Physics 236 Lab in RL circuits: How much time does it take current to stabilize in a DC circuit? In this activity you will compare the analytic model we derived in class for RL circuits to real data taken for ve different circuits. The basic circuit is a single loop with an inductor, resistor, and DC voltage source. However, the inductor has an internal resistance. The circuit diagram is: L Rindulor Five variations of this circuit are shown below. The two clips lead to the DC voltage source. The resistors have black/brown stripes and are all identical. The inductor is the blue cylinder. Case A \\ \\ \\6 To look at theses five data sets, open the le LabLRData.xlsx. You will see a plot with ve colored curves (current data) and one black curve (model). The model parameters are all correct except for the unknown resistance R. Questions: 1. Which run goes with which Case? Defend your answers. 2. What are the time constants for the different cases? (extra credit: what is the maximum possible inductance in Case A (Hint: you'll need to look at the time difference between two subsequent data points. 3. How well does the model t the data? Are there any aspects about the data that the model does not capture? All currents are in Amps model parameters Run #1 Run #1 Run #2 Run #2 Run #3 Run #3 Run #4 Run #4 Run #5 Run #5 units Time (s) model Time (s) Time (s) Time (s) Time (s) Time (s) VO 5 Volts 0.1 #NUM! 0.1 2.83E-04 0.1 6.74E-04 0.1 #HHHH# O.1 #HUHHUH Run#1 Run #2 Pau #3 Run #5 model 0.01 Henrys 0.1 #NUM! 0.1 #HHHHHH 0.1 1.37E-04 0.1 3.32E-04 R_inductor 32 Ohms 0.1 #NUM! 0.1 4.78E-04 0.1 5.27E-04 -0.1 2.83E-04 0.1 #HHHH## R 50 Ohms 0.1 #NUM! 0.1 137E-04 0.1 6.25E-04 7-99E-02 R equivalen 82 Ohms 0.1 #NUM! 0.1 4.78E-04 0.1 1.37E-04 0.1 5.27E-04 -0.1 3.32E-04 0.1 3.90E-05 tau 0.00012 seconds -0.1 #NUM! 0.1 2.34E-04 -0.1 ##14# -0.1 1.37E-04 649E-02 -0.0999 #NUM! -0.0999 #HHHHHH -0.0999 #HUHHH -0.0999 8.78E-05 -0.0999 6.74E-04 -0.0999 5.76E-04 0.0999 #NUM! -0.0999 5.76E-04 0.0999 2.34E-04 -0.0999 1.37E-04 -0.0999 #HHHH# 0.0999 ##1:1:# SO9E-02 -0.0999 #NUM! -0.0999 ##!## -0.0999 ##H## -0.0999 ####### -0.0999 8.78E-05 -0.0999 2.83E-04 0.0999 #NUM!| -0.0999 4.78E-04 -0.0999 1.37E-04 -0.0999 6.74E-04 -0.0999 3.90E-05 0.0999 #HH# 4 99E-02 0.0999 #NUM! -0.0999 ##HIHI## -0.0999 #1#1# -0.0999 8.78E-05 -0.0999 8.78E-05 -0.0999 1.37E-04 Output Current [A 0.0999 #NUM! -0.0999 1.37E-04 -0.0999 ####!## -0.0999 3.32E-04 -0.0999 4.30E-04 0.0999 ######## 3:99E-02 -0.0999 #NUM! -0.0999 ####### 0.0999 1.86E-04 -0.0999 186E-04 -0.0999 ####### 0.0999 ####1## 2.98E-02 0.0999 #NUM! -0.0999 ####### -0.0999 ####### 0.0999 ##10### 0.0999 4.30E-04 0.0999 4.78E-04 0.0999 #NUM! 0.0999 7.23E-04 0.0999 2.83E-04 -0.0999 4.78E-04 -0.0999 ####### -0.0999 ###### 1096 02 0.0999 #NUM! 0.0999 #### -0.0999 ####### -0.0999 ###4### -0.0999 ####### -0.0999 3.81E-04 -0.0998 #NUM! -0.0998 4.30E-04 -0.0998 2.34E-04 -0.0998 4.78E-04 -0.0998 4.78E-04 -0.0998 ##!!!#:#: 9.90E-03 0.0998 #NUM! -0.0998 ####### -0.0998 1.37E-04 -0.0998 ####### -0.0998 ####### -0.0998 2.34E-04 0.0998 #NUM! -0.0998 ####### -0.0998 ####### -0.0998 8.78E-05 -0.0998 6.25E-04 -0.0998 2.83E-04 -0.0998 #NUM! -0.0998 2.83E-04 -0.0998 3.90E-05 -0.0998 4.78E-04 -0.0998 ####### -0.0998 ####10# 0.0002 0.0002 0.0004 0.0005 0.0008 0.0998 #NUM! -0.0998 ####### -0.0998 ####### -0.0998 ####### -0.0998 3.90E-05 -0.0998 6.25E-04 time (s) -0.0998 #NUM! -0.0998 6.74E-04 -0.0998 3.90E-05 -0.0998 6.74E-04 -0.0998 4.30E-04 -0.0998 ####### 0.0998 #NUM! -0.0998 ####### -0.0998 1.86E-04 -0.0998 ####### 0.0998 ####### -0.0998 8.78E-05 0.0998 #NUM! -0.0998 8.78E-05 -0.0998 ####### -0.0998 3.32E-04 0.0998 7.71E-04 -0.0998 #######