Question: Derive a mathematical model for the electrical system represented in figure 1(a) below. Determine the Laplace Transform function. Using the Laplace Transform method, find

Derive a mathematical model for the electrical system represented in figure 1(a) below. Determine the Laplace

Derive a mathematical model for the electrical system represented in figure 1(a) below. Determine the Laplace Transform function. Using the Laplace Transform method, find the voltage across the capacitor given the input voltage, V, is 12 V, the resistance is 3 k2, the capacitance is 500 uFarads and the inductance is 1 kHenrys. What is voltage across the capacitor 1 sec after the switch is closed? -> R X Figure 1(a) L C Vo

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Solution The electrical system represented in Figure 1a can be modeled using the following mathemati... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Assume that there exists a best-first search algorithm in which the objective function is f(n) = (2w) g(n) + w.h(n), where f is the evaluation function, g is the path cost from the initial state to...

Find a mathematical model for the verbal statement. 1. A varies directly as the square of r. 2. V varies directly as the cube of l. 3. Y varies inversely as the square of x. 4. H varies inversely as...

please answer questions using figure 3a ,3b Q3) Figure Q3 (a) illustrates a solenoid with a retum spring. (Total mark =40\%) Figure Q3(a) The voltage v(t) across the winding. causes a current u(t) to...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Hello, you already did chapter 1 and 2 of my MASTERS Thesis already for me. (See attached) So normally you know masters thesis consist of 5 chapters right ??..... But in this case my thesis will be 4...

Math 1152 Project #4 Solving Initial Value Problems using Power Series and the Laplace Transform Due: Tuesday, April 11 Name(s): - - - - - - - - - - - - - - - - - - - - Description - - - - - - - - -...

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

Applied Mathematics and Computation 95 (1998) 181192 Love dynamics: The case of linear couples Sergio Rinaldi 1 Centro Teoria dei Sistemi, CNR, Politecnico di Milano, Via Ponzio 34/5, 20133 Milan,...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Suppose that in Zephyronia all is as in the previous problem except that there are alternative ways of producing good 2, some of which produce less pollution than others. A method of production that...

Referring to Exercise 8.21 (page 307), regard the sample of five trial runs (which has standard deviation 19.65) as a preliminary sample. Determine the number of trial runs of the chemical process...

Find the length of the curve x = y 3 3 + 1 4 yfrom y = 1 to y = 2 . x = \ frac { y ^ 3 } { 3 } + \ frac { 1 } { 4 y } \ quad \ text { from } y = 1 \ text { to } y = 2 . x = 3 y 3 + 4 y 1 from y = 1...

Respond to the following: Use the internet to find an example of two corporate innovations one brought about through autonomous strategic behavior and one developed through induced strategic...

The table below shows the market for AA batteries in Tulsa. Oklahoma when Tornadoes threaten the area. Refer to the figure below. Market for AA Batteries When Tulsa Is Threatened By Tornadoes...

For the below question find the solution for your chossen mathematical problem. Find and choose a single mathematical problem that has both solved and unsolved Cases.

Given ellipse C : x 2 /a 2 +y 2 /b 2 =1 ( a>b>0 ). Ellipse C passes through the point P : (1,3/2) , and has eccentricity e=1/2 . Given line : x=4 . AB is the chord that intersects line on point M ,...

I am getting 52 for velocity and 108.7m for distance but my teacher said it is wrong. Could you please help me with this question. HINT: TO SOLVE THIS QUESTION INTEGRATE a ONCE TO GET v AND TWICE TO...

Mario, a calendar-year taxpayer, filed his 2024 federal income tax return on October 1,2025. His return showed an overpayment of $1,100, for which he requested a full refund. The IRS refunds the...

Find the general solution of the given differential equation. Give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general...

Solve the given differential equation. (6x + 1)y 2 dy/dx + 3x 2 + 2y 3 = 0

In the following figure (a) suppose that the y-axis and the dashed vertical line x = 1 represent, respectively, the straight west and east beaches of a river that is 1 mile wide. The river flows...

An object with cross section A is shot horizontally across frictionless ice. Its initial velocity is v 0x at t 0 = 0 s. Air resistance is not negligible. a. Show that the velocity at time t is given...

FIGURE Q7.11 shows two masses at rest. The string is massless and the pulley is frictionless. The spring scale reads in kg. What is the reading of the scale? Figure Q7.11

The hand in FIGURE Q7.13 is pushing on the back of block A. Blocks A and B, with m B > m A , are connected by a massless string and slide on a frictionless surface. Is the force of the string on B...