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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 by 100% (assume that temperature remains unchanged), the increase in power dissipated will be

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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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