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A circuit has a resistance of 10 Ω and a reactance of 10 Ω. What is the impedanc
A circuit has a resistance of 10 Ω and a reactance of 10 Ω. What is the impedance of the circuit? (2020)
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Q1
A circuit has a resistance of 10 Ω and a reactance of 10 Ω. What is the impedance of the circuit? (2020)
10 Ω
14.14 Ω
20 Ω
5 Ω
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The impedance Z = √(R² + X²) = √(10² + 10²) = √200 = 14.14 Ω.
Questions & Step-by-step Solutions
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Q
Q: A circuit has a resistance of 10 Ω and a reactance of 10 Ω. What is the impedance of the circuit? (2020)
Solution:
The impedance Z = √(R² + X²) = √(10² + 10²) = √200 = 14.14 Ω.
Steps: 7
Show Steps
Step 1: Identify the resistance (R) and reactance (X) values. Here, R = 10 Ω and X = 10 Ω.
Step 2: Use the formula for impedance (Z), which is Z = √(R² + X²).
Step 3: Calculate R². Since R = 10 Ω, R² = 10² = 100.
Step 4: Calculate X². Since X = 10 Ω, X² = 10² = 100.
Step 5: Add R² and X² together. So, 100 + 100 = 200.
Step 6: Take the square root of the sum. √200 = 14.14.
Step 7: The impedance of the circuit is 14.14 Ω.
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