The timing of an intermittent windshield wiper is controlled by a variable resistor in a resistor-capacitor...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The timing of an intermittent windshield wiper is controlled by a variable resistor in a resistor-capacitor circuit. A 12 volt battery charges the capacitor. When the voltage across the capacitor reaches 10 volts, a switch closes to discharge the capacitor and energize the electric motor that moves the windshield wiper. Then the process repeats with the battery charging the capacitor again. Task 1 (5 points) The voltage across the capacitor follows the equation dv 1 1 + V= ·vb dt RC RC Where R = 30,000 ohms (resistance), C = 0.0001 F (capacitance), v= 12 V (battery voltage). Solve the ODE using the methods from 2.2 or 2.3 and write v as a function of time (show all your work). Also, plot your solution v(t) with the initial condition v = 0 (any plotting software is fine). Note that the units given are consistent, so there is no need to do any unit conversions to use the equation. Task 2 (5 points) Use the same C, vb, and initial condition values in Task 1. Let R be a constant, but its value still to be determined. Find the resistance that is required to have the windshield wiper move every 10 seconds? In other words, what resistance is required for the capacitor to reach 10 V in 10 seconds? (Show all your work). Also, plot v(t) for this case. Task 3 (5 points) Use the same C, V₁, and initial condition values in Task 1. Let R be a constant, but its value still to be determined. Find the resistance that is required to have the windshield wiper move every 5 seconds? In other words, what resistance is required for the capacitor to reach 10 V in 5 seconds? (Show all your work). Also, plot v(t) for this case. The timing of an intermittent windshield wiper is controlled by a variable resistor in a resistor-capacitor circuit. A 12 volt battery charges the capacitor. When the voltage across the capacitor reaches 10 volts, a switch closes to discharge the capacitor and energize the electric motor that moves the windshield wiper. Then the process repeats with the battery charging the capacitor again. Task 1 (5 points) The voltage across the capacitor follows the equation dv 1 1 + V= ·vb dt RC RC Where R = 30,000 ohms (resistance), C = 0.0001 F (capacitance), v= 12 V (battery voltage). Solve the ODE using the methods from 2.2 or 2.3 and write v as a function of time (show all your work). Also, plot your solution v(t) with the initial condition v = 0 (any plotting software is fine). Note that the units given are consistent, so there is no need to do any unit conversions to use the equation. Task 2 (5 points) Use the same C, vb, and initial condition values in Task 1. Let R be a constant, but its value still to be determined. Find the resistance that is required to have the windshield wiper move every 10 seconds? In other words, what resistance is required for the capacitor to reach 10 V in 10 seconds? (Show all your work). Also, plot v(t) for this case. Task 3 (5 points) Use the same C, V₁, and initial condition values in Task 1. Let R be a constant, but its value still to be determined. Find the resistance that is required to have the windshield wiper move every 5 seconds? In other words, what resistance is required for the capacitor to reach 10 V in 5 seconds? (Show all your work). Also, plot v(t) for this case.
Expert Answer:
Answer rating: 100% (QA)
Task 1 The given firstorder linear ordinary differential equation ODE is dvdt1RCv1RCvb The general f... View the full answer
Related Book For
Posted Date:
Students also viewed these general management questions
-
Explain the Stuxnet virus. Be sure to cover what its goals were thought to be, how successful it was in accomplishing those goals, the possible methods of initial system infections, how it was...
-
Classify the following items as per their respective category with regards to value chain, quality cost, activity based costing and theory of constraints. The items given are mismatched and needs to...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
A potential difference of 1.20 V will be applied to a 33.0 m length of 18-gauge copper wire (diameter = 0.0400 in.). Calculate (a) The current, (b) The magnitude of the current density, (c) The...
-
The following items were taken from the accounting records of Murfreesboro Telephone Corporation (MTC) for the year ended December 31, 2015 (dollar amounts are in thousands): Accounts payable . . . ....
-
The following data summarizes in part the results of operations for 2021 of Place Company. Of the total cost of goods manufactured for 2021, 38% was for materials used, 30% for direct labor, and 32%...
-
Which of the following management theorists conducted the famous experiment at the Hawthorne Electric Plant in which employee productivity increased regardless of the type of intervention implemented...
-
The gas-phase reaction between methanol and acetic acid to form methyl acetate and water CH 3 OH + CH 3 COOH = CH 3 COOCH 3 + H 2 O (A) (B) (C) (D) Takes place in a batch reactor and proceeds to...
-
1) Roger Behm (5:37 in video, device strapped to his head) a. Problem: b. Method of instigating plasticity: 2) Cheryl Schultz (7:54 in video, riding a bike) a. Problem: b. Method of instigating...
-
The company has made the following profit-sharing contributions to the retirement plan for Archie and Elaine for each of the related years. 2021 2020 2019 2018 2017 2016 Balance 1/1/16 Archie None...
-
A 220V, 750 rpm 200A separately excited dc motor has an armature & field resistances of 005 & 20 respectively. Load torque is given by the expression TL=500-02N N-m where N is the speed in...
-
Community Catering (CC) began as a "meals on wheels" agency, providing dinners to elderly people and individuals who were permanently or temporarily homebound. Almost all of its clients were single...
-
Lopez Company is considering replacing one of its old manufacturing machines. The old machine has a book value of $47,000 and a remaining useful life of five years. It can be sold now for $57,000....
-
The data is about the store that sells wine and other alcohols beverages. 1) What is your recommendation regarding the price for Product No 2114 and the price for Product No 3804. Use the data you...
-
In Figure 1, determine the point (other than infinity) where the electric field is zero. Leave q1 = - 1.80 /C and 92 = 6.80 /C. 91 -1.00 m Figure 1 92
-
The purpose of this assignment is to provide an introduction to Excel's what-if analysis.In cost accounting determining the relationships between cost, volume and profit are very important. This...
-
What are possible career paths in the field of Human Resources Management (HRM) and how might different organizations develop and implement a strategic HRM plan?
-
In Exercises discuss the continuity of each function. f(x) -3 1 x - 4 y 3 2 -1 -2 -3+ 3 X
-
In Problems 5772, list the intercepts and test for symmetry. 25x + 4y = 100
-
In Problems 1116, select a setting so that each of the given points will lie within the viewing rectangle. (-10, 5), (3,-2), (4, -1)
-
The force exerted by the wind on a plane surface varies directly with the area of the surface and the square of the velocity of the wind. If the force on an area of 20 square feet is 11 pounds when...
-
Change the type and value of variables in the nutri data set according to Table 1.2 and save the data as a CSV file. The modified data should have eight categorical features, three floats, and two...
-
Visit the UCI Repository https://archive.ics.uci.edu/. Read the description of the data and download the Mushroom data set agaricuslepiota. data. Using pandas, read the data into a DataFrame called...
-
It frequently happens that a table with data needs to be restructured before the data can be analyzed using standard statistical software. As an example, consider the test scores in Table 1. 3 of 5...
Study smarter with the SolutionInn App