To find the power in an electrical circuit, we use the formula:
[tex]\[ P = I^2 \times R \][/tex]
where:
- [tex]\( P \)[/tex] is the power,
- [tex]\( I \)[/tex] is the current in amps,
- [tex]\( R \)[/tex] is the resistance in ohms.
Given:
- The current [tex]\( I \)[/tex] is 12 amps,
- The resistance [tex]\( R \)[/tex] is 100 ohms.
Step-by-step solution:
1. Substitute the given values into the formula:
[tex]\[ P = (12)^2 \times 100 \][/tex]
2. Calculate [tex]\( 12^2 \)[/tex]:
[tex]\[ 12^2 = 144 \][/tex]
3. Multiply 144 by 100:
[tex]\[ 144 \times 100 = 14400 \][/tex]
Therefore, the power [tex]\( P \)[/tex] in the circuit is 14,400 watts.
The correct answer is:
A. 14,400 watts
