1. Find the state equations and output equation for a parallel RL C circuit driven by...
Problem 1 (Problem Solving Workshop 1) For a parallel RL circuit R-10, L 1H Determine 1) 21 3) 4) The transfer function H(s) = (s), the pole-zero map, and the step response. Let L(0) - OA The state and output equations. Let Lt) be the state variable The block diagram of this system. Let (O) = -1 The response (t) due to a step input (t) = (t) A) using a known software. Problem #2 (Problem Solving Workshop 1) For...
For each form show both state space equation and signal flow graph. Can you also include the Matlab code Problem 2. The system is given by its phase variable form state space equations 0 1 0 x(t) = | |x(t) + r(t) 0 -48-44 -12 0 y(t) 7 30lx(t) a) Find the transfer function of the system, and represent the system in cascade, parallel, controller-canonical, and observer-canonical forms. For each form show both state space equations and signal-flow graph. Do...
RLC frequency limits Last week you studied the driven RC circuit and the driven RL circuit. Consider the driven series RLC circuit. Its impedance is Z=R+j(ωL−1/(ωC)) . (a) For very high frequencies the driven RLC circuit behaves like an RL circuit (the effect of the capacitor becomes negligible). In this case does the current lead or lag the applied voltage in phase? A. lags B. leads C. neither What value in degrees does |ϕ| approach as ω→∞ ? (b) For...
TASK (i): Find time-domain equations for a parallel LC resonant circuit An LC resonant circuit is sometimes referred to as an LC-tank or tuned circuit. It is made up of two components: an inductor (L) and a capacitor (C), hence the name. CAPACITOR 4 e V - + V - Figure 1: Capacitor symbol The charge on a capacitor is proportional to the voltage across it, the constant of proportionality being the capacitance C, measured in Farads (F). Since current...
For the series-parallel RL circuit shown below, determine: Total impedance in rectangular and phasor forms Find current passing through each components Find both voltages across the resistor and Inductors
1. (50 Points) angle phase voltage source supplies an RL load connected in parallel configuration throu given below: Load: R 500 and X j50 Ω. The voltage across the load is 20 kV. wire impedance : 2.5 +j20 Ω. Answer the following questions: (a) Represent the circuit in phasor domain. (b) Calculate the phasor current through the wire. (c) Calculate the voltage across the source. (d) Calculate the phasor current through the load resistance. (e) Calculate the complex power supplied...
4. Consider a series RLC circuit driven by a voltage source with capacitor voltage as output. Assume the following parameter values: R 20n, L ;: 1 mH, C : 5μF a. b. c. d. Write down the transfer function of the system Choose a sample time for the system Find the pulse transfer function (use MATLAB 'c2d' command) Find the range of K for stability for the closed-loop sampled-data system 4. Consider a series RLC circuit driven by a voltage...
find state table, state diagram, input and output equations and characteristic equation yf Clock 와 12
Q1 a) A parallel resonant RLC circuit is driven by a current source is = 20 cos(wt) x10-3A and shows a maximum response of 8 V at w = 1000 rad/s and 4V at w = 897.6 rad/s. Determine the value of passive components R, L and C. (15 Marks) b) The concept of resonance applies in several areas of science and Engineering. Resonance occurs in any circuit that has at least one inductor and one capacitor. Explain the condition...
Write the state input and output equations, the state table, and the state diagram for the following circuit. Include at least one complete solution to each equation used to develop the truth table. K is connected to a logic high (1). Consider both CLK's to be connected to a proper external clock Also consider the PRE and CLR of each flip-flop to be connected to a logic high (1). 1. PRE PRE J Q K Q CLR dlo- CLR Write...