RLC Circuit Lab Question 6: Using the inductance and capacitance values calculate the resonant frequency wo- VLC Show your work. OBJECTIVE Question 7: Convert the period you measured in question 5 to angular frequency, a =-How do Observe properties of alternating current (AC) circuits. w and wo compare? Quantitatively observe an RLC circuit driven at the resonance frequency. Click Voltage Chart and place the detectors on either side of the capacitor. Add a second chart OVERVIEW and place the detectors on either side of the inductor. Make sure that you are consistent with AC circuits are the backbone to our technological society, especially in communications. One of the most where the positive probe is located, keep the polarity of the detectors consistent. Adjust the y- important circuit set up is that of a resistor, inductor, capacitor series circuit, also known as a PLC circuit. axis using the +/- arrows at the top so you can fully see the sinusoidal curve. These circuits will produce a very large current when the frequency of the source matches the natural Question 8: What are some similarities and difference between the voltage over the capacitor and that frequency, which is determined by the inductor and the capacitor. This allows a device to receive signals of the voltage over the inductor? What are the maximum and minimum voltages? of a specific frequency and transmit them. Question 9: Determine the period between maximum peaks. How long it takes to complete one full Activity 1: LC Circuit cycle. Use the same technique used in Question 5. 1. Go to the PhEJ simulation "Circuit Construction Kit: AC Virtual Lab" (Website: Activity 2: PLC Circuit https://phet.colorado.edu/en/simulation/legacy/circuit-construction-kit-ac-virtual-lab). Create a circuit with an AC Voltage in series with a resistor, inductor, and capacitor. N Play around with the simulation a bit to see all the circuit elements and meters available to you. When you are ready reset the simulation. Question 10: Right click on the resistor, click Change Resistor, what is the value of resistance for the m Create a circuit with a battery and a capacitor in series. This will charge the capacitor. Pause the resistor? Using the same process what is the inductance of the inductor and capacitance of the simulation by pressing the pause button at the bottom of the simulation. capacitor? Question 1: Right click the capacitor, click Change Capacitance, what is the capacitance of the Question 11: Right click the AC Voltage and click Change Voltage, what is the value of the voltage? capacitor? Question 12: Right click the AC voltage and click Change Frequency, what is the value of frequency? Disconnect the battery and remove it from the simulation. Place a Voltage Chart around each of the circuit elements, include the AC Voltage Make sure Connect an inductor in series with the capacitor. you are consistent with where the positive probe is located, keep the polarity of the detectors Question 2: Right click the inductor, click Change Inductance, what is the inductance of the inductor? consistent. m Let the simulation run for a moment and observe the voltages across each of the elements. .Press the play arrow at the bottom of the simulation. Let the simulation run for at least 30 Question 13: What are the maximum and minimums of each graph? seconds. Observe what happens in the circuit. Question 14: What are the qualitative similarities and difference between the graphs? What graphs are Question 3: What did you observe to happen in the circuit? in phase with one another and which graphs are not? What about the sign of the amplitude? 7. Click Current Chart and place the detector on a wire in the circuit between the capacitor and the Question 15: Using the rms voltage, Vrms = Vo/V2, where Vo, is the peak voltage, calculate the rms for inductor Adjust the y-axis of the graph by using the +/- arrows at the top so that you can fully see the each circuit element. Does the calculation Ermis = (VrmsR) + (Vrms.z - Vrmsc) hold true ? sinusoidal curve and the maximum current. Question 16: Calculate the impedance of the circuit using the values you record for the resistance, Question 4: What is the maximum current? What is the minimum current? capacitance, inductance, and frequency of the AC Voltage. The impedance is given as, Z = Question 5: Determine the period of oscillation. To do this note the time that the current is at a peak JR= + ( W L - 1 ) 2 value. Then note the next time the current is at its peak value, Take the difference. Remember that the period is the time for the system to complete one full cycle. 4. Place a Current Chart after the source in the circuit. Note the maximum value of the current