For a series RLC resonant circuit, which one of the following

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For a series RLC resonant circuit, which one of the following gives the impedance at the lower and upper half power frequencies, respectively?

1. √2 R ∠ 45°; √2 R ∠ – 45°
2. 1 R = ∠ – 45°; 1 R = ∠ – 45°;
  √2 √2
3. R ∠ 45°; R ∠ – 45°
4. √2R ∠ 45°; √2R ∠ 45°

Correct Option: B

For a series RLC circuit, at lower half frequency current is 1/2 times and leading in nature whereas at upper half frequency current is 1/2 times and lagging in nature.

	1		R = ∠ – 45°;		1		R = ∠ – 45°;
	√2				√2