Question

A circuit has a current of 2.4 A. The voltage is increased to 4 times its original value, while the resistance stays the same. How should the resistance change to return the current to its original value if the voltage remains at its increased amount?

Answer 1

It should increase to four times its value.

Step-by-step explanation:

Answer 2

Resistance will become 4 times the previous value

Step-by-step explanation:

We have given current in the circuit i = 2.4 A

According to ohm's law current in the circuit is given by
`I=(V)/(R)`

So
`2.4=(V)/(R)`............eqn 1

Now voltage is increased to 4 times so new voltage = 4 V

And current in the circuit is same as 2.4 A

We have to fond the resistance so that after increasing voltage current will be same

So
`2.4=(4V)/(R_(unknown))`..........eqn 2

Dividing eqn 1 and 2

`1=(V)/(R)* (R_(unkown))/(4V)`

`R_(unknown)=4R`

So resistance will become 4 times the previous value