Find the resonant frequency, Electrical Engineering

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

Posted Date: 2/5/2013 1:36:08 AM | Location : United States







Related Discussions:- Find the resonant frequency, Assignment Help, Ask Question on Find the resonant frequency, Get Answer, Expert's Help, Find the resonant frequency Discussions

Write discussion on Find the resonant frequency
Your posts are moderated
Related Questions
Selection of Right- Flex : It is also important that the flex we choose is appropriate to the appliance used. Like fuses, the cables and flexes are also rated according to their

schmitt triggering with emitter coupled transister

how to design a 32:1 multiplexer using two 16:1 multiplexers and a 2:1 multiplexer?

Calculate the Small Signal Voltage Gain a) Calculate the small signal voltage gain a v = v o /v i , input resistance R i , and output resistance Ro for the circuit below. A

Use basic circuit theory to convert the "T" circuit below into the equivalent "π". Hint: Remember to disconnect the voltage source and the load.

what is ohm?

Q. The unit impulse response h(t) of a linear system is h(t) = 5e -t cos(2t - 30°). Determine H(s).

What is resistivity? Resistivity of a material may be explained as the resistance of the material having unit length and also unit cross sectional area. Unit of it is ohm-m.

Since dc motors of various types are used extensively in control systems, it is essential for analytical purposes that we establish a mathematical model for the dc motor. Let us co

I need I circuit that calculates f(n) = 2^2^n, where n is a 4bit number. I tried with a decoder but unsuccessfully.