What is the formula for calculating the impedance in an RLC series circuit? (202
Practice Questions
Q1
What is the formula for calculating the impedance in an RLC series circuit? (2022)
Z = R + jX
Z = √(R^2 + X^2)
Z = R + X
Z = R - jX
Questions & Step-by-Step Solutions
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.
