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Engineering and Comp Sci Homework Help
Finding resonance frequency of non ideal inductor
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[QUOTE="Gauss M.D., post: 4506905, member: 454742"] [h2]Homework Statement [/h2] We have this circuit: (u[SUB]in[/SUB]+)---[1/jωC]--[jωL]--[R[SUB]L[/SUB]]----o------u[SUB]out[/SUB]+ (resistor of value R connecting the two lines at their o's here) (u[SUB]in[/SUB]+)-------------------------o------u[SUB]out[/SUB]- Find an expression for the quotient of u(in)/u(out), and then find the resonance frequency. [h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2] U[SUB]out[/SUB]/U[SUB]in[/SUB] = R/(R+R[SUB]L[/SUB] + jωL + 1/(jωC)) = jωRC/(jωC(R + R[SUB]L[/SUB] -ω[SUP]2[/SUP]CL + 1) Without the added resistance at the inductor, the resonance is 1/√LC but the expression I get when trying to find when this denominator goes to zero is just extremely sticky. Have I done something wrong or is this to be expected? [/QUOTE]
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Finding resonance frequency of non ideal inductor
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