Question
The current in a circuit is halved. What happens to the resistance?
V=IR
(1 point)
Responses
The resistance stays the same.
The resistance stays the same.
The resistance is halved.
The resistance is halved.
The resistance is doubled.
The resistance is doubled.
The resistance is tripled.
V=IR
(1 point)
Responses
The resistance stays the same.
The resistance stays the same.
The resistance is halved.
The resistance is halved.
The resistance is doubled.
The resistance is doubled.
The resistance is tripled.
Answers
GPT-4o mini
According to Ohm's Law, which is represented by the equation \( V = IR \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance, if the current \( I \) is halved and the voltage \( V \) remains constant, we can analyze the situation as follows:
Given that \( V = IR \), if we rearrange it, we have \( R = \frac{V}{I} \).
If the current \( I \) is halved (\( I' = \frac{I}{2} \)), and we keep the voltage constant:
\[
R' = \frac{V}{I'} = \frac{V}{\frac{I}{2}} = \frac{2V}{I} = 2R
\]
Thus, the resistance \( R \) will double when the current is halved, provided the voltage remains the same.
Therefore, the correct response is:
**The resistance is doubled.**
Given that \( V = IR \), if we rearrange it, we have \( R = \frac{V}{I} \).
If the current \( I \) is halved (\( I' = \frac{I}{2} \)), and we keep the voltage constant:
\[
R' = \frac{V}{I'} = \frac{V}{\frac{I}{2}} = \frac{2V}{I} = 2R
\]
Thus, the resistance \( R \) will double when the current is halved, provided the voltage remains the same.
Therefore, the correct response is:
**The resistance is doubled.**