Question

Lab Procedure: Part 1: Source Free RC Circuit V(t) ilts C3 (R3 21ko 1uF IC=10V a) For the circuit shown above, provide the equation and calculate the following: 1. The source free equation for V(t) for V(O)= 10 volts 2. The equation for it) 3. V(t) and i(t) for t = t (one time constant) b) Now, enter the circuit using Multisim Schematic Capture. c) Simulate using Transient mode with a graphical output and verify graphical results with your calculations. Use a table to compare expected vs Simulation results for all values. d) Explain any differences in your table of comparisons.

Answer 1

Design2 - Multisim - [Design2*] Eile Edit View Place MCU Simulate Transfer Tools Reports Options Window Help B BW 6 % @ 7.9 mm -- In-Use List ... the the an # the #Bed or 2 MISC DY X O PS Transient Design Toolbox .. ..... .... ..... .... .... ..... ..... ....4.......... @a@ga ......... ..... ....7..... 2- - Design1 Design1 Design2 Design2 C1 1uF IC=10V Hierarchy Visibility Project View Design Design2* Multisim - Friday, April 17, 2020, 11:13:03 AM Probes do not plot to the Grapher for interactive simulation. Connect an oscilloscope or run a transient simulation to see Grapher data. Probes do not plot to the Grapher for interactive simulation. Connect an oscilloscope or run a transient simulation to see Grapher data. Probes do not plot to the Grapher for interactive simulation. Connect an oscilloscope or run a transient simulation to see Grapher data. Probes do not plot to the Grapher for interactive simulation. Connect an oscilloscope or run a transient simulation to see Grapher data. Spreadsheet View Components Copper layers Simulation Results Nets For Help, press F1 Tran: 10.000 ms - 11:59 AM P O 4/17/2020

- a x Design2 - Multisim - [Design2 *] Eile Edit View Place MCU Simulate Transfer Tools Reports Options Window Help BBW 8 % @ 7. IM S -- In-Use List -- thote @a@ga an # the #Bed or 2 MISC DY X O PS Transient Design Toolbox D u Te Grapher View O X 2- Design1 File Edit View Graph Trace Cursor Legend Tools Help Design1 - Design2 Xe O GO.AC3Q Q Q | A | ** DOO Design2 Transient Transient Transient Transient Transient Transient Transient Transient Transient Transient Transient Design2 Transient Voltage (V) 6m 10m 2m Hierarchy Visibility Project View Design Desig 4m Time (s) Multisim - Friday, April 17, 2020, 11:13:03 AM (2) Probes do not plot to the Grapher for interactive simu Probes do not plot to the Grapher for interactive simu Selected Diagram:Transient Probes do not plot to the Grapher for interactive simulation. Connect an Oscilloscope or run a transient simulation to see Grapher data. Probes do not plot to the Grapher for interactive simulation. Connect an oscilloscope or run a transient simulation to see Grapher data. Spreadsheet View Results Nets Components Copper layers Simulation Run active analysis. Tran: 10.000 ms P O 4/17/2020

- a x Transient Design2 - Multisim - [Design2 *] Eile Edit View Place MCU Simulate to Analyses and Simulation O M 6 % E é Active Analysis: an # the # B e d or 2 MISC Interactive Simulation Design Toolbox DC Operating Point D u Te AC Sweep 2- Design1 Transient Design1 DC Sweep - Design2 Design2 Single Frequency AC Parameter Sweep Analysis parameters Output Analysis options Summary Initial conditions: User-defined Start time (TSTART): O End time (TSTOP): 0.01 Noise Maximum time step (TMAX): Determine automatically Monte Carlo Fourier Setting a small TMAX value will improve accuracy, however the simulation time will increase. Temperature Sweep Distortion Initial time step (TSTEP): Determine automatically Sensitivity Worst Case Noise Figure Pole Zero Transfer Function Trace Width Hierarchy Visibility Project View Design1 * Batched User-Defined Multisim - Friday, April 17, 2020, 11:13:03 AL Probes do not plot to the Grapher for interad Probes do not plot to the Grapher for interad Probes do not plot to the Grapher for intera Probes do not plot to the Grapher for interad Reset to default Spreadsheet View D Bun Save Cancel Help Results Nets Components Copper layers Sir Tran: 10.000 ms - Px . 12:02 PM 4/17/2020

choose user defined under innitial conditions to obtain the result

- a x Transient Design2 - Multisim - [Design2 *] Eile Edit View Place MCU Simulate to Analyses and Simulation O M 6 % E é Active Analysis: an # the # B e d or 2 MISC Interactive Simulation Design Toolbox DC Operating Point D u Te AC Sweep 2- Design1 Transient Design1 DC Sweep - Design2 Design2 Single Frequency AC Parameter Sweep Analysis parameters Output Analysis options Summary Variables in circuit: All variables I(C1) I(R1) P(C1) P(R1) Selected variables for analysis: All variables V(2) Noise Add > Monte Carlo Fourier Remove Edit expression... Temperature Sweep Distortion Add expression... Sensitivity Worst Case Noise Figure Pole Zero Transfer Function Trace Width Hierarchy Visibility Project View Design1 * Filter unselected variables... Filter selected variables... Batched User-Defined More options Add device/model parameter... Show all device parameters at end of simulation in the audit trail Multisim - Friday, April 17, 2020, 11:13:03 AL Probes do not plot to the Grapher for interad Probes do not plot to the Grapher for interad Probes do not plot to the Grapher for intera Probes do not plot to the Grapher for interad Delete selected variable Select variables to save... Spreadsheet View a Bun Save Cancel Help Results Nets Components Copper layers Sir Tran: 10.000 ms 12:03 PM 4/17/2020

+ Ve(t) Apply KUL to the loop . tic R t Velt)=0 i= c duc de Educrt Vc=0 dt ur CR dve at Integrate on Both sides ren (WC) = 4 c t k → t=0, Vc = 10 -in (10) =0tk substitute in ③

-love = t - ln(10) RC In (10) -en (ve) = 7 RC hude . - ERC Vc = 10e -t/t Ve=10 ett 1. The 10e Ve(t) at t=t= = loe = 3.6tv ic (t)= e due c d (loete) dt de = c. o x -( x 2 loc est RC -1 at tzt it) = d . omrel = -3.67mA

- a x tho te QQ@g Design1 - Multisim - [Design1 *] Eile Edit View Place MCU Simulate Transfer Tools Reports Options Window Help BBW % @ 7. F mm 8 -- In-Use List -- an # the #Bed or 2 MISC DY X O PS Transient Design Toolbox D u Te 2- Design1 Design1 - Design2 Design2 .. .R1 1kg · . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Grapher View File Edit View Graph Trace Cursor Legend Tools Help G X BE HE] H . * 8 8 8 8 8 7 2 | A 0,9% | G | Hà Transient Transient Transient TransientTransient TransientTransientTransientTransientTransient Transient Design1 Transient Hierarchy Visibility Project View Design Design s Wabello Multisim - Friday, April 17, 2020, 11:13:03 AM Probes do not plot to the Grapher for interactive simulati Probes do not plot to the Grapher for interactive simulati Probes do not plot to the Grapher for interactive simulati Spreadsheet View Om 20m 40m 60m 80m 100m Components Copper layers Simulation Time (s) Results Nets For Help, press F1 V(2) Tran: 0.100 s 4/17/2020

27 pie ta T VE Apply Kul to the loop. avtickituc=0 ie= c dve -VHC dvert VC =0 at erdve zur Ve dt due = dt cen (v=vc) = 5 tk > 0 С

at t=0 =0 -en (u)=0tk substitute in ② RC -In (v=ve) ed en los sen(u) – en [v-ve) en lu ve ) te X CRC V-vc-en -t/Rc V-Vc e -E/Rc v-vc=ve tec Vc = V-ve Ve=vci-erc) Vc = v(1-eth) T=Rc

b) Velt) at t=20 = uci-e 2%) = uci-e?) = 0.864 V. = 0.864X10 = 8a64 volts. at t=lms, t=RC = 1kxlu = ims ve) = 10 ,-e tante) cloli-e) = 6.32 V