- #1

- 153

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## Homework Statement

We have this circuit:

(u

_{in}+)---[1/jωC]--[jωL]--[R

_{L}]----o------u

_{out}+

(resistor of value R connecting the two lines at their o's here)

(u

_{in}+)-------------------------o------u

_{out}-

Find an expression for the quotient of u(in)/u(out), and then find the resonance frequency.

## Homework Equations

## The Attempt at a Solution

U

_{out}/U

_{in}= R/(R+R

_{L}+ jωL + 1/(jωC)) = jωRC/(jωC(R + R

_{L}-ω

^{2}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?