Question

Part 3 - Average Power 1. Create an RLC circuit with resonant frequency of your own choosing. Initially set the resistance to 10 2. For at least 7 values of frequency fill out the table below. Make sure you have at least three points above, below, and including the resonant frequency. Note Irms and Vrms are the values leaving the AC Voltage. Refer to your lecture notes on how to calculate average power. R=10 [2] f[Hz] w [rad/s] Z [2] hus [A] VUM RMS AVE I 2. Using Microsoft Excel or Google Sheets make a graph of the average power (y-axis) versus a (x- axis). Make sure the graph has axes labeled with units included. Save a copy of the graph and include it in your submission 3. Repeat #1-2 now with R=100 Q and the circuit otherwise unchanged. Save a copy of the graph and include it in your cubuitsin move the object around and see now the principarrays chances me

Answer 1

Answer Given that Create an Rhe current circuit with resonant frequency of your own choosing → The resistance to-10 n with 't given have to choose values for 'l' and 'c' and source Voltage we L=10H c= V= 100V → The resonant frequency given by fo = 50.3Hz autho → for completion of the table well use the following formulas W= 21 c X2 = WL Xc= Wc VR?+ (%,- Xc)² 2 =

Vyms 11 Irms Voms 크 Paug - Very I rms ( 2 ) = 2 m3

f (Hz) w (rad/s) Z ohms) Vrms (V) Irms (A) Pavg (W) 10 62.83185307 15287.179 70.7 0.00462549 0.32707146 20 125.6637061 6701.11755 70.7 0.01055207 0.7461442 30 188.4955592 3420.2238 70.7 0.02067428 1.46189264 40 251.3274123 1465.63357 70.7 0.04824581 3.41149391 50 314.1592654 42.6938558 70.7 1.6562261 117.11287 60 376.9911184 1117.37355 70.7 0.06328294 4.47477928 70 439.8229715 2124.6112 70.7 0.0332817 2.35337176 80 502.6548246 3037.12792 70.7 0.02328209 1.6462922 90 565.4866776 3886.49138 70.7 0.01819396 1.28650742 100 628.3185307 4691.64653 70.7 0.01507161 1.06572393

Pavgvs W 140 120 100 80 Pavg (W) 60 40 20 0 0 100 200 300 400 500 600 700 -20 w (rad/s)
if we repeat using now R=100 ohms

the power graph changes as followswe can see that the first graph is sharper and with a higher peak for resonant frequency

140 120 100 80 Pavg (W) 60 40 20 0 0 100 200 300 400 500 600 700 -20 W (rad/s)

the role of the resistor in the RLC oscillator is to increase the damping