Question

A current is flowing in a circuit consisting of a resistor and a battery.
What happens to the power dissipated in the resistor when the resistance is quadrupled and the voltage remains constant?

A

It is doubled

B

It is quadrupled

C

It is halved

D

It is quartered

E

It remains the same

Medium

Solution

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Correct option is D)

Let the voltage of the battery be and initial resistance be  .
Thus, the initial power dissipated is              
Now the resistance is quadrupled keeping the voltage constant i.e  
New power dissipattion is     
Hence the power dissipated is quartered. 

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