Series Resonance Help

Trav said:

Connect the 50 Ω output from the function generator to the oscilloscope input and establish a sine wave on the oscilloscope with the following characteristics:
a. f = 100 Hz, Vmax = 500 mV
Disconnect the output of the function generator from the oscilloscope and apply it to your circuit.

Giving me the result:

f(hz) Vr(V) vc(V) vl(V)
100 0.096 0.65 0.06 I assume that these voltage are measured across the respective components, not wrt gnd.
150 0.13 0.63 0.08

It then asks me to use these results to calculate the following parametersfor 100 and 150hz:

1. I (A)
2. XL (Ω)
3. XC (Ω)
4. Z (Ω)

Would i be right in saying:

1. I v/r 0.0957/100 Correct since R = 100 Ohm.

2. Xl = 2pi x f x l See below

3. Xc = 1/2pi x f x c

4. Z = √rsquared+(Xc-Xl)squared This will give the right answer because of the square, but it should be Xl - Xc

Edit: The part that im really unsure on is actually part 1, so if anybody could just clarify that i will appreciate it, thanks in advance. Also a 100ohm resistor is used and thats were im getting my 100 figure for in Q1.

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Trav said:

Think im struggling to find the value of the inductance for the xl formula

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MrAl said:

Hi there Len,

I came up with 0.1H and 2.35uf also, but then when i went back to calculate the responses of the whole network i came to the conclusion that we could not get the same numbers with 0.5v peak we'd need something like 0.6v peak as the source input voltage. So there are a number of questions that come up here regarding the measurements. And yeah, the 150Hz numbers dont make sense at all.

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