Q2Referring to the circuit in Figure Q1(b).t = 04.5 A20 Q10 H4 mFFigure Q1(b)(i)Find the value of v(0) and dr(0)dt(ii)Calculate the roots of the characteristic of the circuit.(iii)Determine v(t) for t > 0.all

Part c: Case 1: For t = 0-, The circuit is under steady-state condition. It is known that the…

Answered: Q2 Referring to the circuit in Figure…

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 the circuit shown in the figure, after the switch is kept in position a for a long time, it is brought to the b position at t = 0. Since I1 = 12 Amp, R = 10000ohm, C = 0.025Farad, L = 20 Henry, find the expressions given below. I(s)=? i(t)=?
There is no energy stored in the circuit in shown at the time the switch is opened. 1. Derive the differential equation that governs the behavior of i2 if L1=5 H, L2=0.2 H, M=0.5 H, and Ro=10 Ω. 2. Show that when ig=e−10t−10 A, t≥0, the differential equation derived in (a) is satisfied when i2=625e−10t−250e−50t mA, t≥0. 3. Find the expression for the voltage v1 across the current source. 4. What is the initial value of v1? Does this make sense in terms of known circuit behavior?
Consider the circuit shown below. Assume that the current in the independent current source is given by, i_{s}(t)=2(u(t-0.5)-u(t-1)) Where,u(t) is the unit step function. (a) Derive the expression representing the current in the resistor R4. For all t, 0≤ t. Find this expression as a function of time t. (b) Find the value of ix as well.Thank you in advance.
The circuit was in DC steady state for t < 0. At t = 0, the switch is opened instantly. The remaining circuit quantities may change instantaneously as required by Kirchhoff's rules. Calculate I1 ,I2 and I3 in amps immediately after the switch ( t = 0 +), in that order. (All currents in this and the following two should be positive.) Finally, calculate Q in uC.
Q2 \ The reproduction of cells in a bacterial colony is important for many environmental engineering applications such as wastewater treatments. The formula log(N) = log(N0) + t / T log(2) can be used to simulate this, where N0 is the original population, N is the population at time t, and T is the time it takes for the population to double. Using VB.net, write a program to calculate the value of T.
In the circuit shown, the switch is inthe closed position for a long timebefore it opens at time ? = 0.A. Find the differentialequation satisfied by the outputvoltage, v0(t) for t> 0. B. the initial conditions for this circuit are: v0(0+) = 0 and dv0/dt(0+) =−30,000 V/s. .findv0(t) for t > 0.
The electrical model of a biopotential electrode is given belowwith the given values. (a)Plot the absolute impedance of this electrode(i.e.,|Z|) with respect to the frequency using a python script and (b) discuss the frequency range to reachthe minimum absolute impedance value on this electrode. Rd:26 kΩ Rs: 6 kΩ
In the circuit given below, the switch is closed at t <0 and the system works continuously. At t-0 the switch is opened, calculate the value of the voltage (Va) of point a at t = 1 ms.
a) Obtain the expression of v0 (t), for all t> 0, for the network of the figure shown: b) Without applying the step-by-step method and with the result obtained above, find the expression for the voltage across the inductor, for all t> 0.
The circuit shown in Figure-2 is at steady state before the switch closes at time t = 0. The input to the circuit is the voltage of the voltage source, 12 V. The output of this circuit is the voltage across the capacitor, v(t). -Use Matlab Simscape Electrical to build and plot the output, v(t), as a function of t (by using scope). Use the plot to obtain an analytic representation of v(t) for t > 0. Hint: We expect v(t) = A + Be–t/τ for t > 0, where A, B, and τ are constants to be determined. Modify the circuit given in this example (build figure-2) https://www.mathworks.com/help/physmod/simscape/ug/operating-point-rlc-transient-response.html You will obtain a graph as figure 2-b and by using graph and substituting three ‘t’ values to v(t) then you can find A, B and τ.
Consider the circuit shown in the figure, with ε=36.0V,R0=50.0Ω,R=150Ω andL=4.00H. (a) Switch S1 is closed. Just after S1 is closed, what are the current i0 through R0 andthe potential differences VAC and VCB? (b) After S1 has been closed a long time so that the current has reached its final, steadyvalue, what are i0 , VAC and VCB? (c) Find the expressions for i0 , VAC and VCB as functions of time since S1 was closed.Do your results agree with what you get in (a) and (b) ? Graph i0 , VAC and VCB as afunction of time.
Q2. For the RL circuit, shown in figure (1), the switch has been in position “a” for a long time, before switching to position “b”, at t = 0. Find a) a time-expression for the current through the inductor, i(t), for t > 0, b) the values of v(0- ), v(0+ ), and v(∞), and c) the powers dissipated in the 3-Ω resistor, at t = 3 ms.

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Q2 Referring to the circuit in Figure Q1(b). t = 0 4.5 A 20 Q 10 H 4 mF Figure Q1(b) (i) Find the value of v(0) and dr(0) dt (ii) Calculate the roots of the characteristic of the circuit. (iii) Determine v(t) for t > 0. all