Question:
Out of the following graphs, the correct graphical relation for LC parallel resonant circuit at resonance is
Out of the following graphs, the correct graphical relation for LC parallel resonant circuit at resonance is
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At resonance in a parallel LC circuit the impedance is maximum, so the line current is minimum.
Updated On: Nov 13, 2026
D
C
B
A
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept
In a parallel LC circuit the inductor and capacitor branch currents are opposite in phase. At resonance \(X_L = X_C\) and these currents nearly cancel.
Step 2: Effect on Line Current
The current drawn from the source is minimum and the impedance is maximum at resonant frequency \(F_r\).
Step 3: Read the Graphs
Graph A shows impedance with a minimum, graph B shows current with a maximum, and graph C shows constant impedance. These do not suit a parallel LC circuit. Graph D shows current with a minimum at \(F_r\).
Step 4: Result
Graph D is correct, which is option A as listed.
Final Answer:
The graph showing minimum current at the resonant frequency is correct. \[ \boxed{\text{(A) }\text{graph D (current minimum at } F_r\text{)}} \]
In a parallel LC circuit the inductor and capacitor branch currents are opposite in phase. At resonance \(X_L = X_C\) and these currents nearly cancel.
Step 2: Effect on Line Current
The current drawn from the source is minimum and the impedance is maximum at resonant frequency \(F_r\).
Step 3: Read the Graphs
Graph A shows impedance with a minimum, graph B shows current with a maximum, and graph C shows constant impedance. These do not suit a parallel LC circuit. Graph D shows current with a minimum at \(F_r\).
Step 4: Result
Graph D is correct, which is option A as listed.
Final Answer:
The graph showing minimum current at the resonant frequency is correct. \[ \boxed{\text{(A) }\text{graph D (current minimum at } F_r\text{)}} \]
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