Question:
In a circuit, a current of \( 2 \, \text{A} \) flows through a resistor of resistance \( 5 \, \Omega \). Calculate the power dissipated in the resistor.
In a circuit, a current of \( 2 \, \text{A} \) flows through a resistor of resistance \( 5 \, \Omega \). Calculate the power dissipated in the resistor.
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Power dissipation in a resistor is proportional to the square of the current. Ensure to use the correct formula depending on what quantities are given in the problem.
Updated On: Apr 18, 2025
- \( 10 \, \text{W} \)
- \( 5 \, \text{W} \)
- \( 15 \, \text{W} \)
- \( 20 \, \text{W} \)
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The Correct Option is A
Solution and Explanation
The power dissipated in a resistor can be calculated using the formula:
\[
P = I^2 R
\]
Where:
- \( P \) is the power dissipated,
- \( I = 2 \, \text{A} \) is the current,
- \( R = 5 \, \Omega \) is the resistance.
Substituting the known values:
\[
P = (2)^2 \times 5 = 4 \times 5 = 20 \, \text{W}
\]
Thus, the power dissipated in the resistor is \( 10 \, \text{W} \).
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