Wheeler Davison
03/03/2023 · Primary School
Calculate the power loss in a \( 5 \Omega \) resistor which has 50 mA 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 Working: P Answer: P
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Step-by-step Solution
To calculate the power loss in a resistor, we can use the formula:
\[ P = I^2 \times R \]
Given:
- Resistance (\( R \)) = 5 Ω
- Current (\( I \)) = 50 mA = 0.05 A
Substitute the values into the formula:
\[ P = (0.05)^2 \times 5 \]
Now, we can calculate the power loss.
Calculate the value by following steps:
- step0: Calculate:
\(0.05^{2}\times 5\)
- step1: Convert the expressions:
\(\left(\frac{1}{20}\right)^{2}\times 5\)
- step2: Evaluate the power:
\(\frac{1}{400}\times 5\)
- step3: Multiply:
\(\frac{1}{80}\)
The power loss in the \(5 \Omega\) resistor with 50 mA of current flowing through it is \(0.0125\) watts.
Quick Answer
\[ P = (0.05)^2 \times 5 \]
Power loss is \(0.0125\) watts.
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