Calculation of Electric Potential

IMPORTANT

Calculation of Electric Potential: Overview

This topic covers concepts such as Electric Potential due to a Charged Ring on Its Axis and Electric Potential on the Axis of Charged Disc.

Important Questions on Calculation of Electric Potential

EASY
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What is the potential electric energy of a charged object?

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What is the electric potential due to an electric?

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What is the electric potential of a point charge?

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What is the electric field on the axis of a charged ring?

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How much work is done in moving a charge of 2C across two points having a potential difference of 5V?

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A rod lies along the x-axis with one end at the origin and other at x> it caries a uniform charge λ cm. Find the electric field at the point x=-a on the x-axis 

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A total charge Q is distributed uniformly along a straight rod of length 1. The potential at a point P at a distance h from the midpoint of the rod is

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Consider a non-conducting rod of length l having a uniform change density λ. Find the electric potential at P at a perpendicular distance y-above the midpoint of the rod.

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The electric potential due to an infinite uniformly charge of linear charge density λ at a distance r from it is given by ro is the reference point.

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A charge +q is distributed over a thin ring of radius r with line charge density λ=qsin2θπr. Note that the ring is in the XY-plane and θ is the angle made by r with the X-axis. The work done by the electric force in displacing a point charge +Q from the centre of the ring to infinity is

MEDIUM
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Two identical rings each of radius R are coaxially placed a distance R apart. They carry charges Q1 and Q2 respectively. If a charge q is moved from the centre of one ring to the centre of the other ring, the work done is

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Half of the non-conducting ring has +Q charge and half has -Q charge. Find potential at point A which is on the line passing through centre perpendicular to plane of ring.

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A thin ring of radius R=3 m has been uniformly charged with an amount of 20 μC and placed in relation to a conducting sphere in such a way that the centre of the sphere O, lies on the rings axis at a distance of l=4 m from the plane of the ring. The potential of the sphere is ………. ×104 volt.

(Given:14πε0=9×109 N m2 C-2 )

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A thin ring of radius R=3m has been uniformly charged with an amount of 20µC and placed in relation to a conducting sphere in such a way that the centre of the sphere O, lies on the rings axis at a distance of l=4m from the plane of the ring. The potential of the sphere is………. ×18×103 volt.
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Two thin rings, each of radius R, are placed at a distance d apart. The charges on the rings are +q and -q, respectively. The potential difference between their centres will be

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Two thin rings each of radius R are placed at a distance d apart. The charges on the rings are +q and q. The potential difference between their centres will be -


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A non-conducting ring of radius 0.5 m carries total charge of 1.11×10-10 C distributed non-uniformly on its circumference producing an electric field everywhere in space.
The value of the line integral l=l=0-E·dl l=0 being centre of the ring) in volt is

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A non-conducting ring of radius 0.5 m carries a total charge of 1.1×1010 C distributed non-uniformly on its circumference producing an electric field E, everywhere in space. The value of the line integral, l=l=0E.dl in S.I. System of units following usual convention, where, l=0 is the centre of the ring is:

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A non-conducting disc, of radius a and uniform positive surface charge density σ is placed on the ground with its axis vertical. A particle of mass m and positive charge q is dropped, along the axis of the disc from a height H with zero initial velocity. The particle has qm=4ε0gσ. What is the stable equilibrium position of the particle? 

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A non-conducting disc, of radius a and uniform positive surface charge density σ is placed on the ground with its axis vertical. A particle of mass m and positive charge q is dropped, along the axis of the disc from a height H with zero initial velocity. The particle has, qm=4ε0gσ. What is the value of H if the particle just reaches the disc?