If voltage in a circuit is constant, the current can be cut to half of its original value by changing the resistance to?

Question

asked Dec 11, 2018 220k views

2 Answers

Swen Kooij · Answer 1 · 2018-12-15T15:19:19+0000

Answer: Twice its original value.

Explanation:

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

I ∝ V

V = I R

Keeping voltage constant, Current is inversely proportional to resistance.

I ∝ 1/R

$V = (I)/(2)R'\\ \Rightarrow R'= (2V)/(I) =2 R$

When current is cut to half the original, the resistance should be increased to twice its original value to keep the voltage constant.