The state equations of the given RLC circuit are given in Equation below. R ww e(t) Element values R=n, L=H, C=;F. e(t) = cos 6(5t + L starting conditions iL(0) (a) Find state transition matrix (6(t, to)) (c) find the basic solution (d) Find the forced solution

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Q: The current in a second order source free series RLC circuit is given as iz(t) = e-40t . (B,cos(60t)…

A: Given  iL(t)=e-40t.(B1cos(60t)+B2sin(60t))

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A: The given circuit isR=1 Ω.C1=1 F.C2=2 F.Initial capacitor voltages are⇒VC1(0)=2 V.⇒VC2(0)=21 V.y(t)…

Q: Q2: For the RLC circuit shown below, Derive an expression for the transfer function vc(s) v(s) G(s)…

A: Q2: The circuit in frequency domain shown below: To calculate voltage across capacitor, apply…

Q: Circuits for DE We will be building 4 different circuits and determining voltage drop for each (very…

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Q: loop transfer function T(s) = C(s) State the nature of the unit step response of the system. R(s) 3…

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Q: for natural response RLC parallel circut , use intial conditons of v(0+) = 0 and iL = -12.25 mA , L…

A: As, given in the given question V (0+) =0 IL =-12.25mA and inductor L =8H and capacitance C =…

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Q: 1. An RLC circuit consists of a resistor, inductor, and a capacitor in series along with a battery…

A: Following is the differential equation for the harmonic oscillation-m d2xdt2+bdxdt+kx=0…

Q: It is known that G(s) and the closed-loop structure is shown below: R(s) (7 K(s+2) s(s + 1)(s + 4)'…

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Q: 4. Write the state space representation for the following transfer function R(s) 100 C(s) 54+20s3+…

A: Given: C(s)R(s)=100s4+20s3+10s2+7s+100

Q: 2 s? + 8s +15 G(s) = 3 S s'+ 7s² +14s + 8 onvert the TF to state equations 1 y = [15 8 1] x, 1 X, +|…

A: In this question we have to make SD for below function as example given above...

Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).