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A circuit has a resistance of 10Ω and a reactance of 5Ω. What is the impedance o
A circuit has a resistance of 10Ω and a reactance of 5Ω. What is the impedance of the circuit? (2021)
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Practice Questions
1 question
Q1
A circuit has a resistance of 10Ω and a reactance of 5Ω. What is the impedance of the circuit? (2021)
5Ω
10Ω
√125Ω
√(10² + 5²)Ω
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The impedance Z is calculated as Z = √(R² + X²) = √(10² + 5²) = √125Ω.
Questions & Step-by-step Solutions
1 item
Q
Q: A circuit has a resistance of 10Ω and a reactance of 5Ω. What is the impedance of the circuit? (2021)
Solution:
The impedance Z is calculated as Z = √(R² + X²) = √(10² + 5²) = √125Ω.
Steps: 7
Show Steps
Step 1: Identify the resistance (R) and reactance (X) values from the problem. Here, R = 10Ω and X = 5Ω.
Step 2: Use the formula for impedance (Z), which is Z = √(R² + X²).
Step 3: Calculate R². This is 10² = 100.
Step 4: Calculate X². This is 5² = 25.
Step 5: Add R² and X² together. This is 100 + 25 = 125.
Step 6: Take the square root of the sum. This is √125.
Step 7: Simplify √125. This is approximately 11.18Ω.
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