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An RLC circuit such as that of Figure (a) has R = 5.65 QQ, C = 19.7 µF, L = 1.34 H, and &m = 35.2 V. (a) At what angular frequency w will the current amplitude have its maximum value, as in the resonance curves of Figure (b)? (b) What is this maximum value? At what (c) lower angular frequency Wd1 and (d) higher angular frequency wa2 will the current amplitude be half this maximum value? (e) What is (wd2- Wd1)/Wd, the fractional half-width of the resonance curve for this circuit? Current amplitude I L 000 (a) R R= 10 Ω Xc> XL XL> Xc R = 30 Ω R= 100 Q 0.90 0.95 1.00 1.05 1.10 wa/w0

An RLC circuit such as that of Figure (a) has R = 5.65 QQ, C = 19.7 µF, L = 1.34 H, and &m = 35.2 V. (a) At what angular frequency w will the current amplitude have its maximum value, as in the resonance curves of Figure (b)? (b) What is this maximum value? At what (c) lower angular frequency Wd1 and (d) higher angular frequency wa2 will the current amplitude be half this maximum value? (e) What is (wd2- Wd1)/Wd, the fractional half-width of the resonance curve for this circuit? Current amplitude I L 000 (a) R R= 10 Ω Xc> XL XL> Xc R = 30 Ω R= 100 Q 0.90 0.95 1.00 1.05 1.10 wa/w0

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter33: Inductors And Ac Circuits
Section: Chapter Questions
Problem 57PQ
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An RLC circuit such as that of Figure (a) has R = 5.65 QQ, C = 19.7 µF, L = 1.34 H, and &m = 35.2 V. (a) At what angular frequency w will the current amplitude have its maximum value, as in the resonance curves of Figure (b)? (b) What is this maximum value? At what (c) lower angular frequency Wd1 and (d) higher angular frequency wa2 will the current amplitude be half this maximum value? (e) What is (wd2- Wd1)/Wd, the fractional half-width of the resonance curve for this circuit? Current amplitude I L 000 (a) R R= 10 Ω Xc> XL XL> Xc R = 30 Ω R= 100 Q 0.90 0.95 1.00 1.05 1.10 wa/w0
Transcribed Image Text:An RLC circuit such as that of Figure (a) has R = 5.65 QQ, C = 19.7 µF, L = 1.34 H, and &m = 35.2 V. (a) At what angular frequency w will the current amplitude have its maximum value, as in the resonance curves of Figure (b)? (b) What is this maximum value? At what (c) lower angular frequency Wd1 and (d) higher angular frequency wa2 will the current amplitude be half this maximum value? (e) What is (wd2- Wd1)/Wd, the fractional half-width of the resonance curve for this circuit? Current amplitude I L 000 (a) R R= 10 Ω Xc> XL XL> Xc R = 30 Ω R= 100 Q 0.90 0.95 1.00 1.05 1.10 wa/w0
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