Question:
The a.c circuit exhibiting the phenomenon of resonance has/have the circuit element(s)
The a.c circuit exhibiting the phenomenon of resonance has/have the circuit element(s)
Show Hint
Resonance frequency: \(f_r = \frac{1}{2\pi\sqrt{LC}}\). At this frequency, the circuit behaves like a pure resistor.
Updated On: Apr 24, 2026
- inductor and resistor
- capacitor and resistor
- inductor only
- capacitor only
- inductor and capacitor
Show Solution
Verified By Collegedunia
The Correct Option is
Solution and Explanation
Step 1: Understanding the Concept:
Resonance in an AC circuit occurs when the inductive reactance (\(X_L\)) equals the capacitive reactance (\(X_C\)).
Step 2: Detailed Explanation:
For resonance to occur, the circuit must contain both an inductor (L) and a capacitor (C). At resonance, \(X_L = X_C\), the impedance is minimum (purely resistive), and the current is maximum for a series LCR circuit. A circuit with only L and R, or only C and R, or only L, or only C does not exhibit a resonance phenomenon where the reactance cancels out.
Step 3: Final Answer:
Resonance occurs in a circuit containing an inductor and a capacitor.
Resonance in an AC circuit occurs when the inductive reactance (\(X_L\)) equals the capacitive reactance (\(X_C\)).
Step 2: Detailed Explanation:
For resonance to occur, the circuit must contain both an inductor (L) and a capacitor (C). At resonance, \(X_L = X_C\), the impedance is minimum (purely resistive), and the current is maximum for a series LCR circuit. A circuit with only L and R, or only C and R, or only L, or only C does not exhibit a resonance phenomenon where the reactance cancels out.
Step 3: Final Answer:
Resonance occurs in a circuit containing an inductor and a capacitor.
Was this answer helpful?
0
0
Top KEAM Physics Questions
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- Two capillary tubes A and B of diameter $1\, mm$ and $2\, mm$ respectively are dipped vertically in a liquid. If the capillary rise in A is 6 cm, then the capillary rise in B is
- In the circuit given in figure, 1 and 2 are ammeters. Just after key K is pressed to complete the circuit, the reading will be
- A plate has a length $ 5\pm 0.1\text{ }cm $ and breadth $ 2\pm 0.01\text{ }cm $ . Then the area of the plate is:
View More Questions
Top KEAM LCR Circuit Questions
- The power factor of $LCR$ circuit at resonance is
- The impedance of a $ RC $ circuit is $ {{Z}_{1}} $ for frequency $ f $ and $ {{Z}_{2}} $ for frequency $ 2f $ . Then, $ {{Z}_{1}}/{{Z}_{2}} $ is
- Among vadous circuits coDstructed with rcsistor _R, inductor _L and capacitor C, the cicuit that gives maximum power dissipation is
- In an LCR series resonance circuit driven by the alternating voltage \( V = V_0 \sin \omega t \), inductance \( L = 1 \, \mu H \), capacitance \( C = 1 \, \mu F \) and resistance \( R = 1 \, k\Omega \). The resonant angular frequency (in rad/s) is:
- An alternating current having the peak value \( 10\sqrt{2}\,\text{A} \) is used to heat a metal wire. To produce the same heating effect, the constant current required is
View More Questions
Top KEAM Questions
- i.$\quad$ They help in respiration ii.$\quad$ They help in cell wall formation iii.$\quad$ They help in DNA replication iv. $\quad$They increase surface area of plasma membrane Which of the following prokaryotic structures has all the above roles?
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
- The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- If $\int e^{2x}f' \left(x\right)dx =g \left(x\right)$, then $ \int\left(e^{2x}f\left(x\right) + e^{2x} f' \left(x\right)\right)dx =$
View More Questions