Question
The resistance of the resistor is 24Ω and the current going through the resistor is 1,8 A. What is the power for the resistor?
Question 5 Answer
A.
7,41 W
B.
77,76 W
C.
43,20 W
D.
0,14 W
Question 5 Answer
A.
7,41 W
B.
77,76 W
C.
43,20 W
D.
0,14 W
Answers
GPT-4o mini
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**
\[
P = I^2 R
\]
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**