Find the resonant frequency, Electrical Engineering

Assignment Help:

Find the resonant frequency:

Find the resonant frequency ω0 (or f0) for the given series RLC circuit

123_Find the resonant frequency.png

v = Vm sin ωt = 50 sin ωt

Figure

Also determine the expression for resonant current.

Solution

R = 10 Ω, L = 2 Henry, C = 20 μF

 Under resonance:

                                  XL = XC

                               ωL =   1 /ωC

∴          ω0 =1 / √(LC)

=          1/ √(2 × 20 × 10- 6)     = 0.158 × 103

and

           fo   = 1/2π √( LC)  = 25.16 Hz

Current i is given by i = V/ Z

But at resonance Z = R or 10 Ω

So        i = Vm sin ωt/R    =50 sin ωt/10      = 5 sin ωt Amp


Related Discussions:- Find the resonant frequency

500Mhz Collpitts Oscillator, How to design an Oscillator Circuit (500 MHz r...

How to design an Oscillator Circuit (500 MHz range) with no Op amps?

Transmission line, A three-phase transposed line is composed of one ACSR co...

A three-phase transposed line is composed of one ACSR conductor per phase with flat horizontal spacing of 11 meters as shown in Figure (a). The conductors have a diameter of 3.625

L filters, L filters: An L filter contains two reactive elements that ...

L filters: An L filter contains two reactive elements that are one in series and one in parallel. T and π filters: Main article: Capacitor-input filter

Address bus - bus organisation , Address Bus The address  bus is the gr...

Address Bus The address  bus is the group  of 16 lines. It is used  to carry  the address of memory  location and  addresses  of input  and output  ports as shown. It is a unid

Components of gis - methods, Methods: A successful GIS operates accordi...

Methods: A successful GIS operates according to a well-designed plan and business rules that are the models and operating practices unique to every organization. GIS gives i

Tri state devices, Tri State Devices Tri  State  devices have three  st...

Tri State Devices Tri  State  devices have three  states logic 1  logic  0 and high  impedance. A tri state device ( Buffer/ Inverter) has three  lines output  enable as shown

Show common signal-processing operations, Q. Show Common signal-processing ...

Q. Show Common signal-processing operations? Common signal-processing operations include the following: • Amplification to compensate for attenuation • Filtering to reduc

Mesh analysis procedure, Mesh analysis procedure : 1.  Assign a distinct...

Mesh analysis procedure : 1.  Assign a distinct current to every closed loop of the network. 2.  Apply KVL around every closed loop of the network. 3.  Solve the resulting

Petri nets, Discrete Systems Control: cat and mouse example with 4 rooms us...

Discrete Systems Control: cat and mouse example with 4 rooms using petri nets

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd