A series RLC circuit is connected to an AC power source, as shown in the figure. Given that the voltage amplitude of the resistor VR - IR, where / is the current amplitude, and the voltage amplitude across the entire circuit Vtot - 1Z, where Z= + (wL - ? is the impedance of the circuit, determine the behavior of the ratio VR'Vtot as a function of the angular frequency o for the case when o > oo, where og - 2zfo Ưo is the natural, resonant frequency of the circuit). R OA « Vw. OB. a w. Oc a 1/Vw. OD. a 1/w?. OE. w. OF, « 1/w.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A series RLC circuit is connected to an AC power source, as shown in the figure. Given that the voltage amplitude of the resistor VR = IR, where I is the current amplitude, and the voltage amplitude across the entire circuit Vtot = IZ, where Z= R + (wL-
-)2 is the impedance of the circuit, determine the behavior of the
Cw
ratio VRIVtot as a function of the angular frequency w for the case when o » w0 , where wo = 2nfo (fo is the natural, resonant frequency of the circuit).
R
C
L
O A. x Vw.
O B. x w?.
OC. x 1/yw.
O D. o 1/w?.
Ο Ε. α ω.
O F. x 1/w.
Transcribed Image Text:A series RLC circuit is connected to an AC power source, as shown in the figure. Given that the voltage amplitude of the resistor VR = IR, where I is the current amplitude, and the voltage amplitude across the entire circuit Vtot = IZ, where Z= R + (wL- -)2 is the impedance of the circuit, determine the behavior of the Cw ratio VRIVtot as a function of the angular frequency w for the case when o » w0 , where wo = 2nfo (fo is the natural, resonant frequency of the circuit). R C L O A. x Vw. O B. x w?. OC. x 1/yw. O D. o 1/w?. Ο Ε. α ω. O F. x 1/w.
A series RLC circuit is connected to an AC power source. As shown in the figure R= 100 2, C= 80 nF, and L = 45 mH. The estimated natural resonant frequency for the circuit is
R = 100 N
C = 80 nF
L = 45 mH
O 7.5 x 10' Hz.
6.9 x 102 Hz.
O 2.6 x 10° Hz.
O none of the above.
1.2 x 10° Hz.
4.8 x 10° Hz.
3.5 x 10° Hz.
Transcribed Image Text:A series RLC circuit is connected to an AC power source. As shown in the figure R= 100 2, C= 80 nF, and L = 45 mH. The estimated natural resonant frequency for the circuit is R = 100 N C = 80 nF L = 45 mH O 7.5 x 10' Hz. 6.9 x 102 Hz. O 2.6 x 10° Hz. O none of the above. 1.2 x 10° Hz. 4.8 x 10° Hz. 3.5 x 10° Hz.
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