# If the current I through a resistor is increased by 100% (assume that temperature remains unchanged), find the increase in power dissipated.

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If the current I through a resistor is increased by 100% (assume that temperature remains unchanged), find the increase in power dissipated.

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P1 = I2R, P2 = (2I)2R = 4I2R (as 100% increase in current means that current becomes 2I).

Increase in power dissipated

= P2 - P1 = 4i2R - I2R = 3i2R = 3P1

% age increase in power dissipated = $\frac{3P_1}{P1} \times 100$ = 300%