Problem 7.90 PSpice|Multisim - Computer Action...

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Problem 7.90 PSpice|Multisim The energy stored in the capacitor in the circuit is zero at the instant the switch is closed. The ideal operational amplifier reaches saturation in 18 . Part A What is the numerical value of in kiloohms, if = 310 ? ANSWER: =

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Page 1: Problem 7.90 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_03_solution_WI16.pdf · Problem 7.90 PSpice|Multisim The energy stored in the capacitor in

Problem 7.90 PSpice|Multisim

The energy stored in the capacitor in the circuit is zero at the instant the switch is closed. The ideal operationalamplifier reaches saturation in 18 .

Part A

What is the numerical value of in kilo­ohms, if = 310 ?

ANSWER:

ms

R C nF

= R kΩ

Page 2: Problem 7.90 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_03_solution_WI16.pdf · Problem 7.90 PSpice|Multisim The energy stored in the capacitor in

Problem 8.2 PSpice|Multisim

The circuit elements in the circuit in are = 100 , = 5 , and = 200 . The initial inductor current is

­0.3 , and the initial capacitor voltage is 25 .

Part A

Find the expression for for .

ANSWER:

R ΩC μF L mH

A V

v(t) t ≥ 0

70, 000t + 50 Ve−1000t e−1000t

35, 000t − 50 Ve−1000t e−1000t

70, 000t + 25 Ve−1000t e−1000t

70, 000t − 50 Ve−1000t e−1000t

35, 000t + 25 Ve−1000t e−1000t

35, 000t + 50 Ve−1000t e−1000t

70, 000t − 25 Ve−1000t e−1000t

35, 000t − 25 Ve−1000t e−1000t

Page 3: Problem 7.90 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_03_solution_WI16.pdf · Problem 7.90 PSpice|Multisim The energy stored in the capacitor in

Problem 8.7

The voltage response for the circuit in is known to be ,

where is in seconds. The initial current in the inductor is ­25 , and the initial voltage on the capacitor is 5 . The resistor has a value of 50 .

Part A

Find the value of .

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

ANSWER:

Part B

Find the value of .

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

ANSWER:

Part C

Find the value of .

Express your answer using three significant figures.

ANSWER:

v(t) = t + , t ≥ 0D1 e−80t D2 e−80t

t( )I0 mA( )V0 V Ω

L

= L

C

= C

D1

= D1 V/s

Page 4: Problem 7.90 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_03_solution_WI16.pdf · Problem 7.90 PSpice|Multisim The energy stored in the capacitor in

Part D

Find the value of .

Express your answer using three significant figures.

ANSWER:

Part E

Find for .

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

ANSWER:

D2

= D2 V

(t)iC t ≥ 0+

t t

= iC mA

Page 5: Problem 7.90 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_03_solution_WI16.pdf · Problem 7.90 PSpice|Multisim The energy stored in the capacitor in

Problem 8.24 PSpice|Multisim

The initial energy stored in the circuit in the figure is zero. At , a dc current source of 24 is applied to thecircuit. The value of the resistor is 400 .

Part A

Find for ;

ANSWER:

Part B

Find for ;

ANSWER:

t = 0 mAΩ

v(t) t ≥ 0

32( + ) Ve−20,000t e−40,000t

16( − ) Ve−20,000t e−80,000t

16( − ) Ve−20,000t e−40,000t

32( − ) Ve−20,000t e−80,000t

16( + ) Ve−20,000t e−80,000t

16( + ) Ve−20,000t e−40,000t

32( + ) Ve−20,000t e−80,000t

32( − ) Ve−20,000t e−40,000t

(t)iR t ≥ 0

Page 6: Problem 7.90 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_03_solution_WI16.pdf · Problem 7.90 PSpice|Multisim The energy stored in the capacitor in

Part C

Find for ;

ANSWER:

40( − 2 ) mAe−20,000t e−80,000t

40( + 2 ) mAe−20,000t e−80,000t

20( − ) mAe−20,000t e−80,000t

20( − 2 ) mAe−20,000t e−80,000t

20( + 2 ) mAe−20,000t e−80,000t

20( + ) mAe−20,000t e−80,000t

40( − ) mAe−20,000t e−80,000t

40( + ) mAe−20,000t e−80,000t

(t)iC t ≥ 0

−8 + 32 mAe−20,000t e−80,000t

−8 − 32 mAe−20,000t e−80,000t

−8 + 16 mAe−20,000t e−80,000t

−4 − 32 mAe−20,000t e−80,000t

−4 + 16 mAe−20,000t e−80,000t

−8 − 16 mAe−20,000t e−80,000t

−4 + 32 mAe−20,000t e−80,000t

−4 − 16 mAe−20,000t e−80,000t

Page 7: Problem 7.90 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_03_solution_WI16.pdf · Problem 7.90 PSpice|Multisim The energy stored in the capacitor in

Problem 8.31 PSpice|Multisim

The switch in the circuit in has been open for a long timebefore closing at = 0.

Part A

Find for .

ANSWER:

t

(t)io t ≥ 0

3 − 1200t + 6 Ae−800t e−800t

3 − 1200t − 6 Ae−800t e−800t

6 − 1200t − 3 Ae−800t e−800t

3 − 1200t + 3 Ae−800t e−800t

6 − 1200t + 6 Ae−800t e−800t

3 − 1200t − 3 Ae−800t e−800t

6 − 1200t + 3 Ae−800t e−800t

6 − 1200t − 6 Ae−800t e−800t

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Problem 8.39

The current in the circuit in the followin figure is known to be .

The capacitor has a value of 80 ; the initial value of the current is 6 ; and the initial voltage on the capacitoris ­21 .

Part A

Find the value of .

Express your answer with the appropriate units.

ANSWER:

Part B

Find the value of .

Express your answer with the appropriate units.

ANSWER:

Part C

Find the value of .

Express your answer with the appropriate units.

ANSWER:

i = cos1500t + sin1500t, t ≥ 0B1 e−2000t B2 e−2000t

nF mAV

R

= R

L

= L

B1

Page 9: Problem 7.90 PSpice|Multisim - Computer Action Teamweb.cecs.pdx.edu/~tymerski/ece222/HW_03_solution_WI16.pdf · Problem 7.90 PSpice|Multisim The energy stored in the capacitor in

Part D

Find the value of .

Express your answer with the appropriate units.

ANSWER:

= B1

B2

= B2

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