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

1 question

1 item

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

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

Steps: 9

Step 1: Identify the resistance (R) and the inductive reactance (XL) from the problem. Here, R = 10 ohms and XL = 20 ohms.
Step 2: Write down the formula for impedance (Z) in an AC circuit: Z = √(R² + XL²).
Step 3: Substitute the values of R and XL into the formula: Z = √(10² + 20²).
Step 4: Calculate R²: 10² = 100.
Step 5: Calculate XL²: 20² = 400.
Step 6: Add the results from Step 4 and Step 5: 100 + 400 = 500.
Step 7: Take the square root of the sum from Step 6: Z = √500.
Step 8: Calculate the square root: √500 ≈ 22.36.
Step 9: State the final answer: The impedance is approximately 22.36 ohms.