Problem 1:Consider the RC circuit in Figure 1. You may assume that the switch has been closed long enough for the voltagesand currents to reach steady-state values. At time t = 0 the switch is opened0v(t)Rsi(t)VsRBRAFigure 1: The switch in the RC circuit is opened at time t 0Find the voltage v(0and the current i(0just before the switch is opened1.Find the voltage v(0) and the current i(0) immediately after the switch is opened23Justify your answer in one or two sentencesFind the voltage v(oo) and the current i(oo) after the switch has been opened for a very long time.Find a differential equation that describes the response of the voltage v(t) for t 2 0.4

Question
Asked Nov 4, 2019
11 views
Problem 1:
Consider the RC circuit in Figure 1. You may assume that the switch has been closed long enough for the voltages
and currents to reach steady-state values. At time t = 0 the switch is opened
0
v(t)
Rs
i(t)
Vs
RB
RA
Figure 1: The switch in the RC circuit is opened at time t 0
Find the voltage v(0
and the current i(0
just before the switch is opened
1.
Find the voltage v(0) and the current i(0) immediately after the switch is opened
2
3
Justify your answer in one or two sentences
Find the voltage v(oo) and the current i(oo) after the switch has been opened for a very long time.
Find a differential equation that describes the response of the voltage v(t) for t 2 0.
4
help_outline

Image Transcriptionclose

Problem 1: Consider the RC circuit in Figure 1. You may assume that the switch has been closed long enough for the voltages and currents to reach steady-state values. At time t = 0 the switch is opened 0 v(t) Rs i(t) Vs RB RA Figure 1: The switch in the RC circuit is opened at time t 0 Find the voltage v(0 and the current i(0 just before the switch is opened 1. Find the voltage v(0) and the current i(0) immediately after the switch is opened 2 3 Justify your answer in one or two sentences Find the voltage v(oo) and the current i(oo) after the switch has been opened for a very long time. Find a differential equation that describes the response of the voltage v(t) for t 2 0. 4

fullscreen
check_circle

Expert Answer

Step 1

(1)

 

For the v(0-) and i(0-), the capacitor C acts as open circuit because for a long time, it was closed and it is at steady state. Thus, the current at that instant is,

(0) 0
help_outline

Image Transcriptionclose

(0) 0

fullscreen
Step 2

The voltage at that instant is,

(0)=", (0)
v.R
Ri +R
help_outline

Image Transcriptionclose

(0)=", (0) v.R Ri +R

fullscreen
Step 3

(2)

 

When the switch is opened, the capacitor C does not discharge instantane...

(0)= (0)
v.R
RA+R
help_outline

Image Transcriptionclose

(0)= (0) v.R RA+R

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A spring with spring constant k = 80 N/m has an equilibrium length of 1.00 m. The spring is compress...

A: Click to see the answer

question_answer

Q: Number 4

A: Click to see the answer

question_answer

Q: An initially 'compressed' spring (x1 = 0.4m) is observed to compress an additional 0.4 m before stop...

A: Given:Initial compression in the spring = 0.4 mAdditional compression in the spring = 0.4 mFinal com...

question_answer

Q: Accomplished silver workers in India can pound silver into incredibly thin sheets, as thin as 3.00 x...

A: Click to see the answer

question_answer

Q: An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.20s. It ...

A: the total vertical distance travelled is ,

question_answer

Q: Chapter 28, Problem 049 Your answer is partially correct. Try again. The figure shows a rectangular,...

A: Given values:No. of turns, N = 18Area of the coil, A = length x breath = 9.9 cm x 4.0 cm = 39.6 cm2 ...

question_answer

Q: A container with volume 1.63 L is initially evacuated. Then it is filled with 0.226 g of N2. Assume ...

A: Write the expression for the rms speed (root mean square speed) of the gas molecules.

question_answer

Q: 13. o Laht aters curved side ot a Semi-cylindrical dish ot water alng a radius hne at an anle of -25...

A: Given:Angle of incidence = 25οRefractive index if water, n = 1.333 

question_answer

Q: A mass hanging from a vertical spring is somewhat more complicated than a mass attached to a horizon...

A: The free body diagram is,Direction of force = downward