Question

(a) Determine the resonant frequency $f_0$, quality factor Q, band-width B and half-power frequencies $f_1$ and $f_2$ (5pts). Show all work. (b) Assuming that the frequency of the source is the same as the resonant frequency, find the voltages $V_R$, $V_L$ and $V_C$ in both phasor form and in the time domain (15pts). Show all work. $L = 159.2 \text{ mH}$ $V_s = 1 \angle 0^\circ$ $C = 0.1592 \text{ }\mu F$ $R = 100 \text{ }\Omega$

          (a) Determine the resonant frequency $f_0$, quality factor Q, band-width B and half-power frequencies $f_1$ and $f_2$ (5pts). Show all work.
(b) Assuming that the frequency of the source is the same as the resonant frequency, find the voltages $V_R$, $V_L$ and $V_C$ in both phasor form and in the time domain (15pts). Show all work.
$L = 159.2 \text{ mH}$
$V_s = 1 \angle 0^\circ$
$C = 0.1592 \text{ }\mu F$
$R = 100 \text{ }\Omega$

(a) Determine the resonant frequency f0, quality factor Q, band-width B and half-power frequencies f1 and f2 (5pts). Show all work.
(b) Assuming that the frequency of the source is the same as the resonant frequency, find the voltages VR, VL and VC in both phasor form and in the time domain (15pts). Show all work.
L = 159.2 mH
Vs = 1 ∠ 0^∘
C = 0.1592 μ F
R = 100 Ω

Added by Kent B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Donald Albin

07/06/2020

Step 1

2 mH and C = 0.1592 F, we can substitute these values into the formula: f = 1 / (2π√(159.2 mH * 0.1592 F)) f ≈ 1 / (2π√(0.0254 H * 0.1592 F)) f ≈ 1 / (2π√(0.00404848 H * 0.1592 F)) f ≈ 1 / (2π√(0.000645 H * 0.1592 F)) f ≈ 1 / (2π√(0.0001029 H * 0.1592 F)) f ≈ Show more…

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(a) Determine the resonant frequency f, quality factor Q, bandwidth B, and half-power frequencies f1 and f2. Show all work. (b) Assuming that the frequency of the source is the same as the resonant frequency, find the voltages VR, V, and Vc in both phasor form and in the time domain. Show all work. L = 159.2 mH R = 100 Î© V = 1 V Vc = ? C = 0.1592 F