Question
Download Solution PDFThe impedance at resonance offered by a parallel resonant circuit is _____.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFIn parallel resonant circuit, inductive reactance (XL) is equal to capacitive reactance (XC). The circuit becomes pure resistive.
At resonance XL = XC.
At parallel resonance, impedance becomes maximum.
At parallel resonance line current Ir = IL cos ϕ
\(\frac{V}{{{Z_r}}} = \frac{V}{{{Z_1}}}X\frac{R}{{{Z_1}}}or\frac{1}{{{Z_r}}} = \frac{R}{{Z_L^2}}\;\)
\(\frac{1}{{{Z_r}}} = \frac{{\frac{R}{L}}}{C} = \frac{{CR}}{L}\left( {as\;Z_L^2 = \frac{L}{C}} \right)\)
Therefore, the circuit impedance will be given as
\({Z_r} = \frac{L}{{CR}}\)Last updated on Jun 16, 2025
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