# RLC circuit

by Cooler
Tags: circuit
 P: 17 Hi...i have question on RLC circuit. Why my max.voltage of complex sinewave in Excel is different from the simulated complex waveform? which one is right? max.voltage of complex waveform in excel = 106.8V max.voltage of complex waveform in simulation = 126.8V Should it be the same?
P: 1,089
 Quote by Cooler Hi...i have question on RLC circuit. Why my max.voltage of complex sinewave in Excel is different from the simulated complex waveform? which one is right? max.voltage of complex waveform in excel = 106.8V max.voltage of complex waveform in simulation = 126.8V Should it be the same?
Can you provide more details about the circuit so we can do analysis and compare?
 P: 17 v = 110sinωt + 22sin(3ωt + 50⁰) + 5.5sin(5ωt - 35⁰) R = 25 , L = 100mH , C = 11.3uF .....in RLC series circuit Freq = 50Hz that are the details of the circuit....
Mentor
P: 11,683
RLC circuit

 Quote by Cooler v = 110sinωt + 22sin(3ωt + 50⁰) + 5.5sin(5ωt - 35⁰) R = 25 , L = 100mH , C = 11.3uF .....in RLC series circuit Freq = 50Hz that are the details of the circuit....
Which voltage are you concerned with? The voltage that is the sum of the supply voltages (your v above), or a voltage measured across one or more of the circuit components? If the latter, which component(s)?
 P: 17 the voltage im concerned with is the output voltage (the last voltage coming out through all the components)....with all the voltages connected (in series) in one circuit.
Mentor
P: 11,683
 Quote by Cooler the voltage im concerned with is the output voltage (the last voltage coming out through all the components)....with all the voltages connected (in series) in one circuit.
Hmm. I'm afraid that doesn't make things clear to me. What is the last voltage coming out of a series circuit? Where's the end of a circle?

I've attached a figure of the circuit diagram for a series RLC circuit driving by three voltage sources. I've placed labels a,b,c,d at various points in the circuit path. Suppose we can measure the voltage between any chosen pair of labels (ab, ac, ad, bc, bd,...). Which pair represents the voltage that you're interested in?
Attached Thumbnails

 P: 17 the voltage im after is at 'a'...the voltage coming out from the capacitor which is the output voltage waveform
Mentor
P: 11,683
 Quote by Cooler the voltage im after is at 'a'...the voltage coming out from the capacitor which is the output voltage waveform
Between a and what other point? Voltage is a potential difference. What's the reference point?
 P: 17 it is the voltage at a and d....
Mentor
P: 11,683
 Quote by Cooler it is the voltage at a and d....
Okay. So the voltage you want is directly across the summed voltage supplies. This means that the other circuit components are irrelevant to the issue because the voltage supplies alone dictate their own voltages (assuming ideal voltage supplies).

The problem then boils down to finding the maximum absolute value for the function

f(θ) = 110 sin(θ) + 22 sin(3θ + 50°) + 5.5 sin(5θ - 35°)

Note that the function is periodic since it's the sum of periodic terms. The "fundamental" period corresponds to is 2π radians for θ -- all the terms of the function complete an integer number of complete cycles over that domain. If you plot the function over this domain you will observe the peaks (see figure attached).

To find the actual values of the peaks, use whatever mathematical tools you are familiar with for finding function maxima and minima.
Attached Thumbnails

 Related Discussions Electrical Engineering 8 Introductory Physics Homework 15 Introductory Physics Homework 3 Introductory Physics Homework 2 Mechanical Engineering 0