Question 5 (a) A coil of resistance R and inductance L is connected in parallel with a capacitor of capacitance C. Show that the resonant frequency is given by: 1 1 R? fo 2n LC L2

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Question 5
(a)
A coil of resistance R and inductance L is connected in parallel with a capacitor
of capacitance C.
Show that the resonant frequency is given by:
1 1 R?
fo
2n LC L2
(b)
A coil of inductance 100 mH and resistance 800 Q is connected in parallel with a
variable capacitor across a 12 V, 5 kHz supply. Determine the following for the
condition when the supply current is a minimum:
(i)
the capacitance of the capacitor,
the dynamic resistance,
(iii) the supply current, and
the Q-factor.
(ii)
(iv)
Transcribed Image Text:Question 5 (a) A coil of resistance R and inductance L is connected in parallel with a capacitor of capacitance C. Show that the resonant frequency is given by: 1 1 R? fo 2n LC L2 (b) A coil of inductance 100 mH and resistance 800 Q is connected in parallel with a variable capacitor across a 12 V, 5 kHz supply. Determine the following for the condition when the supply current is a minimum: (i) the capacitance of the capacitor, the dynamic resistance, (iii) the supply current, and the Q-factor. (ii) (iv)
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