Al long, nonconducting cylinder of length L and radius R is placed along the axis of...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Al long, nonconducting cylinder of length L and radius R is placed along the axis of an infinitely long. very thin-walled conducting cylindrical shell of radius 4R. The charge on the inner cylinder is +Q and is uniformly distributed throughout its volume. The charge on the outer cylindrical shell is-2Q and is uniformly distributed along its length. -L-1 -2Q +Q R 4R Cross-Sectional View Note: Figures not drawn to scale. (a) Derive an expression for the volume charge density of the inner cylinder. Express your answer in terms of Q. R. L. and physical constants, as appropriate. Please respond on separate paper, following directions from your teacher. (b) Derive an expression for the electric field E (r) for the following regions. Express your answer in terms of Q. r. L. and physical constants, as appropriate. ir<R Please respond on separate paper, following directions from your teacher. ii. R<r <4R Please respond on separate paper, following directions from your iii. r > 4R teacher. Please respond on separate paper, following directions from your teacher. (c) The cross-sectional view is reproduced below. On the figure below, sketch electric field lines in the regions r < R. R<r < 4R, and r> R. The field lines should point in the direction of the electric field in that region. ● Please respond on separate paper, following directions from your teacher. (d) An electron is released from a point a distance r = 6R from the central axis of the cylinder. The following data are collected for the electron's acceleration a as a function of the magnitude of the electric field E. 1.8 x 104 1.3 x 104 9.2 x 10³ 7.0 x 10³ 5.6 x 10³ a 3.3 x 1015 2.0 x 1015 1.5 x 1015 1.4 x 1015 1.0 x 10¹5 i. Indicate below which quantities should be graphed to yield a straight line whose slope could be used to calculate a numerical value for the charge to mass ratio of an electron. Vertical axis: Horizontal axis: Use the remaining columns in the table above, as needed, to record any quantities that you indicated that are not given. Please respond on separate paper, following directions from your teacher. ii. Plot the data points for the quantities indicated in part (d) (i) on the graph below. Clearly scale and label all axes including units, if appropriate. Draw a straight line that best represents the data. TT LL ++ ГГГ LIL ELL IL ++ TTT 11 TT ГГГ 111 TT LLL rrr 111 TT II TTT TTI Trr 111 LLL Frrr IL TT 111 LLI FFF TT: ||| LLL T T IE 144. ITE 111 tt HI LII ·FFF III -++ III TTT -ttt 111 LLU -FFF Please respond on separate paper, following directions from your teacher. +++ TT iii. Use the straight line graph to calculate a value for the charge to mass ratio of an electron Please respond on separate paper, following directions from your teacher. Al long, nonconducting cylinder of length L and radius R is placed along the axis of an infinitely long. very thin-walled conducting cylindrical shell of radius 4R. The charge on the inner cylinder is +Q and is uniformly distributed throughout its volume. The charge on the outer cylindrical shell is-2Q and is uniformly distributed along its length. -L-1 -2Q +Q R 4R Cross-Sectional View Note: Figures not drawn to scale. (a) Derive an expression for the volume charge density of the inner cylinder. Express your answer in terms of Q. R. L. and physical constants, as appropriate. Please respond on separate paper, following directions from your teacher. (b) Derive an expression for the electric field E (r) for the following regions. Express your answer in terms of Q. r. L. and physical constants, as appropriate. ir<R Please respond on separate paper, following directions from your teacher. ii. R<r <4R Please respond on separate paper, following directions from your iii. r > 4R teacher. Please respond on separate paper, following directions from your teacher. (c) The cross-sectional view is reproduced below. On the figure below, sketch electric field lines in the regions r < R. R<r < 4R, and r> R. The field lines should point in the direction of the electric field in that region. ● Please respond on separate paper, following directions from your teacher. (d) An electron is released from a point a distance r = 6R from the central axis of the cylinder. The following data are collected for the electron's acceleration a as a function of the magnitude of the electric field E. 1.8 x 104 1.3 x 104 9.2 x 10³ 7.0 x 10³ 5.6 x 10³ a 3.3 x 1015 2.0 x 1015 1.5 x 1015 1.4 x 1015 1.0 x 10¹5 i. Indicate below which quantities should be graphed to yield a straight line whose slope could be used to calculate a numerical value for the charge to mass ratio of an electron. Vertical axis: Horizontal axis: Use the remaining columns in the table above, as needed, to record any quantities that you indicated that are not given. Please respond on separate paper, following directions from your teacher. ii. Plot the data points for the quantities indicated in part (d) (i) on the graph below. Clearly scale and label all axes including units, if appropriate. Draw a straight line that best represents the data. TT LL ++ ГГГ LIL ELL IL ++ TTT 11 TT ГГГ 111 TT LLL rrr 111 TT II TTT TTI Trr 111 LLL Frrr IL TT 111 LLI FFF TT: ||| LLL T T IE 144. ITE 111 tt HI LII ·FFF III -++ III TTT -ttt 111 LLU -FFF Please respond on separate paper, following directions from your teacher. +++ TT iii. Use the straight line graph to calculate a value for the charge to mass ratio of an electron Please respond on separate paper, following directions from your teacher.
Expert Answer:
Answer rating: 100% (QA)
Here are the stepbystep workings and responses to the questions on a separate sheet of paper a Deriv... View the full answer
Related Book For
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
Posted Date:
Students also viewed these accounting questions
-
An infinitely long cylindrical insulating shell of inner radius a and outer radius b has a uniform volume charge density 1. A line of uniform linear charge density A is placed along the axis of the...
-
Solve the inequalities in Problems 4150. 7-5A < 2A + 7
-
Truck Company owns a 90% interest in Trailer Company on January 1, 2015, when Trail has the following stockholders' equity: Common stock ($10 par). . . . . . . . . . . . . . . . . . . . $100,000...
-
Given the following information for Jane Cole, complete Schedule D of Form 1040 through Part III. Stock options, which she purchases on February 14 of the current year for $850, expire on October 1....
-
Lisa Sheraton, accountant for Chase Home Finance, was injured in a boating accident. Another employee prepared the accompanying income statement for the year ended December 31, 2008. The individual...
-
On December 28, 2011, Videotech Corporation (VTC) purchased 10 units of a new satellite uplink system from Tristar Communications for $25,000 each. The terms of each sale were 1/10, n/30. VTC uses...
-
A creamery purchases three different types of cheese: panela cheese at $3.75 per pound, goat cheese at $7.10 per pound, and Oaxaca cheese at $4.50 per pound. The daily demand for each cheese is 45,...
-
CableTech Bell Corporation (CTB) operates in the telecommunications industry. CTB has two divisions: the Phone Division and the Cable Service Division. The Phone Division manufactures telephones in...
-
Consider a sequence defined by: Using the definition of the limit show that the sequence diverges. 8 = In and Un+1 = (3un +1 ifUnisodd if Uniseven
-
reproduced here from your text (about page 514, Section 15.2.3) shows the market for federal funds when the economy is away from the "flat portion" of the D curve. Notice that the supply of reserves...
-
es c. His $535,500 of taxable income includes $50,000 of long-term capital gain that is taxed at preferential rates. Assume his modified AGI is $570,000. Income tax Net investment income tax Total...
-
20. Enzymatic reactions can be expressed in which of the following chemical notations? a. S + P = E b. P + P = E c. E + S = P d. S + S = P 21. Enzymes that remove functional groups from a substrate...
-
Assume a company worked on four jobs during June: Jobs W , X , Y , and Z . At the end of June, the job cost sheets for these four jobs contained the following data: Job W Job X Job Y Job Z Beginning...
-
Joyce owns a gas station and monopolizes gas sales along a remote stretch of road. In February, Joyce stayed open even though she earned negative economic profits. a. Draw a correctly labeled graph...
-
3 Choose the incorrect option regarding Isomerism * (1 Point) Constitutional isomers differ in both physical and chemical properties Constitutional isomers have different empirical formula There are...
-
At the beginning of its fiscal year, Lakeside Inc. leased office space to LTT Corporation under a seven-year operating lease agreement. The contract calls for quarterly rent payments of $25,000 each....
-
A physics student walks down a long hall carrying a vibrating 512-Hz tuning fork. The end of the hall is closed so that sound reflects from it. The student hears a sound of 516 Hz from the wall. How...
-
Find the total translational kinetic energy of 1 L of oxygen gas held at a temperature of 0oC and a pressure of 1 atm.
-
In 1993, a giant yo-yo of mass 400 kg and measuring about 1.5 m in radius was dropped from a crane 57 m high. Assuming the axle of the yo-yo had a radius of r = 0.1 m, find the velocity of the...
-
In tax year 2023-24, a landlord receives a premium of 36,000 when granting a 25-year lease to a tenant. How much of this premium is chargeable to income tax?
-
Ryan owns a dwelling house which he lets to a tenant. Rent is payable monthly in advance on the first day of each month. The rent was 600 per month until 1 January 2024, when it was increased to 650....
-
Edward has the following income in 2023-24: He makes a total of 800 of Gift Aid donations during 2023-24. Compute the amount of income tax payable for the year.
Study smarter with the SolutionInn App