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Unformatted text preview: Solution for Homework 14 Introduction to Magnetic Fields Solution to Homework Problem 14.1(Right Handed Coordinate Systems) Problem: If the y axis points to the right of the page and the z axis points to the top of the page, what direction does the x axis point? Select One of the Following: (a) To the left of the page. (b) To the right of the page. (c) To the top of the page. (d) To the bottom of the page. (e-Answer) Out of the page (f) Into the page Solution To yield a right handed coordinate system, ˆ x × ˆ y = ˆ z . If your fingers point out of the page and you curl your hand toward the y axis, your thumb points to the top of the page in the direction of the z axis. Therefore, the x axis points out of the page. Total Points for Problem: 3 Points Solution to Homework Problem 14.2(Magnetic Field Inside of Solenoid) Problem: An infinite solenoid has 15 turns per meter and a current of 8 . 0A . What is the magnetic field INSIDE the solenoid? Select One of the Following: (a-Answer) 1 . 5 × 10 − 4 T (b) 1 . 5 × 10 − 5 T (c) (d) Cannot be determined because the distance from the solenoid is not given. Solution The magnetic field inside an infinite solenoid is B = μ nI = (4 π × 10 − 7 Tm A )(15)(8A) = 1 . 5 × 10 − 4 T Total Points for Problem: 3 Points Solution to Homework Problem 14.3(Magnetic Field Outside of Solenoid) Problem: An infinite solenoid has 15 turns per meter and a current of 8A . What is the magnetic field OUTSIDE the solenoid? 1 Select One of the Following: (a) 1 . 5 × 10 − 4 T (b) 1 . 5 × 10 − 5 T (c-Answer) (d) Cannot be determined because the distance from the solenoid is not given. Solution The magnetic field outside an infinite solenoid is 0. Total Points for Problem: 3 Points Solution to Homework Problem 14.4(Exploding Capacitor Velocity) Problem: In the book, Electronic Gadgets for the Evil Genius , they describe an electronic pulser that uses capacitors with energy storage of 5000 . 0J . If something went wrong, and all this energy got converted into kinetic energy of a small piece of metal (say of the mass of a 45 caliber bullet m = 0 . 0149kg ), how fast would the piece of metal be going? Note this is strickly a kinetics problem, no electricity and magnetism required. Second note, be very careful with high voltage systems. For your reference, the muzzle velocity of a rifle is about 350 m s ....
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This note was uploaded on 05/04/2008 for the course PHYS 2074 taught by Professor Stewart during the Winter '08 term at Arkansas.
- Winter '08