a) The circuit below has three resistors with values R₁-10 S2, R₂-20 S2, R3-30 S2, one initially (t=0) uncharged 0.001 F capacitor, and a 30 V battery. Find all the currents at t=0 (right after the switch is closed,) all the currents a long time after the switch is closed (at steady state), and the charge on the capacitor at t→∞. At time ti, once steady state with the switch close has been effectively reached, the switch is reopened. Find the currents at this time, right after reopening the switch. Make sure to make your reasoning clear! ww R₁ - 18 S www R₂ www. I₁ 12 13 Qc t=0 0 t→∞ T=ti b) What is the maximum rate at which the capacitor's charge changes in the circuit above? c) Explain in words (physics, not math) the steady state current through R3 in the circuit above after a long time with the switch closed, and then a long time after the switch is re-opened (a long time after t₁.) An explanation requires both telling me what it is AND why it is that.

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter20: Capacitance In Ac Circuits
Section: Chapter Questions
Problem 2PA: You are working in an industrial plant. You have been instructed to double the capacitance connected...
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a) The circuit below has three resistors with values R₁-10 S2, R₂-20 S2, R3-30 S2, one initially (t=0) uncharged 0.001 F capacitor, and
a 30 V battery. Find all the currents at t=0 (right after the switch is closed,) all the currents a long time after the switch is closed (at
steady state), and the charge on the capacitor at t→∞.
At time ti, once steady state with the switch close has been effectively reached, the switch is reopened. Find the currents at this time,
right after reopening the switch.
Make sure to make your reasoning clear!
R₁
- 18
S
www
R₂
www.
I₁
12
13
Qc
t=0
0
t→∞
T=ti
b) What is the maximum rate at which the capacitor's charge changes in the circuit above?
c) Explain in words (physics, not math) the steady state current through R3 in the circuit above after a long time with the switch
closed, and then a long time after the switch is re-opened (a long time after t₁.) An explanation requires both telling me what
it is AND why it is that.
Transcribed Image Text:a) The circuit below has three resistors with values R₁-10 S2, R₂-20 S2, R3-30 S2, one initially (t=0) uncharged 0.001 F capacitor, and a 30 V battery. Find all the currents at t=0 (right after the switch is closed,) all the currents a long time after the switch is closed (at steady state), and the charge on the capacitor at t→∞. At time ti, once steady state with the switch close has been effectively reached, the switch is reopened. Find the currents at this time, right after reopening the switch. Make sure to make your reasoning clear! R₁ - 18 S www R₂ www. I₁ 12 13 Qc t=0 0 t→∞ T=ti b) What is the maximum rate at which the capacitor's charge changes in the circuit above? c) Explain in words (physics, not math) the steady state current through R3 in the circuit above after a long time with the switch closed, and then a long time after the switch is re-opened (a long time after t₁.) An explanation requires both telling me what it is AND why it is that.
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