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If the current I through a resistor is i...

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

Text Solution

Verified by Experts

The correct Answer is:
C
If I is current and .R. is resistance then, Power, `P =I^(2)R` Power in first case, `P_(1) = I^(2)R`
100% increase in current means that current becomes 21 Power in second case, `P_(2) = (21)^(2)R = 4I^(2)R`
Now, increase in dissipated power = `P^(2) - P_(1)`
`=3I^(2)R`
percentage increase in dissipated power =`(3P_(1))/(P_(1))xx100`
300%
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