Transcription of RLC Resonant Circuits
{{id}} {{{paragraph}}}
Example: biology
RLC Resonant Circuits
RLC Resonant CircuitsAndrew McHutchonApril 20, 20131 Capacitors and InductorsThere is a lot of inconsistency when it comes to dealing with reactances of complex components. The formatfollowed in this document is as follows. Theimpedance,Z, of a component or a circuit is defined as,Z=R+j X(1)whereRis the resistance,jis the imaginary unit, andXis the reactance. Note that the imaginary unit isoutsidethe reactance and there is a plus sign betweenRandj and Inductors are both components which can store energy: capacitors store it in an electric field andinductors in a magnetic field. Ideal capacitors and inductors are assumed to have zero resistance and so have apurely imaginary impedance,ZC=1j C= j CZL=j L(2)Following the convention in equation 1 we define the reactances to be,XC= 1 CXL= L(3)note that the minus sign is includedinsideXC, this is to ensure we get a plus sign in equation 1.
To see the resonance e ect consider the ratio of the voltage across the reactive components to the input voltage. For example, for the capacitor, v C v = 1 1 !2LC+ j!RC (7) This ratio is plotted against angular frequency for particular values of R, L, and Cin gure 4. The gure shows that the circuit exhibits voltage ampli cation properties.
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: