Question

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

Options

• 100%

• 200%

• 300%

• 400%

Answer 1

300%

Explanation - 

If the current is increased by 100% then the current will become twice i.e 2I. The power dissipated through a resistor is given by 

P = I²R

If the current is made twice then power dissipated will become four times.
i.e. P' = 4 P  

The percentage increase in power is given as,

`"Increase in power" = (4"P" - "P")/"P" xx 100%`

= 300%