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 the voltage, \( I \) is the current, and \( R \) is the resistance.

If the current \( I \) is halved and the voltage \( V \) remains constant, we can rearrange Ohm's Law to find resistance:

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

When the current is halved, \( I \) becomes \( \frac{1}{2}I \). Therefore, if we substitute this into the equation, we get:

\[
R = \frac{V}{\frac{1}{2}I} = \frac{2V}{I}
\]

This shows that the resistance \( R \) must double to maintain the same voltage when the current is halved.

So, the correct response is:

**The resistance is doubled.**