Question
A car radio with a resistance of 15 ohms draws a current of 0.87 amperes. What is the voltage of the car battery?
(1 point)
Responses
1.3 volts
1.3 volts
5.8 volts
5.8 volts
13 volts
13 volts
17 volts
(1 point)
Responses
1.3 volts
1.3 volts
5.8 volts
5.8 volts
13 volts
13 volts
17 volts
Answers
GPT-4o mini
To find the voltage of the car battery, we can use Ohm's Law, which states:
\[ V = I \times R \]
Where:
- \( V \) is the voltage in volts,
- \( I \) is the current in amperes,
- \( R \) is the resistance in ohms.
Given:
- \( R = 15 \) ohms
- \( I = 0.87 \) amperes
Substituting the values into the formula:
\[ V = 0.87 \, \text{amperes} \times 15 \, \text{ohms} \]
\[ V = 13.05 \, \text{volts} \]
Rounding this to one decimal place, the voltage is approximately 13 volts.
Therefore, the correct response is:
**13 volts**
\[ V = I \times R \]
Where:
- \( V \) is the voltage in volts,
- \( I \) is the current in amperes,
- \( R \) is the resistance in ohms.
Given:
- \( R = 15 \) ohms
- \( I = 0.87 \) amperes
Substituting the values into the formula:
\[ V = 0.87 \, \text{amperes} \times 15 \, \text{ohms} \]
\[ V = 13.05 \, \text{volts} \]
Rounding this to one decimal place, the voltage is approximately 13 volts.
Therefore, the correct response is:
**13 volts**