If the current I through a resistor is increased by100% (assume that temperature remainsunchanged), the increase in power dissipated will be
Question
If the current I through a resistor is increased by100% (assume that temperature remainsunchanged), the increase in power dissipated will be
Solution
The power dissipated in a resistor is given by the formula P = I^2R, where I is the current and R is the resistance.
If the current I is increased by 100%, it means the new current is 2I.
The new power dissipated will be P' = (2I)^2R = 4I^2R.
The increase in power dissipated is therefore P' - P = 4I^2R - I^2R = 3I^2R.
So, the power dissipated increases by 300% when the current is increased by 100%.
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