I don't have an answer key, so I'm not sure if I'm doing this right. A second opinion would be greatly appreciated

Five infinite-impedance (so it doesn't effect the circuit elements) voltmeters, calibrated to read rms values are connected as shown in the figure (mirin' paint skills ofc). Let R = 200 ohms, L =0.400H, C = 6.00uF, and V=30.0V. What is the reading on each voltmeter if w=200 rad/s, w= 1000rad/s



This is what I did.

XL = wL = 200*.4 = 80ohms, Xc=1/wC = 1/200*6*10^-6 = 833ohms
I = V/R = 30.0V/200ohms = .1500A

V1 = IR = .15A*200ohms = 30.0V
V2 = IXL = .15*80 ohms = 12.0V
V3 = IXc = .15A*833ohms = 125.0V
V4 = I*sqrt ([XL-Xc]²) = .15*753ohms = 113.0V
V5 = I*Z = .15A*sqrt(200²+[-753]²) = 116.9V

Vrms = V/sqrt(2) or multiply each by .707 so

V1rms = 21.2V
V2rms = 8.48V
V3rms = 88.4V
V4rms = 79.9V
V5rms = 82.6V

I think your current is incorrect
You're assuming at resonance , which it's not. angular, w=1/sqrt(LC)
i=v/z

z=( rr + (XL- XC)^2)^.5

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I did this in physics 2, and don't remember much :/

This post was edited by saber_x3 on Apr 20 2013 04:37pm

hmm now that I think about it you're right

so I = 37.5 mA?

This post was edited by drxscillator on Apr 20 2013 04:59pm

30/sqrt(200^2 + (833-80)^2)
0.03850558178

I can't even read a calculator right