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.

1 answer

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.