Draw the S-Domain of the following Circuit and also use nodal analysis to find vo( t ), t > 0, in the circuit given below

Q: 3. For a given transfer function of a (s²+12s+35)) (s+2)(s²+4s+5) system G(s) = 100- a) Find the…

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Q: 1. The step response of an RLC circuit is given by di di + 2 + 5i = 10 dr dt Given that i(0) = 6 and…

A: Given: The differential equation is d2idt2+2didt+5i=10 and i(0)=6 and di(0)dt=12

Q: Q3) For the circuit shown in Figure (2) below. Do as required: 1- Use Laplace transform to find i…

A: In this question we will find inductor current and inductor voltage and transfer function..

Q: 4 in 1 In 250mH -2 10V 1H

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Q: In the circuit, the switch has been open for a long time. Calculate the time-dependent equation of…

A: Given circuit is

Q: Transfer function of a system is shown below. 16 G(s) = - 4s + 8s + 16 a) Find natural frequency w,…

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Q: The step response of an RLC circuit is described by d²i di +2+ 5i = 10 dt dt? Given that i(0) =2 and…

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Q: The block diagram of a time-invariant linear continuous time system is given below. G1(s), G2(s) and…

A: In the question, The block diagram of a time-invariant linear continuous time system is given below.…

Q: For the following Second orden circuit shown below, ict Vo In Has a component values: R = 200 Ohms,…

A: In a parallel RLC second order circuit, the response of circuit depends on the value of “?” and…

Q: The value of the damping ratio (C) of a critically damped Second order system is OT 0-1 <1 0

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Q: 13.6 A 250 0 resistor is in series with an 80 mH inductor. This series combination is in parallel…

A: I am attaching detailed solution images of this question.

Q: For the circuit shown, if I(0-)=-4A, find the following 120 4u(1) V i(0") = -4 A The current i(t) in…

A: The circuit this is excited the use of alternating supply is referred to as an AC Circuit. The…

Q: Consider the following transfer functions 2s - 3 H,(s) = and H2 %3D s2 - 2s + 4 s2 + 4s +1 |…

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Q: For each of the three circuit elements shown in the time domain, draw the s-domain representation:…

A: In this question , RLC circuit elements is given...We have to convert time domain into s domain...

Q: For each of the second-order systems that follow, find damping ratio 7 , natural frequency @r, Ts,…

A: In the question,  Second order equation given  Find the damping ratio, natural frequency, peal time,…

Q: Consider a typical electrical circuit system shown in Figure 2. The circuit consisting of two…

A: Applying KCL,   i=i1+i2. Applying KVL in loops, -Vi+R1i+R2i1=0R1i+R2i1=Vi R1i1+i2+R2i1=Vi…

Q: Q3) For the circuit shown in Figure (2) below. Do as required: 1- Use Laplace transform to find i,…

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Q: The transform F(s) given below describes the response of a system to a unit step input: F(-) -s+5…

A: Given data, Frequency response is given as, Fs=-s+5ss+1s+4 For finding the time domain response…

Q: 430 Q4: The switch in the circuit shown has been in a position for a long time. At = 0 it moves…

A: Switch is at position a, for long time at t=0, it moved from a to b.At t&lt;0, switch is at…

Q: The first equation required to obtain the unknown constants in an RLC series network is always…

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Q: ) Find the initial conditions i(0-) and vc(0-) at t = 0- ) Redraw the circuit model in the s-domain…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: For the parallel RLC circuit shown below, find the response of iL(t) and Vc(t). Solve for t when the…

A: The solution is given below

Q: We want to find the capacitor current, iC, for the circuit . Thecircuit has no initial stored…

A: To find the current through the capacitor the circuit can be modified as  Thus the characteristic…

Q: What will be the state of damping of systems having the following transfer functions and subject to…

A: A second order system have four states of damping depending on the value of damping ratio. There are…

Q: Determine whether the system defined by the following transfer functions are stable or not. Use…

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Q: 2. Determine the step response of the given parallel RLC circuit below that is for vc(t) at t 2 0…

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Q: For the following circuit the initial condition of the capacitor is vc(0) = 0V. Solve for vc(t) for…

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Q: The following is known about x[n] and its z-transform X(z): x[n] is a real-valued, positive-time…

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Q: Transform the circuit in s-domain and then find the voltage across the capacitor, given that the…

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Q: The switch in the circuit below has been in open position for a long time. At t-0, the switch is…

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Q: The following is known about x[n] and its z-transform X(z): x[n] is a real-valued, positive-time…

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Q: Find h(t) Let H(s) = 1 S²(S-a) (use Couvolution theorem)

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Q: 23 Consider the transfer function: G(s) = 2s(4+2s) 4 H(s) = %3D 3s(3s – s²)+4 6+4s -S Using MATLAB…

A: The closed-loop transfer function can be calculated by using the open-loop transfer function and…

Q: The following is known about x[n] and its z-transform X(z): • x[n] is a real-valued, positive-time…

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Q: ks] Consider the circuit below with the values of the elements as indicated. Find the following: 2F…

A: This problem comes under electrical circuit theory . It is based on the concept of conversion of…

Q: If step response of a system is given as c(t)=Ae- +Be (where A and B are constants) „then the O…

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Q: Step-1: The first step in constructing a root-locus plot is to locate the open- loop poles and zeros…

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Q: Find the second Foster form and the first Cauer form of the network whose driving-point admittance…

A: By taking partial fraction expansion, we getBy applying the Heaviside method, we get Therefore, the…

Q: a) The RC circuit is shown in Figure with V,(t) as the input and i(t) as the output. Determine the…

A: We need to zero state response .

Q: iii- The second order system defined by the transfer function 36 C(s) / R(s) is given a unit step…

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Q: Find the Laplace impedance of an RLC all connected in parallel having a value of 2Ω, 2H, & o.5F…

A: Given: A parallel RLC circuit having R=2 ΩL=2 HC=0.5 F

Q: Let Y(s) be the unit-step response of a causal system, having a transfer function 3-s (s + 1)(S+ 3)…

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Q: t = 0 4Ω + 0.02 F = 6Ω 10 V 0.5H +1)

A: At t=0 the switch is closed. Before closing the switch the circuit will be in steady state. In…

Q: For the following circuit the initial conditions for the inductor and capacitor are 1(0-)= 3A and…

A: First draw the circuit in domain and apply KVL in loop  to write the differential equation defining…

Q: a.) What is the Thevenin Impedance as seen by the 1 ohm resistor? b.) Working in the s-domain, what…

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Q: The circuit shown has an overdamped response. If C= 1/16 F, then the range of R leading to this…

A: Find as below

Q: A second order differential equation is given by dx +5 + 9x = 9y. dt? dt The damping ratio is (a) 5…

A: Transfer function is ratio of output signal to input signal. It is the given as ratio of Laplace…

Q: For the circuit shown, find i(t) for t> 0. Hint: The circuit can be converted into an equivalent…

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Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).