A network contains linear resistors and ideal voltage sources.

A network contains linear resistors and ideal voltage sources. If values of all the resistors are doubled, then the voltage across the resistor is—

Let the network contains two resistors in

I =	V	or V = 2 IR ....(1)
	R

If the value of resistance increases to two times

I becomes	1	and R becomes 2R.
	2

so new voltage

V′ = 2.	1	(2R) = 2 IR = V
	2

Hence, alternative (D) is correct.