Electrostatic Potential And Potential Difference.

Physics

definition

Energy density of a medium

Energy density is the amount of energy stored in a given system or region of space per unit volume or mass.

Energy density in an isotropic medium:
                   

definition

Electric potential

Electric potential () at a point is defined as the amount of work done in bringing a unit positive charge from infinity to that point.
Unit of potential is .

Note: Potential is taken to be zero at infinity and at ground.

result

Work done by a given charge

Work done by a charge to move through a potential difference is given by
Where = Final potential and = Initial potential

definition

Unit of potential difference

The S.I Unit of potential difference is volt (V).
1 volt =One volt is the potential difference between two points in a current carrying conductor when 1 joule of work is done to move a charge of 1 coulomb from one point to the other.

The potential difference is measured by an instrument called voltmeter.

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Important Questions

How much work is done in moving a charge of across two points having a potential difference of

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In the circuit shown the current through the resistor is amp when the points and are connected to a d.c voltage source. The potential difference between the points and is:

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The work done in bringing a unit positive charge from infinite distance to a point at distance x from a positive charge Q is W. Then the potential at that point is:

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Charges and are placed at points and respectively which are a distance apart, is the midpoint between and . The work done in moving a charge along the semicircle is:

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Two positive point charges are of and are apart from each other. The work done in bringing them closer is

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Two points P and Q are maintained at potentials of of and respectively. The work done in moving electrons from P to Q is equal to

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Figure shows some equipotential lines distributed in space. A charged object is moved from point A to point B.

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The kinetic energy of an electron, which is accelerated in the potential difference of , is

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The dimensional formula of electric potential is given by

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(a) State the relation between potential difference , work done and charge moved.
(b) Calculate the work done in moving a charge of 4 coulomb from a point at volts to another point at volts.

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