Question:

At resonance, the LC parallel resonant circuit

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At resonance, the branch currents of a parallel LC circuit cancel, so the line current is nearly zero.
Updated On: Nov 12, 2026
  • has zero impedance.
  • has a very high impedance.
  • has a very high current.
  • has a very low resistance.
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The Correct Option is B

Solution and Explanation

Step 1: Understanding the Concept
In a parallel LC circuit, the inductor and capacitor branch currents are \(180^{\circ}\) out of phase.

Step 2: At resonance
At resonance, \(X_{L}=X_{C}\), so these two currents are equal and cancel. The current drawn from the source is ideally zero.

Step 3: Impedance
Since the line current is almost zero for a given voltage, the impedance is very high (infinite for ideal components).

Final Answer:
The parallel LC circuit has a very high impedance at resonance. \[ \boxed{\text{(B) }\text{has a very high impedance}} \]
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