Problem 19. The current at resonance 100 μA. If the in a series L-C-R circuit is 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.

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Problem 19. The current at resonance in a series L-C-R circuit is
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.
(a) 1=100 µA
= 100 x 10-6 A; V = 2 mV=2 × 10-3 V
At resonance, impedance Z = resistance R
2 x 10°
Hence R=
=20 2
100 x 10
(b) At resonance XL =Xc
i.e. 27 L=
27/C
Transcribed Image Text:Problem 19. The current at resonance in a series L-C-R circuit is 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. (a) 1=100 µA = 100 x 10-6 A; V = 2 mV=2 × 10-3 V At resonance, impedance Z = resistance R 2 x 10° Hence R= =20 2 100 x 10 (b) At resonance XL =Xc i.e. 27 L= 27/C
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