Question
If a 6 ohm wire is connected to a 10 volt battery, what will the current be?
.67 amperes
1.67 amperes
6 amperes
60 amperes
.67 amperes
1.67 amperes
6 amperes
60 amperes
Answers
GPT-4o mini
To find the current flowing through a resistor when connected to a voltage source, you can use Ohm's Law, which is given by the formula:
\[ I = \frac{V}{R} \]
where:
- \( I \) is the current in amperes (A),
- \( V \) is the voltage in volts (V),
- \( R \) is the resistance in ohms (Ω).
In this case, you have:
- \( V = 10 \, \text{volts} \)
- \( R = 6 \, \text{ohms} \)
Plugging in the values:
\[ I = \frac{10 \, \text{volts}}{6 \, \text{ohms}} \]
Calculating this gives:
\[ I \approx 1.67 \, \text{amperes} \]
So, the correct answer is **1.67 amperes**.
\[ I = \frac{V}{R} \]
where:
- \( I \) is the current in amperes (A),
- \( V \) is the voltage in volts (V),
- \( R \) is the resistance in ohms (Ω).
In this case, you have:
- \( V = 10 \, \text{volts} \)
- \( R = 6 \, \text{ohms} \)
Plugging in the values:
\[ I = \frac{10 \, \text{volts}}{6 \, \text{ohms}} \]
Calculating this gives:
\[ I \approx 1.67 \, \text{amperes} \]
So, the correct answer is **1.67 amperes**.