Find vc in terms of the arbitrary constants c1 and c2

Assignment Help Electrical Engineering

Reference no: EM13230522

Consider an RLC circuit with R = 5 Ohms, L= ½ H, C= 2/9 F and input voltage e(t) = exp(-t/2)

a. Starting from KVL show that the DE for the voltage across R is given by: v'' + 10 v' + 9 v = -5 exp(-0.5 t)

b. Find vc in terms of the arbitrary constants C1 and C2

c. Find vp

d. Add vc and vp and use the initial conditions If v(0) = 0 and v'(0) = -5 to show that the actual solution is

v(t) = 0.625*exp(-1.0*t)+0.551*exp(-9.*t)-1.18*exp(-0.500*t)

e. Use Matlab to plot the solution

Reference no: EM13230522

Questions Cloud

Find the power crossing into a given transverse plane : a parallel plate transmission line is made up of perfect conductors of width w = .2m and d = .01m. The medium between the plates is a diaelectric of epsilon = 2.25*(epsilon not) and mu = mu not. For a uniform plane wave propagating down the line

International and comparative law : International treaties that have been ratified by the Australian government do not as such form part of our domestic law or operate as a direct source of individual rights and obligations under that law.

What is value of the electric field perpendicular to surface : If an electric field in free space of 57.1 V/m makes an angle of 41 degrees to the surface normal of a dielectric slab with relative permittivity 4.01, what is the value of the electric field perpendicular to the surface just inside the slab

Compute the ph volumes of acid : A 20.00-mL sample of 0.150 M KOH is titrated with 0.125 M HCIO4 solution. Calculate the pH after the following volumes of acid have been added.

Find vc in terms of the arbitrary constants c1 and c2 : Consider an RLC circuit with R = 5 Ohms, L= ½ H, C= 2/9 F and input voltage e(t) = exp(-t/2)a. Starting from KVL show that the DE for the voltage across R is given by: v'' + 10 v' + 9 v = -5 exp(-0.5 t) b. Find vc in terms of the arbitrary constants ..

Describe the energy transformations : List a possible sequence of events and describe the energy transformations that take place between the sun's light hitting the earth and the light reaching you from an electric light bulb

State as food manufacturers add vinegar to food preparations : As food manufacturers add vinegar to food preparations to make them tart, rather than pure acetic acid,

Explain the wavelength of maximum absorption : at 580 nm, the wavelength of its maximum absorption, the complex Fe(SCN)2+ has a molar absorptivity of 7.00 x 10^3 L mol -1cm1-. Calculate

Long-term stock market performance of ebay : Research this hostile takeover attempt and write a 1-2 page original essay/position paper on how Icahn's proposal would affect the long-term stock market performance of EBay

User Account

All Pages