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EECT111 Notes Using MultiSim, Excel and hand calculations create a set of notes that show how to: 1.) Multiple resistors combine in series and parallel. 2.) By example calculate RT, IT, PT, and all the nodal voltages, branch currents and power dissipation of a resistor network. 3.) By example calculate the Thevenin Resistance and Voltage of a resistor network. 4.) Multiple capacitors combine in series and parallel. 5.) Multiple inductors combine in series and parallel. 6.) Using a simple RC circuit determine the a.) Time Constant. Create a graph that shows the RC time constant as a function of time b.) Determine XC at a fixed frequency. Create a graph that shows how XC changes as a function of frequency 7.) Using a simple RL circuit determine the a.) Time Constant b.) Create a graph that shows the RL time constant as a function of time b.) Determine XL at a fixed frequency d.) Create a graph that shows how XL changes as a function of frequency EECT111 Notes - Resistors 1.) Multiple resistors combined in series and parallel A 1 R1 = 2 R2 = 3 R3 = 4 RT = B 1.0E+3 2.2E+3 3.3E+3 6.5E+3 A 1 R4 = 2 R5 = 3 R6 = 4 RT = R1 1kΩ XMM1 R2 2.2kΩ RT=B1+B2+B3 B 1.0E+3 2.2E+3 3.3E+3 568.97 XMM2 R4 1kΩ RT R T R1 R 2 R 3 Series B 1.0E+3 1.0E+3 1.0E+3 1.0E+3 250.00 R6 3.3kΩ RT=1/((1/B1)+(1/B2)+(1/B3)) R3 3.3kΩ A 1 R7 = 2 R8 = 3 R9 = 4 R10 = RT = R5 2.2kΩ 1 1 1 1 R R R 4 5 6 Parallel – more than 3 unequal resistors XMM3 R7 1kΩ R8 1kΩ R9 1kΩ R10 1kΩ A B 1 R11 = 2.2E+3 2 R12 = 4.7E+3 3 RT = 1498.55 4 XMM4 R11 2.2kΩ R12 4.7kΩ RT=(B1*B2)/(B1+B2) RT=B1/4 RT Parallel – multiple equal value resistors R7 4 RT R 11 x R 12 R 11 R 12 Parallel – two unequal value resistors EECT111 Notes 2.) RT, IT, PT, and all the nodal voltages, branch currents and power dissipation of a resistor network. A 1 Vin = 2 R1 = 3 R2 = 4 R3 = 5 R4 = 6 R5 = 7 R6 = 8 RL = 9 R12 = 10 R123 = 11 R45 = RL6 = 12 RL456 = 13 RT = 14 IT = 15 VB = 16 VC = 17 IProbe5 = 18 IProbe6 = 19 IProbe3 = 20 IProbe2 = 21 IProbe7 = 22 IProbe8 = 23 VA = B 9 2.2E+3 4.7E+3 6.8E+3 3.3E+3 3.3E+3 4.7E+3 47.0E+3 6.9E+3 3.4E+3 1.7E+3 4.3E+3 5.9E+3 9.3E+3 962.8E-6 5.70 4.11 481.4E-6 481.4E-6 484.9E-6 477.9E-6 875.3E-6 87.5E-6 7.95 C D E F G H I: 485 uA R3 Probe3 V: 9.00 V I: 963 uA R12=B2+B3 R123=(B4*B9)/(B4+B9) R45=B5/2 RL6=(B7*B8)/(B7+B8) RL456=B11+B12 RT=B10+B13 IT=B1/B14 VB=B13*B15 VC=B12*B15 IProbe5=(B16-B17)/B5 IProbe6=(B16-B17)/B6 IProbe3=(B1-B16)/B4 IProbe2=B15-B20 IProbe7=B17/B7 IProbe8=B17/B8 VA=B1-(B2*B21) VA 2.2kΩ Probe2 Probe1 V1 9V J K L M V: 5.70 V 6.8kΩ R1 Vin I V: 7.95 V I: 478 uA R2 4.7kΩ VB Probe4 Probe5 Probe6 R4 3.3kΩ R5 3.3kΩ I: 481 uA I: 481 uA VC V: 4.11 V I: 875 uA PR1 = PR2 = PR3 = PR4 = PR5 = PR6 = PRL = PT = PT check = 502.4E-6 1.1E-3 1.6E-3 764.8E-6 764.8E-6 3.6E-3 360.1E-6 8.665E-3 8.665E-3 PR1=B21^2*B2 PR2=B21^2*B3 PR3=B20^2*B4 PR4=B18^2*B5 PR5=B19^2*B6 PR6=(B17^2)/B7 PRL=(B17^2)/B8 PT=B1*B15 PT check=SUM(G16:G22) Probe7 Probe8 R6 4.7kΩ RL 47kΩ I: 87.5 uA N EECT111 Notes 3.) Thevenin Resistance and Voltage of a resistor network. A B 1 Vin = 9 2 R1 = 2.2E+3 3 R2 = 4.7E+3 4 R3 = 6.8E+3 5 R4 = 3.3E+3 6 R5 = 3.3E+3 7 R6 = 4.7E+3 8 R12 = 6.9E+3 9 R123 = 3.4E+3 10 R45 = 1.7E+3 11 R12345 = 5.1E+3 12 RTH = 2.44E+3 13 VTH = 4.327 C D E R12=B2+B3 R123=(B4*B8)/(B4+B8) R45=B5/2 R12345=B9+B10 RTH=(B11*B7)/(B11+B7) VTH=(B1*B7)/(B7+B11) EECT111 Notes 4a.) Capacitors in parallel EECT111 Notes 4b.) Two or more unequal capacitors in series EECT111 Notes 4c.) Capacitors of equal value in series EECT111 Notes 4d.) Only 2 Capacitors in series EECT111 Notes 5a.) Inductors in series EECT111 Notes 5b.) Three or more unequal inductors in parallel EECT111 Notes 5c.) Multiple equal value inductors in parallel EECT111 Notes 5d.) Two unequal value inductors in parallel EECT111 Notes 6a.) RC Time Constant EECT111 Notes 6b.) XC & Capacitor Impedance EECT111 Notes 7.) RL Time Constant & XL & Inductor Impedance