Harmon Curry
08/11/2024 · Middle School
Calculate the power loss in a \( 40 \Omega \) resistor which has 1.2 A of current flowing through it. Summarise your working in the fields below. Select formula elements from the drop-down menus and enter values into the text fields. Formula: P
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To calculate the power loss in a resistor, we can use the formula:
\[
P = I^2 R
\]
Where:
- \( P \) is the power (in watts),
- \( I \) is the current (in amperes),
- \( R \) is the resistance (in ohms).
Given:
- \( I = 1.2 \, \text{A} \)
- \( R = 40 \, \Omega \)
Now, substituting the values into the formula:
\[
P = (1.2 \, \text{A})^2 \times 40 \, \Omega
\]
Calculating \( (1.2 \, \text{A})^2 \):
\[
(1.2)^2 = 1.44 \, \text{A}^2
\]
Now, substituting back into the power formula:
\[
P = 1.44 \, \text{A}^2 \times 40 \, \Omega
\]
Calculating the power:
\[
P = 57.6 \, \text{W}
\]
### Summary of Working:
- **Formula**: \( P = I^2 R \)
- **Current (I)**: \( 1.2 \, \text{A} \)
- **Resistance (R)**: \( 40 \, \Omega \)
- **Calculation**: \( P = (1.2)^2 \times 40 = 1.44 \times 40 = 57.6 \, \text{W} \)
- **Power Loss**: \( 57.6 \, \text{W} \)
Quick Answer
The power loss in the resistor is \( 57.6 \, \text{W} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
(0)
Ask Real Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
PREV 
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
