm^{-1}$,the energy released during lightning would be (in units of $10^9 \ J$):

Charges are placed on the vertices of a square as shown in the figure. Let $\vec{E}$ be the electric field and $V$ be the electric potential at the center. If the charges at $A$ and $B$ are interchanged with those at $D$ and $C$ respectively,then:

Two electric charges $+2 \mu C$ and $-4 \mu C$ are separated by a distance $3 \ m$ in air. At a point $P$ located on the line joining the two charges and in between them, the electric potential is zero. Then the electric field at point $P$ (in $NC^{-1}$) is (in $,000$)

The force between two conducting spheres of same radius having charges $+8 \mu C$ and $-4 \mu C$ separated by some distance in air is $F$. If the spheres are connected by a conducting wire and after some time the wire is removed,then the magnitude of the force between the two conducting spheres is

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