I OtsoT320nFIf V.(0) at t=0 is 15viL(0) at t=0 is 6mA12.5mHwww.i) Find numerical value of Rii) Find numerical value of i, di/dtiii) find V.(t) for t 20iv) Sketch Ve(t) for 0 ≤t≤ 200ms1052a) Find V(t), i (t)b) IfR is adjusted for critical damping withsame initial conditions

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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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Determine the current i(t) for t>0 of the inductor in the circuit. Consider zero initial conditions. Applying Kirchhoff's laws, state and show the differential equations of the circuit. Combining the previous differential equations obtain a single differential equation with respect to i(t), show and comment on the steps or procedures. Solve the differential equation to find i(t) 12 u(t) V 20 M i(t) 1 H 0.5 F 6 u(t) V
Electrical Circuits _ transient response
A sequential circuit with two FFs A & B , two inputs (XY) , and output Z has a state table given below, derive the next state equivalent of b(t+1)
5. The switch in the circuit has been closed for a long time, and is opened at -0. Find v(t) for t2 0. Calculate the initial energy stored in the capacitor? t = 0 32 12 20 V 9Ω 20 mF What is the time constant of this RC circuit, when does the circuit reach steady state?
a. Draw the step response of a second order system for different damping factors b. Calculate delay time and Peak time of the given second order underdamped system and mark it in the response graph(3 Marks) T(s)= s2+2s+4
In the circuit below, find the nonnegative value of R for critical damping. R + + v,(t)t L = 12 H C = 3 F
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In the figure below, the switch in the circuit has been closed for a long time. At t= 0, it opens. iL 2H t = 0 160 60 – Va + 20mF Ve 5V a) Redraw the circuit where Va is 15 V b) Find the following values: vc(0+ ), ic(0+ ), iL(0+ ), vL(0+ ), v.(∞), iL(∞) c) Indicate whether this circuit is overdamped or underdamped. Explain how you determined that. d) Find a new value for the capacitor that will make the system critically damped.
In the given circuit, where R = 1 ohm and and L=1H, solve for i(t) using convolution. The time-domain current source is(t) is given in the plot below. Hint: you can show your work graphically or state and solve a set of integrals to demonstrate convolution.
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If V.(0) at t=0 is 15v iL(0) at t=0 is 6mA a) Find V(t), i (t) b) If R is adjusted for critical damping with same initial conditions i) Find numerical value of R