PH 142 FALL 2014. WRITTEN HOMEWORK ASSIGNMENT #7 Problem 1. (10 Points). An electron with velocity of 50 ? ? ?̂ + 30 ? ? ?̂ and is located in the z plane at x=-2.5 m, y = 3 m. Find the magnetic field in the z=0 plane at x=-1m, y = 1m Answer 1.48 × 10−25? ?̂ Problem 2 (10 points) A long wire carrying current 0.1 A has the shape shown in the figure below. Find the magnetic field at point B Answer 4.81×10-7 T Problem 3. (10 points). Three infinitely long parallel wires are at the corner s of a square of side a as shown in the figure below. Each wire carries equal current I=1 Amp. Current 1 points into the page, and out to the page at 2 and 3. What is the magnitude of magnetic field at point, P? Answer 3.16×10-7 T 20 cm 10 cm I = 0.1 A 10 cm B Problem 4. (10 points). The current density in a long cylindrical conductor of radius R=15 cm varies with distance from the axis of the cylinder according to the relation J(r) = (40 A/m3) r. Find the magnetic field at the following perpendicular distances from the wire’s central axis: (a) 7.0 cm, and (b) 25 cm. Answer (a) 8.2×10-8 T (b) 2.25×10-7 T Problem 5. (10 points). A current balance is constructed in the following way: A 20-cm-Iong section of wire is placed on top of the pan of an electronic balance used in a chemistry lab. Leads are clipped to it running into a power supply and through the supply to another segment of wire that is suspended directly above it, parallel with it. (See figure below.) The distance between the two wires is L = 2.0 cm. The power supply provides a current I running through the wires. When the power supply is switched on, the reading on the balance increases by 3.0 mg (1 mg = 10-6 kg). What is the current running through the wire? Answer 3.83 A

## PH 142 FALL 2014. WRITTEN HOMEWORK ASSIGNMENT #7 Problem 1. (10 Points). An electron with velocity of 50 ? ? ?̂ + 30 ? ? ?̂ and is located in the z plane at x=-2.5 m, y = 3 m. Find the magnetic field in the z=0 plane at x=-1m, y = 1m Answer 1.48 × 10−25? ?̂ Problem 2 (10 points) A long wire carrying current 0.1 A has the shape shown in the figure below. Find the magnetic field at point B Answer 4.81×10-7 T Problem 3. (10 points). Three infinitely long parallel wires are at the corner s of a square of side a as shown in the figure below. Each wire carries equal current I=1 Amp. Current 1 points into the page, and out to the page at 2 and 3. What is the magnitude of magnetic field at point, P? Answer 3.16×10-7 T 20 cm 10 cm I = 0.1 A 10 cm B Problem 4. (10 points). The current density in a long cylindrical conductor of radius R=15 cm varies with distance from the axis of the cylinder according to the relation J(r) = (40 A/m3) r. Find the magnetic field at the following perpendicular distances from the wire’s central axis: (a) 7.0 cm, and (b) 25 cm. Answer (a) 8.2×10-8 T (b) 2.25×10-7 T Problem 5. (10 points). A current balance is constructed in the following way: A 20-cm-Iong section of wire is placed on top of the pan of an electronic balance used in a chemistry lab. Leads are clipped to it running into a power supply and through the supply to another segment of wire that is suspended directly above it, parallel with it. (See figure below.) The distance between the two wires is L = 2.0 cm. The power supply provides a current I running through the wires. When the power supply is switched on, the reading on the balance increases by 3.0 mg (1 mg = 10-6 kg). What is the current running through the wire? Answer 3.83 A

PH 142 FALL 2014. WRITTEN HOMEWORK ASSIGNMENT #7 Problem 1. … Read More...
The following information pertains to Jacobsen Co.’s accounts receivable at December 31, 2016: Days Outstanding Amount Estimated %Uncollectible 0-30 \$420,000 2% 31-60 140,000 5% 61-120 100,000 10% Over 120 120,000 20% During 2016, Jacobsen wrote off \$18,000 in receivables and recovered \$6,000 that had been written off in prior years. Jacobsen’s December 31, 2015, allowance for uncollectible accounts was \$40,000. Under the aging method, what amount of allowance for uncollectible accounts should Jacobsen report at December 31, 2016?

## The following information pertains to Jacobsen Co.’s accounts receivable at December 31, 2016: Days Outstanding Amount Estimated %Uncollectible 0-30 \$420,000 2% 31-60 140,000 5% 61-120 100,000 10% Over 120 120,000 20% During 2016, Jacobsen wrote off \$18,000 in receivables and recovered \$6,000 that had been written off in prior years. Jacobsen’s December 31, 2015, allowance for uncollectible accounts was \$40,000. Under the aging method, what amount of allowance for uncollectible accounts should Jacobsen report at December 31, 2016?

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Document Analysis Worksheet 1. Title of the document: 2. Date(s) the document was originally produced: 3. Author of this document: 4. Type of document: 5. Is this a primary source or a secondary source? 6. Who is the audience or intended recipient of the document? Be specific. 7. Why do you think this document was written? Be specific. Write in your own words. 8. List three things the author/document said that you think are important. Be specific. Write in your own words. 1. 2. 3. 9. List two things the document tells you about life in the United States at the time the document was written (if a primary source) or the time described in the document (if a secondary source). Be specific. Write in your own words. 1. 2. 10. Write a question to the author that is left unanswered by the document. Be specific. Write in your own words. Adapted from a document created by the Education Staff, National Archives and Records Administration, Washington, DC 20408

## Document Analysis Worksheet 1. Title of the document: 2. Date(s) the document was originally produced: 3. Author of this document: 4. Type of document: 5. Is this a primary source or a secondary source? 6. Who is the audience or intended recipient of the document? Be specific. 7. Why do you think this document was written? Be specific. Write in your own words. 8. List three things the author/document said that you think are important. Be specific. Write in your own words. 1. 2. 3. 9. List two things the document tells you about life in the United States at the time the document was written (if a primary source) or the time described in the document (if a secondary source). Be specific. Write in your own words. 1. 2. 10. Write a question to the author that is left unanswered by the document. Be specific. Write in your own words. Adapted from a document created by the Education Staff, National Archives and Records Administration, Washington, DC 20408

MAE 384. Advanced Mathematical Methods for Engineers. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through 1 2 of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is 1 6 of a second. p0 = [ 0 0.0004 0.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 . . . 0.0185 0.0242 0.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 . . . -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 . . . 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 ] (a) Find the real Discrete Fourier Transform for this data set. That is, nd the Fourier coe¢ cients (the Aks and Bks). (b) Any term in the Fourier series can be written: Ak cos(k!t) + Bk sin(k!t) = Ck cos(k!t + k) where Ck = q A2 k + B2 k and k = tan?1 ?Bk Ak Find the Cks and plot their amplitude vs. k to illustrate the relative size of each term in the series. (The amplitude should drop of with increasing k.) (c) Plot the function (Fourier series) and the original data on the same plot. (d) The actual loudness of the helicopter depends on the maximum peak-to-peak amplitude of the signal. Find the peak-to-peak amplitude by nding the maximum and minimum values of p0 as predicted by the Fourier series solution. Recall that a function has a maximum or a minimum when its derivative equals zero. (e) Extra Credit. Try nding Aks and Bks for k > N 2 (where N = the number of data points). Show that the resulting series does not represent the data.

## MAE 384. Advanced Mathematical Methods for Engineers. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through 1 2 of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is 1 6 of a second. p0 = [ 0 0.0004 0.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 . . . 0.0185 0.0242 0.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 . . . -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 . . . 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 ] (a) Find the real Discrete Fourier Transform for this data set. That is, nd the Fourier coe¢ cients (the Aks and Bks). (b) Any term in the Fourier series can be written: Ak cos(k!t) + Bk sin(k!t) = Ck cos(k!t + k) where Ck = q A2 k + B2 k and k = tan?1 ?Bk Ak Find the Cks and plot their amplitude vs. k to illustrate the relative size of each term in the series. (The amplitude should drop of with increasing k.) (c) Plot the function (Fourier series) and the original data on the same plot. (d) The actual loudness of the helicopter depends on the maximum peak-to-peak amplitude of the signal. Find the peak-to-peak amplitude by nding the maximum and minimum values of p0 as predicted by the Fourier series solution. Recall that a function has a maximum or a minimum when its derivative equals zero. (e) Extra Credit. Try nding Aks and Bks for k > N 2 (where N = the number of data points). Show that the resulting series does not represent the data.

clear all; clc; period = 1/6; p = [0       0.0004 … Read More...

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“How to Date a Black girl, Brown girl, Halfie or White girl” written by Junot Diaz

## “How to Date a Black girl, Brown girl, Halfie or White girl” written by Junot Diaz

A story “How to Date a Black girl, Brown girl, … Read More...