The current at resonance in a series L-C-R circuit is applied olta

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
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Problem 19.
100 µA. If the applied voltage is 2 mV at a frequency of 200 kHz,
and the circuit inductance is 50 µH, find (a) the circuit resistance,
and (b) the circuit capacitance.
The current at resonance in a series L-C-R circuit is
(a) 1=100 µA = 100 x 10-6 A; V = 2 mV = 2 × 10-3 V
At resonance, impedance Z = resistance R
V.
2 x 106
Hence R
= 20 S
100 x 10³
(b) At resonance XL =Xc
1
i.e. 2n fL =
%3D
2nf C
Transcribed Image Text:Problem 19. 100 µA. If the applied voltage is 2 mV at a frequency of 200 kHz, and the circuit inductance is 50 µH, find (a) the circuit resistance, and (b) the circuit capacitance. The current at resonance in a series L-C-R circuit is (a) 1=100 µA = 100 x 10-6 A; V = 2 mV = 2 × 10-3 V At resonance, impedance Z = resistance R V. 2 x 106 Hence R = 20 S 100 x 10³ (b) At resonance XL =Xc 1 i.e. 2n fL = %3D 2nf C
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