Can you please help with: d) Explain why i2(0−) !=i2(0+).e) Find i1(t) for t ≥ 0.f) Find i2(t) for t ≥ 0+ . 5. The switch in the figure below has been open for a long time and closes at time t = 0. a) Find ii (0) andi2(0). b) Find i1₁ (0+) and i2(0+). c) Explain why i₁(0) = ₁ (0+). d) Explain why i2(0−) !=i2(0+). e)Find i₁(t) for t≥ 0. f) Find i2(t) for t 20+3μF1V150mA1202M6026ΩΝ 12Xt=0802w2130

For the given RC circuit, we need to determine:(a) i1(0−) and i2(0−),(b) i1(0+) and i2(0+),(c) explain why i1(0−)=i1(0+),(d) explain why i2(0−)≠i2(0+), (e) i1(t) ∀ t≥0, and(f) i2(t) ∀ t≥0.For time just before closing the switch, the capacitor is in steady-state, i.e., open-circuited, as shown below.We apply nodal analysis at node A.The initial currents areThe initial capacitor voltage isAt the switch closes, and it creates a short-circuited path. We know that the voltage across the capacitor does not change simultaneously. Hence, V.The voltage across resistor is the capacitor voltage. Its current isThe current through resistor isThe equivalent resistance seen by the capacitor isThe time-constant of the circuit isWe can see that the steady-state voltage across the capacitor will be zero as there is no source present in the active path of the capacitor circuit. Hence, V.The capacitor voltage equation for time isThe current through isThe current through resistor is The current through the resistor remains constant after the switch is closed because it is connected across the capacitor, and the voltage of the capacitor does not change simultaneously.The current through the resistor is not constant because the voltage across it is changed.

Engineering

Electrical Engineering

5. The switch in the figure below has been open for a long time and closes at time t = 0. a) Find i₁ (0) and i2 (0). b) Find i1 (0+) and i2 (0+). c) Explain why i1(0) = ₁ (0+). d) Explain why i2(0-) !=i2(0+). e) Find in (t) for t≥ 0. f) Find i2(t) for t≥ 0+ 1V 150mA 1202 www 6 iz ww Xt=0 3μF HH 8Ω ww 21 30

5. The switch in the figure below has been open for a long time and closes at time t = 0. a) Find i₁ (0) and i2 (0). b) Find i1 (0+) and i2 (0+). c) Explain why i1(0) = ₁ (0+). d) Explain why i2(0-) !=i2(0+). e) Find in (t) for t≥ 0. f) Find i2(t) for t≥ 0+ 1V 150mA 1202 www 6 iz ww Xt=0 3μF HH 8Ω ww 21 30

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Can you please help with:

d) Explain why i2(0−) !=i2(0+).

e) Find i1(t) for t ≥ 0.

f) Find i2(t) for t ≥ 0+ .

5. The switch in the figure below has been open for a long time and closes at time t = 0. a) Find ii (0) and
i2(0). b) Find i1₁ (0+) and i2(0+). c) Explain why i₁(0) = ₁ (0+). d) Explain why i2(0−) !=i2(0+). e)
Find i₁(t) for t≥ 0. f) Find i2(t) for t 20+
3μF
1V
150mA
1202
M
602
6ΩΝ 12
Xt=0
802
w
21
30

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Step 2: Determine initial currents for t = 0-.

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Step 3: Determine initial currents for t = 0+.

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Step 4: Determine capacitor voltage for time t>=0.

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Step 5: Determine currents for time t>=0.

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