Hello, a step by step guide would be greatly appreciated. Only for the first set of questions A-F. Please follow the NOTES & SUGGESTIONS at the bottom when solving, answering what is asked as I need to make sure of fully understanding, thanks so much :) Consider the following circuit, with R = 20.RAssume first that v, = 12V-u(-t) and X is a capacitor with C = 25mF.+(a) What is the initial energy stored in the capacitor?(b) Write an expression for the voltage v as a function of time, thenUscompute v at t = t, 2t, and 3t.(c) Write an expression for the current i through the capacitor as afunction of time, then compute i at the same three instants of time.(d) Write an expression for the power delivered by the capacitor as a function of time. Atwhat time is the power delivered maximum? What is the value of the power delivered atthat time?(e) Sketch voltage, current, and power delivered vs. time from t = 0 tot= 10t.(f) Integrate your expression for power delivered to show that the total energy delivered bythe capacitor is exactly equal to the initial energy stored.Assume now that v, = 12V-u(t) and X is an inductor with L = 50mH.(g) What is the final energy stored in the inductor?(h) Write an expression for the current i as a function of time, then compute i at t = t, 2t, and3t.(i) Write an expression for the voltage v across the inductor as a function of time, thencompute v at the same three instants of time.(j) Write an expression for the power absorbed by the inductor as a function of time. Atwhat time is the power absorbed maximum? What is the value of the power absorbed atthat time?(k) Sketch current, voltage, and power absorbed vs. time from t = 0 to t= 107.(1) Integrate your expression for power absorbed to show that the total energy absorbed bythe inductor is exactly equal to the final energy stored.Show your work and verify.NOTES and SUGGESTIONSUse mJ for the energy stored.You may use MATLAB or Python to compute values and/or to make the sketches.Each set of sketches should be on one page, but on three pairs of axes, arranged vertically.That is, you should not use one pair of axes for all three graphs, as they are different fromeach other. However, they share the same time axis, so they should be arrangedvertically. Further, the three graphs for the capacitor should be separate from the threegraphs for the inductor.You must do parts (d) and (j) on your own, i.e., you should be able to find the derivative,set it equal to 0, and solve for the time yourself. (If you plot the functions using MATLABor Python, you will be able to confirm your calculations.) For the inductor, power is NOTmaximum at t = 0.Likewise, you must do parts (f) and (1) on your own.

Answered: Consider the following circuit, with R…

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...

See similar textbooks

Related questions

Concept explainers

Question

Hello, a step by step guide would be greatly appreciated. Only for the first set of questions A-F. Please follow the NOTES & SUGGESTIONS at the bottom when solving, answering what is asked as I need to make sure of fully understanding, thanks so much :)

Consider the following circuit, with R = 20.
R
Assume first that v, = 12V-u(-t) and X is a capacitor with C = 25mF.
+
(a) What is the initial energy stored in the capacitor?
(b) Write an expression for the voltage v as a function of time, then
Us
compute v at t = t, 2t, and 3t.
(c) Write an expression for the current i through the capacitor as a
function of time, then compute i at the same three instants of time.
(d) Write an expression for the power delivered by the capacitor as a function of time. At
what time is the power delivered maximum? What is the value of the power delivered at
that time?
(e) Sketch voltage, current, and power delivered vs. time from t = 0 tot= 10t.
(f) Integrate your expression for power delivered to show that the total energy delivered by
the capacitor is exactly equal to the initial energy stored.
Assume now that v, = 12V-u(t) and X is an inductor with L = 50mH.
(g) What is the final energy stored in the inductor?
(h) Write an expression for the current i as a function of time, then compute i at t = t, 2t, and
3t.
(i) Write an expression for the voltage v across the inductor as a function of time, then
compute v at the same three instants of time.
(j) Write an expression for the power absorbed by the inductor as a function of time. At
what time is the power absorbed maximum? What is the value of the power absorbed at
that time?
(k) Sketch current, voltage, and power absorbed vs. time from t = 0 to t= 107.
(1) Integrate your expression for power absorbed to show that the total energy absorbed by
the inductor is exactly equal to the final energy stored.
Show your work and verify.
NOTES and SUGGESTIONS
Use mJ for the energy stored.
You may use MATLAB or Python to compute values and/or to make the sketches.
Each set of sketches should be on one page, but on three pairs of axes, arranged vertically.
That is, you should not use one pair of axes for all three graphs, as they are different from
each other. However, they share the same time axis, so they should be arranged
vertically. Further, the three graphs for the capacitor should be separate from the three
graphs for the inductor.
You must do parts (d) and (j) on your own, i.e., you should be able to find the derivative,
set it equal to 0, and solve for the time yourself. (If you plot the functions using MATLAB
or Python, you will be able to confirm your calculations.) For the inductor, power is NOT
maximum at t = 0.
Likewise, you must do parts (f) and (1) on your own.

Expert Solution

Step 1

Given :

In the above given question they have mentioned an electrical circuit having independent voltage source, resistor and capacitors which are connected in series.

Here they are interested in the calculation of of current and voltage in the capacitor.

According to the the given excitation we need to perform the transient analysis in the circuit.

Here we should analyse the transient and steady state analysis of a capacitor for the calculation of current time voltage across it.

Vc(t) & Ic(t) instantaneous voltage and currents in the capacitor.

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions