Home
Class 10
PHYSICS
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^2R`
Power in first case, `P_1=I^2R`
100% increase in current means that current becomes 2l`
Power in second case, `P_2=(2I)^2R=4I^2R`
Now, increase in dissipated power `=P_2-P_1`
`=41^2R-I^2R`
`=3I^2R`
Percenteage increase dissipated power `=(3P_1)/P_1 xx 100`
`=300%`
Promotional Banner

Similar Questions

Explore conceptually related problems

If the current through a resistor in a circuit increases by 3%, the power dissipated by the resistor

If the radius of a cylinder is increased by 25% and its height remains unchanged, then find the per cent increase in volume.

If the area of the base of a cone is increased by 100%, then th volume increases by

If the momentum of a body is increased by 100%, then the percentage increase in the kinetic energy is

A sinusoidal A.C. current flows through a resistor of resistance 10Omega . If the peak current is 2A flowing through the resistor, then the power dissipated is_________W.

If the length of a conductor is increased by 100% keeping its area of cross-section constant, the percentage increase in its resistance is

If the radius of a sphere is increased by 100%, by what per cent does its volume increase?

If height of a cylinder is increased by 4% , while radius remains unchanged, by how much per cent volume increases ?

The voltage across a bulb is decreased by 2%. Assuming that the resistance of the filament remains unchanged, the power of the bulb will