Out of the following graphs, which graph shows the correct relation for an LC parallel resonant circuit?
Show Hint
At resonance in an LC parallel circuit, the current is maximized, and the impedance is minimized. This is a characteristic behavior of resonant circuits.
Step 1: Understanding the behavior of an LC parallel resonant circuit.
In an LC parallel resonant circuit, the current reaches its maximum value when the impedance of the circuit is minimum at the resonant frequency. This occurs because the reactances of the inductor and capacitor cancel each other out, resulting in purely resistive behavior at resonance.
Step 2: Graph analysis.
- Option (A): This graph shows a maximum current but does not necessarily indicate a minimum impedance. This is not a correct representation of resonance in an LC circuit.
- Option (B): This graph shows a minimum current, which is incorrect for resonance.
- Option (C): Correct. This graph shows maximum current and minimum impedance at the resonant frequency, which is characteristic of an LC parallel resonant circuit.
- Option (D): This graph does not show the typical behavior of current and impedance in a resonant circuit.
Step 3: Conclusion.
Thus, the correct answer is (C), which correctly shows maximum current and minimum impedance at resonance.
