In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20

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Question: In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20 ohms, what is the total impedance? (2020)

Options:

Correct Answer: √(10² + 20²)

Exam Year: 2020

Solution:

The total impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36 ohms.

In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20 ohms, what is the total impedance? (2020)

In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20 ohms, what is the total impedance? (2020)

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.

Impedance in AC Circuits – Impedance (Z) is the total opposition to current flow in an AC circuit, calculated using the formula Z = √(R² + XL²), where R is resistance and XL is inductive reactance.