Question

The current in a circuit is halved. What happens to the resistance?

V=IR


(1 point)
Responses

The resistance is tripled.
The resistance is tripled.

The resistance stays the same.
The resistance stays the same.

The resistance is halved.
The resistance is halved.

The resistance is doubled.

Answer 1

According to Ohm's Law, \( V = IR \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance. If the current \( I \) is halved and the voltage \( V \) remains constant, the relationship can be rearranged to show that resistance must change to maintain the equation:

1. If \( I \) is halved (let's say \( I \) becomes \( \frac{I}{2} \)), and \( V \) remains constant, then:

\[
V = \left(\frac{I}{2}\right)R'
\]

where \( R' \) is the new resistance.

2. Rearranging gives:

\[
R' = \frac{V}{\frac{I}{2}} = \frac{2V}{I} = 2R
\]

Thus, the resistance is doubled.

So the correct response is:

**The resistance is doubled.**