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le 45 An RLC circuit such as that of Fig. 31-7 has R Fig. 31-7 A single-loop circuit 5.00 n. C= 20.0 uF, L = 1.00 H, and E- 30.0 V. (a) At containing a resistor, a capacitor, what angular frequency a, will the current amplitude have its and an inductor. A generator, rep- maximum value, as in the resonance curves of Fig. 31-13? (b) resented by a sine wave in a circle, What is this maximum value? At what (c) lower angular fre- produces an alternating emf that es- quency and (d) higher angular frequency n will the cur- rent amplitude be half this maximum value? (e) What is directions of the emf and current (n- )lo, the fractional half-width of the resonance curve for this circuit? sSM www tablishes an alternating current; the are indicated here at only one in- stant.

le 45 An RLC circuit such as that of Fig. 31-7 has R Fig. 31-7 A single-loop circuit 5.00 n. C= 20.0 uF, L = 1.00 H, and E- 30.0 V. (a) At containing a resistor, a capacitor, what angular frequency a, will the current amplitude have its and an inductor. A generator, rep- maximum value, as in the resonance curves of Fig. 31-13? (b) resented by a sine wave in a circle, What is this maximum value? At what (c) lower angular fre- produces an alternating emf that es- quency and (d) higher angular frequency n will the cur- rent amplitude be half this maximum value? (e) What is directions of the emf and current (n- )lo, the fractional half-width of the resonance curve for this circuit? sSM www tablishes an alternating current; the are indicated here at only one in- stant.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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R ll Fig. 31-7 A single-loop circuit *45 An RLC circuit such as that of Fig. 31-7 has R= 5.00 N, C = 20.0 µF, L = 1.00 H, and E 30.0 V. (a) At containing a resistor, a capacitor, what angular frequency w, will the current amplitude have its and an inductor. A generator, rep- maximum value, as in the resonance curves of Fig. 31-13? (b) resented by a sine wave in a circle, What is this maximum value? At what (c) lower angular fre- produces an alternating emf that es- quency wn and (d) higher angular frequency wn will the cur- rent amplitude be half this maximum value? (e) What is directions of the emf and current (n-w2)/o, the fractional half-width of the resonance curve for this circuit? sSM www tablishes an alternating current: the are indicated here at only one in- stant.
Transcribed Image Text:R ll Fig. 31-7 A single-loop circuit *45 An RLC circuit such as that of Fig. 31-7 has R= 5.00 N, C = 20.0 µF, L = 1.00 H, and E 30.0 V. (a) At containing a resistor, a capacitor, what angular frequency w, will the current amplitude have its and an inductor. A generator, rep- maximum value, as in the resonance curves of Fig. 31-13? (b) resented by a sine wave in a circle, What is this maximum value? At what (c) lower angular fre- produces an alternating emf that es- quency wn and (d) higher angular frequency wn will the cur- rent amplitude be half this maximum value? (e) What is directions of the emf and current (n-w2)/o, the fractional half-width of the resonance curve for this circuit? sSM www tablishes an alternating current: the are indicated here at only one in- stant.
R=10 2 Fig. 31-13 Resonance curves for the driven RLC circuit of Fig. 31-7 with L= 100 µH, C = 100 pF, and three values of R. The current amplitude I of the alternating current depends on how close the driving angular frequency w, is to the natural angular frequency w. The horizontal arrow on each curve measures the curve's half-width, which is the width at the half-maxi- mum level and is a measure of the sharpness of the resonance. To the left of lw = 1.00, the circuit is mainly capacitive, with Xc > X; to the right, it is mainly inductive, with X > Xc X > Xị X > Xe R= 30 2 R- 100N 0.90 0.95 1.00 1.05 1.10 Current amplitude /
Transcribed Image Text:R=10 2 Fig. 31-13 Resonance curves for the driven RLC circuit of Fig. 31-7 with L= 100 µH, C = 100 pF, and three values of R. The current amplitude I of the alternating current depends on how close the driving angular frequency w, is to the natural angular frequency w. The horizontal arrow on each curve measures the curve's half-width, which is the width at the half-maxi- mum level and is a measure of the sharpness of the resonance. To the left of lw = 1.00, the circuit is mainly capacitive, with Xc > X; to the right, it is mainly inductive, with X > Xc X > Xị X > Xe R= 30 2 R- 100N 0.90 0.95 1.00 1.05 1.10 Current amplitude /
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