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Problem 7.1 PSpice|Multisim The switch in the circuit has been open for a long time. At = 0 the switch is closed. Part A Determine . Express your answer to three significant figures and include the appropriate units. ANSWER: Part B Determine . Express your answer to three significant figures and include the appropriate units. ANSWER: Part C Determine for . Express your answer in terms of , where is in seconds. ANSWER: = = =

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Page 1: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch

Problem 7.1 PSpice|Multisim

The switch in the circuit has been open for a long time. At  = 0 the switch is closed.

Part A

Determine  .

Express your answer to three significant figures and include the appropriate units.

ANSWER:

Part B

Determine  .

Express your answer to three significant figures and include the appropriate units.

ANSWER:

Part C

Determine   for  .

Express your answer in terms of  , where   is in seconds.

ANSWER:

t

(0)io

 = (0)io

(∞)io

 = (∞)io

(t)io t ≥ 0

t t

 =       (t)io A

Page 2: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch

Part D

How many milliseconds after the switch has been closed will   equal 120  ?

Express your answer to three significant figures and include the appropriate units.

ANSWER:

io mA

 = t

Page 3: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch

Problem 7.13

Designation Value ( )

R1 10

R2 15

R3 22

R4 33

R5 47

R6 68

Part A

Given  , use the minimum number of resistors from the table to create a network of resistors, thatshould be connected to inductor to get first­order   circuit (see the figure) with a time constant of 1  .

Express subcircuit using parallel(||) and series(+)buttons. For example, for capacitor C1 parallel­connected to series­connected resistors R1 and R2enter (R1+R2)||C1.

ANSWER:

Part B

Suppose the inductor has an initial current of 10  . Write an expression for the current through the inductorfor  .

Express your answer in terms of  , where   is in milliseconds.

ANSWER:

Ω

L = 10 mHRL ms

mAt ≥ 0

t t

Page 4: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch

Part C

Using your result to calculate the time at which half of the initial energy stored in the inductor has beendissipated by the resistor.

Express your answer with the appropriate units.

ANSWER:

 =       i(t) mA

 = t

Page 5: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch

Problem 7.24

Part A

What percentage of the initial energy stored in the capacitor in is dissipated by the 40   resistor? Suppose that  = 60   .

Express your answer using three significant figures.

ANSWER:

kΩR kΩ

 diss =       % %

Page 6: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch

Problem 7.28 PSpice|Multisim

The switch in the circuit has been in position 1 for a long time before moving to position 2 at  .

Part A

Find   for  .

Express your answer in terms of  , where   is in milliseconds.

ANSWER:

t = 0

(t)io t ≥ 0+

t t

 =       (t)io A

Page 7: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch

Problem 7.34 PSpice|Multisim

At the time the switch is closed in the circuit, the voltage across the paralleled capacitors is 50   and the voltage onthe   capacitor is 40  . Take that   = 180   ,   =760   and   = 250   .

Part A

What percentage of the initial energy stored in the three capacitors is dissipated in the 24   resistor?

Express your answer using two decimal places.

ANSWER:

Part B

What percentage of the initial energy stored in the three capacitors is dissipated in the 400   resistor?

Express your answer using two decimal places.

ANSWER:

Part C

What percentage of the initial energy stored in the three capacitors is dissipated in the 16   resistor?

Express your answer using two decimal places.

ANSWER:

VC3 V C1 nF C2nF C3 nF

 diss =       % %

Ω

 diss =       % %

 diss =       % %

Page 8: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch

Part D

What percentage of the initial energy is trapped in the capacitors?

Express your answer using two decimal places.

ANSWER:

 trapped =       % %

Page 9: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch
Page 10: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch
Page 11: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch
Page 12: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch
Page 13: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch
Page 14: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch
Page 15: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch
Page 16: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch
Page 17: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch
Page 18: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch
Page 19: Problem 7.1 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_01_solution_WI16.pdfThe switch in the circuit has been open for a long time. At = 0 the switch