We are building a radio receiver that is designed to have a low impedance at a specific frequency 1.4 Megahertz (or omega = 8796459.43005 radians/second). We have nanoFarad (10^{-9) F) capacitors and 10 nanoFarad (10^{-8} F) capacitors available. We will choose a capacitor and an inductor and place them in series to make (this part of) the circuit. What size inductor should we use if we choose the nanoFarad capacitor? What size inductor should we use if we choose the 10 nanoFarad capacitor? H H The circuit operates at resonance for both these choices, so we need to use another criterion to determine which LC combination to use. Let's use the total (L + C) reactance at other frequencies (we want this reactance to be high at frequencies away from the frequency we have tuned to). If we move 10% higher in frequency (omega = 9676105.37306), what is the reactance for the LC combination with the nanoFarad capacitor? Ohms and what is the reactance for the LC combination with the 10 nanoFarad capacitor? Ohms
We are building a radio receiver that is designed to have a low impedance at a specific frequency 1.4 Megahertz (or omega = 8796459.43005 radians/second). We have nanoFarad (10^{-9) F) capacitors and 10 nanoFarad (10^{-8} F) capacitors available. We will choose a capacitor and an inductor and place them in series to make (this part of) the circuit. What size inductor should we use if we choose the nanoFarad capacitor? What size inductor should we use if we choose the 10 nanoFarad capacitor? H H The circuit operates at resonance for both these choices, so we need to use another criterion to determine which LC combination to use. Let's use the total (L + C) reactance at other frequencies (we want this reactance to be high at frequencies away from the frequency we have tuned to). If we move 10% higher in frequency (omega = 9676105.37306), what is the reactance for the LC combination with the nanoFarad capacitor? Ohms and what is the reactance for the LC combination with the 10 nanoFarad capacitor? Ohms
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Transcribed Image Text:We are building a radio receiver that is designed to have a low impedance at a specific frequency 1.4 Megahertz (or omega = 8796459.43005 radians/second). We have nanoFarad (10^{-9} F) capacitors and 10
nanoFarad (10^{-8} F) capacitors available. We will choose a capacitor and an inductor and place them in series to make (this part of) the circuit.
What size inductor should we use if we choose the nanoFarad capacitor?
What size inductor should we use if we choose the 10 nanoFarad capacitor?
H
H
The circuit operates at resonance for both these choices, so we need to use another criterion to determine which LC combination to use. Let's use the total (L + C) reactance at other frequencies (we want this
reactance to be high at frequencies away from the frequency we have tuned to). If we move 10% higher in frequency (omega = 9676105.37306), what is the reactance for the LC combination with the nanoFarad
capacitor?
Ohms
and what is the reactance for the LC combination with the 10 nanoFarad capacitor?
Ohms
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