The impedance of an RLC circuit is given by which of the following formulas? (2022)
Practice Questions
1 question
Q1
The impedance of an RLC circuit is given by which of the following formulas? (2022)
Z = R + jX
Z = √(R² + (X_L - X_C)²)
Z = R + X_L + X_C
Z = R - jX
The impedance (Z) of an RLC circuit is given by Z = √(R² + (X_L - X_C)²), where X_L is the inductive reactance and X_C is the capacitive reactance.
Questions & Step-by-step Solutions
1 item
Q
Q: The impedance of an RLC circuit is given by which of the following formulas? (2022)
Solution: The impedance (Z) of an RLC circuit is given by Z = √(R² + (X_L - X_C)²), where X_L is the inductive reactance and X_C is the capacitive reactance.
Steps: 6
Step 1: Understand that an RLC circuit consists of a resistor (R), an inductor (L), and a capacitor (C).
Step 2: Know that impedance (Z) is a measure of how much the circuit resists the flow of electric current.
Step 3: Identify the components of impedance: resistance (R) and reactance (X).
Step 4: Recognize that the total reactance (X) in an RLC circuit is the difference between inductive reactance (X_L) and capacitive reactance (X_C).
Step 5: Use the formula for impedance: Z = √(R² + (X_L - X_C)²).
Step 6: Remember that X_L is calculated as 2πfL and X_C is calculated as 1/(2πfC), where f is the frequency.
