Potential Due to a Point Charge

IMPORTANT

Potential Due to a Point Charge: Overview

This topic covers concepts such as Electric Potential due to a Point Charge at a Point, Graph of Electric Field Due to Point Charge, and Graph of Electric Potential Due to Point Charge.

Important Questions on Potential Due to a Point Charge

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Electric potential due to point charge in air is expressed as V=14πε0·qr as V1r. i.e for r=0 to r= potential varies 

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The graph of variation of potential due to point charge vs distance is said to be symmetric

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Electric potential due to point charge in air is expressed as V=14πε0·qr as V1r. i.e for r=0 to r= potential varies 

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Which of the follow graph is correct for potential due to point charge at any point versus distance as shown in figure.

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The graph of variation of potential due to point charge vs distance is said to be _____ symmetric

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A metallic sphere A isolated from the ground is charged to +50 μC. This sphere is brought in contact with other isolated metallics sphere B of half the radius of sphere A. The charge on the two sphere will now be in the ratio

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What is the electric potential at a point 1 m distance from a point charge of 10-9 coulomb? Round it to the nearest integer.

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The potential at a point P due to a charge of 4×10-7 C located 9 cm away is (Assume 14πε0=9×109 N C-2 m2)

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An electric charge 103μC  is placed at the origin 0, 0. Two points A and B are situated at 2¸2 and 2, 0 respectively. The potential difference between the points A and B will be

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The electric potential due to a point charge at some point in free space is 10 V. If the entire system is now placed in a dielectric medium of dielectric constant 2. What will be the potential at the same point in volt?

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Show that the electric potential due to a point charge when surrounded by some dielectric medium is 1/εr times of the electric potential when the charge is in free space.

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A charge of 10 μC is located at the origin of X-Y coordinate system. The potential difference between points (a, 0) and a2,a2 is

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The electric potential is +100 V at a distance of 10 cm from a point charge q. Then, q is equal to

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If three point charges are placed at the three corners of a square of diagonals 2a as shown in the figure. Then, BAE.dr will be




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There are four sphere of each  with radius as a, b, c, d, each sphere is solid, insulating and uniformly charged. Variation of electric field with distance r from the centre is given. Straight portion of curve c and d is overlapping and straight portion of curve a and b is overlapping.
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Four charges of 6μC, 2μC,  12μC and 4μC are placed at the corners of a square of side 1m. The square is in x-y plane and its center at its origin. Electric potential due to these charges is zero everywhere on the line -

MEDIUM
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Two equal point charges are fixed at x=a and x=+a, on the x-axis. Another point charge Q is placed at the origin. The change in the electrical potential energy of Q, when it is displaced by a small distance x, along x-axis, is approximately proportional to

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A square of side a has charge Q at its centre and charge q at one of the corners. The work required to be done in moving the charge q from the corner to the diagonally opposite corner is

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An electric charge 10-3 C is placed at the origin 0, 0 of X-Y coordinate system. Two points A and B are situated at 2, 2 and 2, 0 respectively. The potential difference between the points A and B will be,

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Two charges, +q and -q, are kept apart. Then, at any point on the right bisector of line joining the two charges,