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The power in an electrical circuit is given by the equation [tex]P = I^2 R[/tex], where [tex]I[/tex] is the current flowing through the circuit and [tex]R[/tex] is the resistance of the circuit. What is the power in a circuit that has a current of 12 amps and a resistance of 100 ohms?

A. 14,400 watts
B. 1,200 watts
C. 144 watts
D. 8.3 watts

Sagot :

GinnyAnsweridn
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
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