In the RLC circuit shown below, the passive element values are R=(13/3)O, L=(1/3)H, and C=(1/10)F, t

In the RLC circuit shown below, the passive element values are R=(13/3)Ω, L=(1/3)H, and C=(1/10)F, the voltage source is vs(t)=cos(50t)V. The initial voltage of the capacitor is known as vc(0)=6V. The open switch closes at t = 0, find the voltage in the capacitor, as a function of time, for t after the switch closes. As a “not to be submitted” exercise, do plot the current in the capacitor between t = 0 and t = 1 sec, and you’ll observe something extremely interesting: the steady state AC current has a small RMS value, but the initial transient clearly goes many times higher than that, thus endangering the equipment connected (Use the HP-50g plot for this).

(20 points) In the RLC circuit shown below, the passive element values are R = (13/3) Ω, L = (1/3) H. and C = (1/10) F, the voltage source is us (t) = cos (50) V. The initial voltage of the capacitor is known as v 0 6V The open switch closes at t = 0 find the voltage in the capacitor, as a function of time, for t after the switch closes. As a “not to be submitted” exercise, do plot the current in the capacitor between t0 and t 1 sec, and you'll observe something extremely interesting: the steady state AC current has a small RMS value, but the initial transient clearly goes many times higher than that, thus endangering the equipment connected (Use the HP-50g plot for this). Note: For the Heaviside function, use “u(t)”. Also, use e(x) or e*”(x) instead of exp(x) for the natural exponential function closes at t=0 Uc(t) = Note: Please enter your solution in the form (K1* e*(K2* t) + K3*e*(K4*t) all coefficients Ki. K5 cos(50t) + K6* sin(50t)) u(t) where you are to determine

 

Looking for a Similar Assignment? Let us take care of your classwork while you enjoy your free time! All papers are written from scratch and are 100% Original. Try us today! Use Code FREE15

Save your time - order a paper!

Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlines

Order Paper Now