LRC-Series_frequency-dependence
Author: Lenore Horner

Use the worksheet below to explore how changing L and C changes what frequencies produce strong voltages across each component of the circuit.

You may safely ignore the last three definitions on the left (Z', Zminmark, Ztrace).

With C and L both non-zero, try dragging the dot on the impedance curve to find the minimum.  With the dot at minimum, vary L, R, and C.  What happens?

What settings make the best separation of a few frequencies from the rest?

What settings make the most uniform response to different frequencies?

drag to find resonance

resonant frequency

L = 0 (slider from 0 to 2, step 0.1)
C = 2 (slider from 0 to 2, step 0.1)
R = 1.1 (slider from 0 to 2, step 0.1)
Z(x) = sqrt(R^(2.0) + (x * L - 1.0 / (x * C))^(2.0))
V_R(x) = 1.0 / Z(x) * R
V_L(x) = 1.0 / Z(x) * x * L
V_C(x) = 1.0 / Z(x) / (x * C)
Z' = Derivative(Z(x))
Z_{trace} = Point(Z)
ZMinmark = Root(Z'(x), x(Z_{trace}), x(Z_{trace}) + 0.01)