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In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20
In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20 ohms, what is the total impedance? (2020)
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Practice Questions
1 question
Q1
In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20 ohms, what is the total impedance? (2020)
10 ohms
20 ohms
√(10² + 20²)
30 ohms
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The total impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36 ohms.
Questions & Step-by-step Solutions
1 item
Q
Q: In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20 ohms, what is the total impedance? (2020)
Solution:
The total impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36 ohms.
Steps: 8
Show Steps
Step 1: Identify the resistance (R) and inductive reactance (XL) values. Here, R = 10 ohms and XL = 20 ohms.
Step 2: Use the formula for total impedance (Z) in an AC circuit: Z = √(R² + XL²).
Step 3: Calculate R²: 10² = 100.
Step 4: Calculate XL²: 20² = 400.
Step 5: Add R² and XL² together: 100 + 400 = 500.
Step 6: Take the square root of the sum: √500.
Step 7: Calculate the square root: √500 ≈ 22.36.
Step 8: Conclude that the total impedance Z is approximately 22.36 ohms.
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