Question
Which statement correctly describes the relationship between current, voltage, and resistance? If we
Group of answer choices
decrease the voltage, and do not change the resistance, the current will also decrease
increase the resistance, and do not change the current, the voltage will remain the same
decrease the resistance, and do not change the voltage, the current will decrease
Group of answer choices
decrease the voltage, and do not change the resistance, the current will also decrease
increase the resistance, and do not change the current, the voltage will remain the same
decrease the resistance, and do not change the voltage, the current will decrease
Answers
GPT-4o mini
To determine which statement correctly describes the relationship between current, voltage, and resistance, we can refer to Ohm's Law, which states:
\[ V = I \times R \]
where:
- \( V \) is voltage,
- \( I \) is current, and
- \( R \) is resistance.
Let's evaluate each of the given statements:
1. **"Decrease the voltage, and do not change the resistance, the current will also decrease."**
- This statement is true. According to Ohm's Law, if the voltage \( V \) decreases and the resistance \( R \) remains constant, the current \( I \) must also decrease to maintain the equality.
2. **"Increase the resistance, and do not change the current, the voltage will remain the same."**
- This statement is false. If you increase resistance while keeping the current constant, the voltage must increase. According to Ohm's Law, \( V \) would increase since \( V = I \times R \).
3. **"Decrease the resistance, and do not change the voltage, the current will decrease."**
- This statement is false. If resistance \( R \) decreases while keeping voltage \( V \) constant, the current \( I \) must increase, according to Ohm's Law.
The correct statement is:
**"Decrease the voltage, and do not change the resistance, the current will also decrease."**
\[ V = I \times R \]
where:
- \( V \) is voltage,
- \( I \) is current, and
- \( R \) is resistance.
Let's evaluate each of the given statements:
1. **"Decrease the voltage, and do not change the resistance, the current will also decrease."**
- This statement is true. According to Ohm's Law, if the voltage \( V \) decreases and the resistance \( R \) remains constant, the current \( I \) must also decrease to maintain the equality.
2. **"Increase the resistance, and do not change the current, the voltage will remain the same."**
- This statement is false. If you increase resistance while keeping the current constant, the voltage must increase. According to Ohm's Law, \( V \) would increase since \( V = I \times R \).
3. **"Decrease the resistance, and do not change the voltage, the current will decrease."**
- This statement is false. If resistance \( R \) decreases while keeping voltage \( V \) constant, the current \( I \) must increase, according to Ohm's Law.
The correct statement is:
**"Decrease the voltage, and do not change the resistance, the current will also decrease."**