Question

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

V=IR


(1 point)
Responses

The resistance is doubled.
The resistance is doubled.

The resistance is tripled.
The resistance is tripled.

The resistance is halved.
The resistance is halved.

The resistance stays the same.

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 while the voltage \( V \) remains constant, we can rearrange Ohm's Law to find the resistance:

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

If \( I \) is halved (let's denote the original current as \( I_0 \), so new current \( I = \frac{I_0}{2} \)), then the new resistance will be:

\[
R = \frac{V}{\frac{I_0}{2}} = \frac{2V}{I_0}
\]

This means that the resistance \( R \) will double if the current is halved and voltage remains constant.

Therefore, the correct response is:

**The resistance is doubled.**