To determine the power conducted by the resistor, we use the formula for electric power:
[tex]\[ P = V \times I \][/tex]
Where:
- [tex]\( P \)[/tex] is the power in watts (W)
- [tex]\( V \)[/tex] is the voltage in volts (V)
- [tex]\( I \)[/tex] is the current in amperes (A)
Given the following values:
- Voltage [tex]\( V = 12.0 \)[/tex] volts
- Current [tex]\( I = 0.200 \)[/tex] amperes
We substitute these values into the power formula:
[tex]\[ P = 12.0 \, \text{V} \times 0.200 \, \text{A} \][/tex]
Performing the multiplication:
[tex]\[ P = 2.4000000000000004 \, \text{W} \][/tex]
Therefore, the power conducted by the resistor is:
[tex]\[ 2.4 \, \text{W} \][/tex]
From the provided options, the correct answer is:
B. [tex]\( 2.40 \, \text{W} \)[/tex]
