Question

1) Consider the following circuit; ($\omega_d$ is the damped frequency) $V_s$ $C$ $R_s$ $L$ $a)$ $X_L = 250\Omega$ inductive reactance @ $\omega_d = 10 rad/sec$ $f_n \approx 1.838 Hz = f_0$ a) What is C? Find value b) What is the damping factor $\zeta$? Find value c) Plot the $S_1, S_2$ root locations in the complex plane. d) What is the capacitor's impedance at $f_n$? $V_0$ $b)$ $R_L$

          1) Consider the following circuit; ($\omega_d$ is the damped frequency)
$V_s$
$C$
$R_s$
$L$
$a)$
$X_L = 250\Omega$ inductive reactance @ $\omega_d = 10 rad/sec$
$f_n \approx 1.838 Hz = f_0$
a) What is C? Find value
b) What is the damping factor $\zeta$? Find value
c) Plot the $S_1, S_2$ root locations in the complex plane.
d) What is the capacitor's impedance at $f_n$?
$V_0$
$b)$
$R_L$

1) Consider the following circuit; ( is the damped frequency)
Vs
C
Rs
L
a)
XL = 250Ω inductive reactance @ = 10 rad/sec
fn ≈ 1.838 Hz = f0
a) What is C? Find value
b) What is the damping factor ζ? Find value
c) Plot the S1, S2 root locations in the complex plane.
d) What is the capacitor's impedance at fn?
V0
b)
RL

Added by Jennifer D.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hafiz Shahzaib

Step 1

838 Hz and L = Wo^2 / (Rs^2 + (wa)^2), we can rearrange the formula to solve for C: C = 1 / (4π^2f^2L) Substituting the given values, we get: C = 1 / (4π^2 * (1.838)^2 * L) b) Show more…

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Thanks for your feedback!

1) Consider the following circuit; (wa is the damped frequency) c Rs L Wo 0 Vo b) Vs fn = 1.838 Hz= fo a) What is C? Find value b) What is the damping factor / ? Find value c)F Plot the S1, S2 root locations in the complex plane. d) What is the capacitor's impedance at fn?