3. [6 pts] The RLC circuit Problem 8.14 from the textbook. 302 4 H BO 80...
Problem 4: (7 pts) Consider the circuit shown below. Assuming that the swit calculate vit) for bo. t=0 v(t) 100 uF Problem 4: (7 pts) Consider the circuit shown below. Assuming that the swit calculate vit) for bo. t=0 v(t) 100 uF
Solve all the problems shown below Problem 1 In a source free RLC series circuit If R=1092 ,L=5H ,and C= 2 mF 1) Find a.,0, and the characteristics roots $,$2. 2) Find the response i(t) knowing that v(0)=5V and i(0)=1A Problem 2 In a source free RLC parallel circuit If R=52 ,L= 1H ,and C= 10 m 1) Find a ,0, and the characteristics roots S1,S2. 2) Find the response V(t) knowing that v(O)=10V and i(0)=5A Problem 3 In a...
Question 5 80 pts In the RLC circuit shown, the inductor is a solenoid with 300 turns, 12 cm length & 5 mm diameter. Find the rms current through the circuit. 0.5 2 300 uF 1.2 V rms @ 5,000 Hz frequency Upload Choose a File
3. RLC Parallel Circuit a) (7pts) For the circuit shown, determine the ODE relating the voltage (t) to the current source is(t) as well as the > L corresponding transfer function z(s) = (Hint: It might be easier to find the latter before the former.] (12pts) For R-0.802, C=0.25F and L=1H, determine the (1) impulse response, (ii) the unit step response and (111) the response to a pure sinusoid is (t) = cos(itt) Amperes (note that this last function is...
Problem 2 Obtain the second-order ODE describing the capacitor voltage v(t) in the series RLC circuit shown below. Hint: Confer with Problem 3.14 in the textbook and use i()for the loop current. 1S2 1 H v(t) (t 2F)
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a dependent source is shown in Fig. 3. 22 + VO - 132 1F + 15e-2 u(t) V ) 9[1-u(t)] V Y 0.50 » Fig. 3 A second-order RLC circuit with a dependent source Take the Laplace transform of the circuit and hence find the response io(t) for t > 0. Specify whether it is an underdamped, critically damped or overdamped case. Sketch the response.
Consider an RLC series circuit with R = 600 Ω, L = 3 H, C = 4μF, generator voltage V = 20 v, frequency= 60 hz. Find everything that was found for illustration problem above. That means parts (a) thru (i)- 9 parts to the problem.
1. A paralll RLC circuit consists of a A series RLC circuit consists of the same 5000 Ω resistor, 1.25 H inductor, and 8 nF capacitor. a) Find the roots of the characteristic 2. 5000 Ω resistor, a 1.25 H inductor, and an 8 nF capacitor. a) Find the roots of the characteristic equation equation b) Is the response over-damped or b) Is the response over-damped or under-damped? under-damped? c) How would you need to change the resistance to get...
3. (40 pts total) Eigenvalues of Systems of Equations Application: Series RLC Circuit, Natural, or Transient Response (Remember EE280, maybe not) M SR v(t) Consider a series RLC circuit, with a resistor R, inductor L, and capacitor C in series. The same current i(t) flows through R, L, and C. The switch S1 is initially closed and S2 is initially open allowing the circuit to fully charge. At t=0 the switch S1 opens and S2 closes as shown above. Solving...
6. (11 pts) Determine the values of R, L, and C in a series RLC circuit if. 100-e3100cos(40t)+ 75sin(40t)] V and 30t Vc(t) i(t) 0.125e 30'sin(40t) A