Question:
At resonance in a series RLC circuit, the impedance is
At resonance in a series RLC circuit, the impedance is
Show Hint
In series resonance, impedance is minimum and current is maximum.
Updated On: May 27, 2026
- Maximum
- Minimum
- Infinite
- Zero
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
In a series RLC circuit, impedance is:
\[
Z=\sqrt{R^2+(X_L-X_C)^2}
\]
Step 1: At resonance: \[ X_L=X_C \]
Step 2: Hence: \[ X_L-X_C=0 \]
Step 3: Therefore: \[ Z=\sqrt{R^2} \] \[ Z=R \]
Step 4: Since \(R\) is the minimum possible impedance in the circuit, impedance is minimum at resonance. Therefore: \[ \boxed{\text{Minimum}} \]
Step 1: At resonance: \[ X_L=X_C \]
Step 2: Hence: \[ X_L-X_C=0 \]
Step 3: Therefore: \[ Z=\sqrt{R^2} \] \[ Z=R \]
Step 4: Since \(R\) is the minimum possible impedance in the circuit, impedance is minimum at resonance. Therefore: \[ \boxed{\text{Minimum}} \]
Was this answer helpful?
0
0
Top AP ECET EEE Electrical Engineering Questions
- Ohm's law states that
- The unit of electrical resistance is
- Kirchhoff's current law is based on the conservation of
- Kirchhoff's voltage law is based on the conservation of
- The material having nearly zero temperature coefficient of resistance is
View More Questions
Top AP ECET EEE AC Circuits Questions
- The unit of inductance is
- Energy stored in an inductor is given by
- The opposition offered by an inductor to alternating current is called
- The opposition offered by a capacitor to alternating current is called
- In a purely inductive circuit, current
View More Questions