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Lesson 3, Topic 2
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# Electrical Work Done, Energy & Power

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The work done, w, in moving a charge from one point to another when a potential difference p.d in volts is applied is

W = QV——————- (I)

but Q = It

∴ = VIt —————– *

= IVt—————— (II)

Where I = current in amperes

t – seconds (time)

from Ohm’s law,

V = IR ———————

Substituting V in eq (II)

W = I.IRt

= $$\scriptsize I^2RT$$ —————— (III)

also  V = IR

I = $$\frac {V}{R}$$

Using equation: II

∴ W = IVt

= $$\frac {V^2t}{R}$$————– (IV)

Electrical energy is measured in Joules.

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