To determine the power ([tex]\(P\)[/tex]) in an electrical circuit using the given current ([tex]\(I\)[/tex]) and resistance ([tex]\(R\)[/tex]), we utilize the power formula:
[tex]\[ P = I^2 \times R \][/tex]
Given:
- Current ([tex]\(I\)[/tex]) is 12 amps.
- Resistance ([tex]\(R\)[/tex]) is 100 ohms.
Let's go through the step-by-step solution:
1. Calculate [tex]\( I^2 \)[/tex] (the square of the current):
[tex]\[
I^2 = 12^2 = 144
\][/tex]
2. Multiply [tex]\( I^2 \)[/tex] by the resistance [tex]\( R \)[/tex]:
[tex]\[
P = 144 \times 100 = 14,400
\][/tex]
Therefore, the power [tex]\(P\)[/tex] in the circuit is [tex]\(14,400\)[/tex] watts.
The correct answer is:
B. 14,400 watts
