The impedance of an RLC circuit is given by which of the following formulas? (20

Practice Questions

Q1
The impedance of an RLC circuit is given by which of the following formulas? (2022)
  1. Z = R + jX
  2. Z = √(R² + (X_L - X_C)²)
  3. Z = R + X_L + X_C
  4. Z = R - jX

Questions & Step-by-Step Solutions

The impedance of an RLC circuit is given by which of the following formulas? (2022)
  • 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.
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