An RLC circuit such as that of Figure (a) has R = 6.99 2, C = 24.7 pF, L = 1.23 H, and Em = 44.2 V. (a) At what angular frequency wd 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 wdi and (d) higher angular frequency wd2 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?

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= 44.2 V. (a) At what angular frequency
An RLC circuit such as that of Figure (a) has R = 6.99 2, C = 24.7 µF, L = 1.23 H, and ɛm
wd 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 wdi and (d) higher angular frequency wd2 will the current amplitude be half this maximum value?
(e) What is (@d2 - wd1)/wd, the fractional half-width of the resonance curve for this circuit?
R
ll
(a)
R= 10 2
Xc> X1.
X1 > X¢
ent amplitude I
Transcribed Image Text:= 44.2 V. (a) At what angular frequency An RLC circuit such as that of Figure (a) has R = 6.99 2, C = 24.7 µF, L = 1.23 H, and ɛm wd 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 wdi and (d) higher angular frequency wd2 will the current amplitude be half this maximum value? (e) What is (@d2 - wd1)/wd, the fractional half-width of the resonance curve for this circuit? R ll (a) R= 10 2 Xc> X1. X1 > X¢ ent amplitude I
(a)
R= 10 2
Xc> X1.
Xµ > X¢
R=30 2
R= 100 2
0.90
0.95
1.00
1.05
1.10
(b)
(a) Number
Units rad/s
181
(b) Number
6.32
A
Units
(c) Number
Units
rad/s
140
(d) Number
Units rad/s
(e) Number
No units
Units
Current amplitude I
Transcribed Image Text:(a) R= 10 2 Xc> X1. Xµ > X¢ R=30 2 R= 100 2 0.90 0.95 1.00 1.05 1.10 (b) (a) Number Units rad/s 181 (b) Number 6.32 A Units (c) Number Units rad/s 140 (d) Number Units rad/s (e) Number No units Units Current amplitude I
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