2010-01-18

Relationship between Energy, Voltage, Current and Time

1. The potential difference or voltage, V across two points is defined as energy, E dissipated or transferred by coulomb of charge, Q that moves through the two points.
Therefore:

Potential difference = Electrical energy dissipated
Charge

V= E /Q

2. Current is the rate of charge flow. Therefore, the total charge flows through the two points is given as:
Q = It

3. Since the energy dissipated or transferred is given by:
E= VQ

Therefore, the relationship between E, V,I and t can be written as:
E = VIt

4. From Ohm’s law, V =IR, therefore,
E = IR × It
E = I²Rt

5. From I = V / R => E = V

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