Problem 3: Obtain time-domain mathematical model of the following circuit.

Q: The second order system response for the step input is given by 3.5 3 The damping ratio () of the…

A: Given response is -

Q: Write the state equations for the circuit in below. C2 R1 e(t) R1

A:

Q: -2 1 2 t ketch and label the following signal. xC) = 2x(-들-4)

A:

Q: (b) An RL circuit has emf of 110 volts, a resistance of 550 ohms, an induction of 4 henrys. Find the…

A: From the first order series R L circuit

Q: Q3: The unit step response of a first order system reaches 10% of its final value in 2 second. What…

A: The unit step response for a first order system is given by, Final value of the response is given…

Q: iework2: A second-order series RLC circuit, shown in Figure below, has some damping due to the…

A:

Q: A mathematical model is presented to you in a form of a function as shown below; convert this model…

A: It is given that: YsUs=1s2+s+1

Q: 1.20 Generate plots for each of the following step- function waveforms over the time span from −5 s…

A: Given three signals with different subsignalsasked to plot in the time frame of -5s to 5s

Q: 1. The following network is an AC Steady-state circuit. Find the vi (t) and i(t) R= 30 X, = 4 0

A: The solution can be achieved as follows.

Q: Homeworkl: A second-order series RLC circuit, shown in Figure below, has some damping due to the…

A: For Series RLC circuit, Using kVL, vR+vL+vC=vi  ..........(1)Current flowing through…

Q: Give all the steps needed to solve RL circuits using the differential equation approach

A: Find all the steps needed to solve RL circuits using differential equation approach.

Q: Q3: The unit step response of a first order system reaches 20% of its final value in 4 second. What…

A: Step response of a first order system is generalized by the differential equation:

Q: a series circuit consisting of a resistance r an inductor l and a capacitor c, is connected to a…

A: We will apply KVL in loop to find diffrential equation relating current in RLC series circuit.…

Q: 1- Create circuit the 2nd order circuit using with 2 capacitors and 2 resistors. Following the state…

A:

Q: True Fuels If the damping factor is zero, the unit-step response is a Purely sinusoidal. The steady…

A: Need to find true or false

Q: 21. The time constant of an RL circuit is the time when the current          reaches to what percent…

A: The RL circuit, and in this question we need to calculate the the value of current in  percentage at…

Q: (A+B+C')(A+B+D)(A+B+E)(A+D'+E)(A'+C) solve the given equation

A:

Q: Reduce the following block diagrams using the block diagram reduction method

A:

Q: 1- Explain the effect of increasing and decreasing of resistor's value on series and parallel RLC…

A: We need to explain the effect of increasing and decreasing of resistor's value on series and…

Q: Question 1: Simplify the block diagram, calculate the steady-state error of the block, draw the…

A: The block diagram of the system is:

Q: b) If R=350, L=2H,what value of C will make an RLC series circuit i. Critically damped Overdamped…

A:

Q: Q.3) Find the solution of the following differential equation: dy y+ a dr

A: Homogenous Differential Equation- A differential equation of first order and first degree is said to…

Q: n the following circuit below, at t = 0 the switch closes: R₁ ww R3 ww + Vs Vs = 18V Xt=0 m R₂ R₁ =…

A: The given circuit isWe need to determine the output voltage, vo(t) using differential equation…

Q: R M i(t) 10 His L Vo C v(t)

A: Given Data:A series RLC circuit with,The passive elements The initial capacitor voltage To Find:The…

Q: " - calculate the energy in the signal f(t) e across the (12) resistance both in time domain and…

A:

Q: An RL circuit has an emf of 5V, a resistance of 50Ω, an inductance of 1 H and no initial current.…

A:

Q: *ン Find the input-output differential equation for the circuit shown in the figure. C2 C1 R2 R1 +…

A:

Q: (2x?t – 2x³)dt + (4x³ – 6x²t + 2xt²)dx = 0

A:

Q: Q4) Design an RLC parallel circuit whose output is a pure sinusoidal, and write the mathematical…

A: Parallel RLC will behave as the resistive circuit at the resonance frequency. At the resonance…

Q: Part C: Transient Response of Series RLC Circuits 1. a) +VR- +VL- 502 L=0.1H R + Function Generator…

A: For critical damping the damping ratio G must be equal to 1.

Q: For the circuit illustrated in Figure Q3, determine the state space representation* = Ax + Bu and y…

A:

Q: please answer completely and accurately.

A: Brief description: For the above given question we need to write characteristics of undamped and…

Q: The' Transfer Fcn'block can be extracted from 'Commonly Used Blocks' library. If the dumping ratio…

A:

Q: 2. The circuit shown in Figure-2 is at steady state before the switch closes at time t= 0. The input…

A:

Q: Reduce the given block diagram in figure Q5 and determine the overall ransfer function, G. R(S) E(S)…

A:

Q: Homework3: A second-order series RLC circuit, shown in Figure below, has some damping due to the…

A: Parameters Damping Factor     (α)=R2L Natural Frequency (w)=1LC…

Q: The image attached shows a series RL circuit with another image for the applied voltage.  Values for…

A: Step 1:Step 2:

Q: 3) The circuit below shows resistors, inductors and capacitors, connected in series and in parallel.…

A: Given Data:An RLC circuit with,AC supply voltage Supply frequency Resistors Inductors Capacitor To…

Q: when there is in a circuit both of the inductor and the capapcitor, why no need for the inital…

A: When an inductor and a capacitor are connected in series, the inductor acts as a short circuit,…

Q: lomework3: A second-order series RLC circuit, shown in Figure below, has some damping due to the…

A: The order of a system can be determined from the highest power of s appearing in the denominator of…

Q: For the system shown in Figure 5, use MATLAB to find the following: a) The system type b) K, K., and…

A: The given system block diagram is shown below,

Q: Suppose that you have a series RLC circuit with driving input signal vin (t) and output Vout(t). The…

A:

Q: Model the dynamic behavior of this circuit for loop 1 (obtain differential equation) R₁ 1 ееее R₂ 2…

A: A circuit contain two loop is given in the problem. Resistance of the circuits are R1 and R2.…

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).