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Assignment 9- The Magnetic Field (1)

Assignment 9- The Magnetic Field (1) - Magnetic Field near...

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Magnetic Field near a Moving Charge A particle with positive charge is moving with speed along the z axis toward positive . At the time of this problem it is located at the origin, . Your task is to find the magnetic field at various locations in the three-dimensional space around the moving charge. Part A Which of the following expressions gives the magnetic field at the point due to the moving charge? A. B. C.

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Picture 11 Picture 12 Picture 13 Picture 14 Picture 15 Picture 16 Picture 17 Picture 18 Magnetic Field near a Moving Charge Part A D. ANSWER: A only B only C only D only both A and B both C and D both A and C both B and D Correct The main point here is that the r -dependence is really . The results from using in the numerator rather than the unit vector . A second point is that the order of the cross product must be such that the right-hand rule works: If
Magnetic Field near a Moving Charge Part A your right thumb is along the direction of the current, , your fingers must curl along the direction of the magnetic field. Part B Find the magnetic field at the point . Hint B.1 Hint not displayed Express your answer in terms of , , , and , and use , , and for the three unit vectors. ANSWER: = Correct Part C Find the magnetic field at the point . Express your answer in terms of , , , , and , and use , , and for the three unit vectors. ANSWER: = Correct Part D Find the magnetic field at the point . Hint D.1

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Magnetic Field near a Moving Charge Part C Hint not displayed Hint D.2 Hint not displayed Express your answer in terms of , , , , , and , and use , , and for the three unit vectors. ANSWER: = Correct Part E The field found in this problem for a moving charge is the same as the field from a current element of length carrying current provided that the quantity is replaced by which quantity? Hint E.1 Making a correlation Hint not displayed ANSWER: Correct
Problem 32.6 An electron moves along the y -axis with . As it passes the origin, what is the strength of the magnetic field at the following positions? Part A (0 cm, 1 cm) ANSWER: 0.0 Correct T Part B (1 cm, 0 cm) ANSWER: Part C (1 cm, 1 cm) ANSWER: 5.66×10 16 Correct T PSS 32.1: The Current Loophole Learning Goal: To practice Problem-Solving Strategy 32.1 for problems involving the magnetic field of a current. A long wire carries current . The wire is straight except for one square-shaped "half-loop" KLMN as

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PSS 32.1: The Current Loophole shown. Find the magnitude and the direction of the magnetic field at point P. Assume that is a known quantity. MODEL: Model the wire as a simple shape, such as a straight wire or a loop. VISUALIZE: For the pictorial representation: 1. Draw a picture and establish a coordinate system. 2. Identify the point P at which you want to calculate the magnetic field. 3. Divide the current-carrying wire into segments for which you already know how to determine . This is usually, though not always, a division into very short segments of length .
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