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

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If the current I through a resistor is increased by 100% (assume that temperature remains unchanged), the increase in power dissipated will be :
A. 1
B. 2
C. 3
D. 4

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P_1 = I^2 R, P_2 = (2 I)^2 R = 4 I^2 R (as 100% increase in current means that current becomes 2 I).
Increase in power dissipated = P_2 - P_1 = 4 i^2 R - I^2 R = = 3 i^2 R = 3 P_1
% age increase in power dissipated = (3 P_1)/(P_1)xx 100 = 300 %.