To calculate the power \( P \) consumed by a resistor, you can use the formula:
\[ P = I^2 R \]
where:
- \( I \) is the current (in Amperes)
- \( R \) is the resistance (in Ohms)
Given:
- \( R = 24 , \Omega \)
- \( I = 1.8 , A \)
Now, substitute the values into the formula:
\[ P = (1.8 , A)^2 \times 24 , \Omega \] \[ P = 3.24 , A^2 \times 24 , \Omega \] \[ P = 77.76 , W \]
So, the power for the resistor is \( 77.76 , W \).
Therefore, the correct answer is: B. 77.76 W