What is the formula for calculating the impedance in an RLC series circuit? (202

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Question: What is the formula for calculating the impedance in an RLC series circuit? (2022)

Options:

Correct Answer: Z = √(R^2 + X^2)

Exam Year: 2022

Solution:

The impedance (Z) in an RLC series circuit is calculated using the formula Z = √(R^2 + X^2), where X is the total reactance.

What is the formula for calculating the impedance in an RLC series circuit? (2022)

What is the formula for calculating the impedance in an RLC series circuit? (2022)

Step 1: Identify the components of the RLC series circuit: a resistor (R), an inductor (L), and a capacitor (C).
Step 2: Calculate the reactance of the inductor (X_L) using the formula X_L = 2πfL, where f is the frequency in hertz and L is the inductance in henries.
Step 3: Calculate the reactance of the capacitor (X_C) using the formula X_C = 1 / (2πfC), where C is the capacitance in farads.
Step 4: Find the total reactance (X) by subtracting the capacitive reactance from the inductive reactance: X = X_L - X_C.
Step 5: Use the impedance formula Z = √(R^2 + X^2) to calculate the total impedance, where R is the resistance in ohms.

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