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The formula for power lost in an electrical circuit, primarily due to resistance, can be derived from Ohm's Law and the definition of power. Ohm's Law states that ( V = I \times R ), where ( V ) is voltage, ( I ) is current, and ( R ) is resistance. The power lost, or dissipated as heat, can be calculated using the formula ( P = I^2 \times R ) or ( P = \frac{V^2}{R} ), where ( P ) is power. This shows that power loss increases with the square of the current or inversely with the resistance.

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