Acircuit 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?

it should decrease to one-half of its value.
it should decrease to one-fourth of its value.
it should increase to two times its value.
it should increase to four times its value.

D just took the test

It should increase to four times its value.

Explanation:

Current I = 2.4 A

New Voltage, V = 4 Vo (where Vo is the old voltage)

Resistance R

From Ohm's law: current is directly proportional to voltage.

Vo = IR

V = I R' ( R ' is the new resistance)

⇒4 Vo = I R '

⇒R ' = 4 (V/I) = 4 R

For current to remain is same at the new voltage, the resistance must increase to four times its value.

your answer is c! hope this : )