The impedance of an RLC circuit is minimum when which condition is satisfied? (2022)
Practice Questions
1 question
Q1
The impedance of an RLC circuit is minimum when which condition is satisfied? (2022)
XL = XC
R = 0
R = XL
R = XC
The impedance (Z) of an RLC circuit is minimum when the inductive reactance (X_L) equals the capacitive reactance (X_C), which is the condition for resonance.
Questions & Step-by-step Solutions
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Q
Q: The impedance of an RLC circuit is minimum when which condition is satisfied? (2022)
Solution: The impedance (Z) of an RLC circuit is minimum when the inductive reactance (X_L) equals the capacitive reactance (X_C), which is the condition for resonance.
Steps: 6
Step 1: Understand what impedance (Z) means in an RLC circuit. Impedance is the total opposition to current flow in the circuit.
Step 2: Know that an RLC circuit consists of a resistor (R), an inductor (L), and a capacitor (C).
Step 3: Learn about reactance. Inductive reactance (X_L) is the opposition to current due to the inductor, and capacitive reactance (X_C) is the opposition due to the capacitor.
Step 4: Recognize that the impedance is minimum when the effects of the inductor and capacitor cancel each other out.
Step 5: This cancellation happens when the inductive reactance (X_L) equals the capacitive reactance (X_C).
Step 6: This condition is known as resonance in the circuit.
