An airport has a radar transmitter that contains an LC circuit oscillating at 3.90 x 109 Hz. (a) For a one-turn loop having an inductance of 440 pH to resonate at this frequency, what capacitance (in pF) is required in series with the loop? pF (b) The capacitor has square, parallel plates separated by 1.60 mm of air. What should the edge length of the plates be (in mm)? mm (c) What is the common reactance (in 2) of the loop and capacitor at resonance? Ω

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An airport has a radar transmitter that contains an LC circuit oscillating at 3.90 x 109 Hz.
(a) For a one-turn loop having an inductance of 440 pH to resonate at this frequency, what capacitance (in pF) is required in
series with the loop?
pF
(b) The capacitor has square, parallel plates separated by 1.60 mm of air. What should the edge length of the plates be (in
mm)?
mm
(c) What is the common reactance (in 2) of the loop and capacitor at resonance?
Ω
Transcribed Image Text:An airport has a radar transmitter that contains an LC circuit oscillating at 3.90 x 109 Hz. (a) For a one-turn loop having an inductance of 440 pH to resonate at this frequency, what capacitance (in pF) is required in series with the loop? pF (b) The capacitor has square, parallel plates separated by 1.60 mm of air. What should the edge length of the plates be (in mm)? mm (c) What is the common reactance (in 2) of the loop and capacitor at resonance? Ω
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