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I am working on a small pspice project right now and I am having trouble underst

ID: 2248357 • Letter: I

Question

I am working on a small pspice project right now and I am having trouble understanding how one controls the output waveform of a parallel RLC circuit. Wouldn't my source voltage just ocilate as a sinwave of A*sin(omega t + phi)? Where A is my max voltage, the omega is given, and to shift the sinwave back so that the max is at t=0 the phi would have to be-pi/4? I also don't really understand what it means to have a V threshold impacting the second and third maxima. In my case it's 6. I don't even really understand what a V threshold even means. Also wouldn't the maxima just occur at 0, omega, and 2 omega because you shifted the sinwave to be like a cosin wave? Does an parael RLC circuit even need a voltage source?

On top of that how does the R and L impact the the capsitor?

Project 1

In PSpice, design a parallel RLC circuit that provides a capacitor voltage which oscillates with a frequency of rad/s, with a maximum value of Vmax occuring at t=0, and the second and third maxima both in excess of Vthreshold V.

Specifications based on student ID#:

1. Angular Frequency = first three digits of ID# (without 000)
2. Vmax = 10 if last digit of ID# is even and 15 if last digit is odd.
3. Vthreshold = 6 if last digit of ID# is even and 9 if last digit is odd.

Create a table that shows the specifications of the circuit that is based on your student ID#.

Explanation / Answer


let the voltage be V

so as the parallel circuit voltage remains same across all three components of the circuit

now relation current in the components can be written as follows

I{_{s}}^{2}=I_{R}^{2}+(I_{L}-I_{C})^{2}

R= resistor,L= Inductor,C=capacitor

and relation between current and voltage can be written as follows

I{_{s}}^{2}=(V/R)^{2}+((V/X_{L})-(V/X_{C}))^{2}

so from above relations we can easily calculate the change in current values by changing the values of resistor

e.g.

1) on increasing value of resistor, keeping voltage constant, value of overall current decreases

2) on decresing value of capacitance, capacitive reactance increases and hence the difference term in the equation decreases and hence overall current increases.

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