C www -10t O (2.5+150t) e (V) O (12+576t) e (V) -10t O (28 +6100t) e e-10 The RLC circuit is known to have a critically damped response, with the unknown resistance value x. Given that v(0) = x and i₁(0) = -18. Determine the natural response solution for v(t). (V) -10t O (0.45 +3.45t) e (V) -10t O (8+620t) e (V) 1 H O (5+1750t) e (V) -10t + V ic 10 mF

C www -10t O (2.5+150t) e (V) O (12+576t) e (V) -10t O (28 +6100t) e e-10 The RLC circuit is known to have a critically damped response, with the unknown resistance value x. Given that v(0) = x and i₁(0) = -18. Determine the natural response solution for v(t). (V) -10t O (0.45 +3.45t) e (V) -10t O (8+620t) e (V) 1 H O (5+1750t) e (V) -10t + V ic 10 mF

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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In typical conventional aircraft, longitudinal flight model linearization results in transfer functions with two pairs of complex conjugate poles. Consequently, the natural response for these airplanes has two modes in their natural response. The "short period" mode is relatively well-damped and has a high-frequency oscillation. The "phugoid mode" is lightly damped and its oscillation frequency is relatively low. For example, in a specific aircraft the transfer function from wing elevator deflection to nose angle (angle of attack) is e (s) 26.12(s + 0.0098)(s + 1.371) 8,(s) (s? + 8.99 x 10-3s + 3.97 x 10-3)(s? + 4.21s + 18.23) Which pair of poles causes the phugoid mode? Which pair causes the short mode? Determine the damping ratios and natural frequencies for each mode. a b Characterize the step response of this system. Decompose the response into the short mode response and phugoid mode response. Comment on each, and its relation to the location of the poles.
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A particular circuit built with one resistor and one capacitor in series allows high frequency source voltage sine waves to be transmitted as the output essentially unchanged. Any low frequency source voltage sine waves are “killed”; the output is very small, essentially zero. Design this circuit: draw the circuit and explain whether you measure output over the resistor or capacitor, and why. You do not need to choose values of R and C.
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