Question

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

V=IR


(1 point)
Responses

The resistance is halved.
The resistance is halved.

The resistance is tripled.
The resistance is tripled.

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

The resistance is doubled.

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 express the relationship as follows:

1. Original: \( V = I_1 R \)
2. New: \( V = \frac{I_1}{2} R' \)

Since the voltage \( V \) is the same in both cases, you can set them equal:

\[
I_1 R = \frac{I_1}{2} R'
\]

To find the new resistance \( R' \), we can manipulate this equation:

\[
R' = 2R
\]

Thus, if the current in the circuit is halved and the voltage remains constant, the resistance will be doubled.

The correct response is: **The resistance is doubled.**