What is the impedance of a series circuit containing a resistor (R) and an induc

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Question: What is the impedance of a series circuit containing a resistor (R) and an inductor (L) at a frequency (f)? (2020)

Options:

Correct Answer: √(R² + (2πfL)²)

Exam Year: 2020

Solution:

The impedance Z in a series RL circuit is given by Z = √(R² + (2πfL)²).

What is the impedance of a series circuit containing a resistor (R) and an inductor (L) at a frequency (f)? (2020)

What is the impedance of a series circuit containing a resistor (R) and an inductor (L) at a frequency (f)? (2020)

Step 1: Identify the components in the circuit. You have a resistor (R) and an inductor (L).
Step 2: Understand that impedance (Z) is a measure of how much the circuit resists the flow of electric current.
Step 3: Know that in a series circuit, the total impedance is affected by both the resistance (R) and the inductive reactance (XL).
Step 4: Calculate the inductive reactance (XL) using the formula XL = 2πfL, where f is the frequency and L is the inductance.
Step 5: Use the impedance formula for a series RL circuit, which is Z = √(R² + XL²).
Step 6: Substitute XL from Step 4 into the impedance formula: Z = √(R² + (2πfL)²).
Step 7: This final formula gives you the impedance of the series circuit at the specified frequency.

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