PROBLEM 5. TUNING A CIRCUIT: PRACTICAL RESONANCE. Consider a forced RLC circuit with L-1 (H), R-1...
6.3 Exercises In Exercises 1-5 find the current in the RLC circuit, assuming that E(t) = 0 fort > 0. 1. R = 3 ohms; L = 1 henrysC = .01 farads; Q. = 0 coulombs, 10 = 2 amperes. 11. Show that if E(t) = U coswt +V sin wt where U and V are constants then the steady state current in the RLC circuit shown in Figure 6.3.1 is w?RE(t) + (1/C - Lw?) E' (t) I where...
1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10 Henries, R 20 ohms, C = 0.02 Farads, the initial charge is Q(0) = 0, the initial current is I(0) = 0, there is an electromotive force forcing the RLC circuit via the voltage function E(t) letting the current alternate naturally through the circuit. Use the fact the differential 10 sin (t), nd then, at t = 2T seconds, the battery is...
5. In an RLC series circuit R = 10.0 Ω, C = 8.00 μF, L = 0.200 H, ω,-800 rads, -200 v a. Find ms b. Find the impedance Z of this circuit and the steady-state current amplitude I in the circuit. c. Find the phase φ of the steady-state current and the power factor for this circuit. Is the load of this circuit resistive, inductive or capacitive? d. Find the average rate at which power is dissipated in the...
PLEASE HELP 5. (Five points) Consider an RLC circuit for which an inductor of L-1 H and capacitor C= 0.1 F are present. For the given forcing function f (t), use the Laplace transforms to determine the charge Q (t) and current I (t) in the circuit at time t if initially(0)-0 and I (0) 0. Determine the charge and current in the case when R-8 and f (t) 10e. Show all your work solving this equation
Problem 1 An RLC circuit (as shown in page 79 in the textbook) has a resistor of Rohms, an inductor with an inductance of 2 henries, and a capacitor with a capacitance of 0.5 farads. A battery is connected to the circuit giving a voltage V(1) = 2 cos(31) in volts) where 1 is given in seconds. 1) Write the differential equation satisfied by the charge Q(1) (in Coulombs) on the capacitor at time t. Answer: ii) Let $R=1$. Use...
Consider the RLC circuit where R = 5, C = 1, L = 4 and V = 8. 1. Use circuit analysis laws to show that the resistor's voltage and induc- tor's voltage can be modelled as the system of ODEs し」L 2. Solve the eigenvalues and eigenvectors of the coefficient matrix in the system of ODEs. 3. Verify your answer for question (2) by using the eig function in MAT- LAB (make sure you comment on whether your solutions...
For MATLAB users. Can you please type the answers for the MATLAB sections. Consider the RLC circuit where R - 5, C- 1, L- 4 and Vs - 8 1. Use circuit analysis laws to show that the resistor's voltage and induc- tor's voltage can be modelled as the system of ODEs Vi VL RC 2. Solve the eigenvalues and eigenvectors of the coefficient matrix in the system of ODEs. 3. Verify your answer for question (2) by using the...
I just need help with question 4 only: Consider the RLC circuit where R = 5, C = 1, L = 4 and Vs = 8. 1. Use circuit analysis laws to show that the resistor's voltage and induc- tor's voltage can be modelled as the system of ODEs VR 0 R RC L 2. Solve the eigenvalues and eigenvectors of the coefficient matrix in the system of ODEs. 3. Verify your answer for question (2) by using the eig...
Consider the following circuit, with given constants ?-40V, R-200, L-4mH, C,-5?F and C,-5?F, where the switch S has been closed for long enough so that the circuit has reached a steady state, at which point the switch is opened. CI (a) Use Kirchoff's Law to obtain a differential equation for the circuit, expressed only in terms of the charge q in the circuit and other given constants, and write down the initial conditions (current and voltage across each element) at...
ONLY NEED SOLUTION TO QUESTION 4 PLEASE, THANK YOU (PLEASE MAKE SURE TO PLOT THE SOLUTION IN MATLAB) Part A (Based off week 7 Workshop content) Consider the RLC circuit where R = 5, C = 1, L = 4 and Vs = 8. 1. Use circuit analysis laws to show that the resistor's voltage and induc tor's voltage can be modelled as the system of ODEs: L RC i the system of ODEs 3. Verify your answer for question...