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aee1_2008_a08

# aee1_2008_a08 - AEE1 Assignment Fall 2008 Please Hand in...

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AEE1 Assignment, Fall 2008 Prof. S. Peik Please, Hand in This Page as Title Page ! AEE1 Assignment 8 Deadline: next Friday Name: ______________________________________ Prerequisite: Vector algebra Vector fields To be studied: Lecture Notes Chapter 7 Objectives of this Assignment: To get familiar with Magnetic Field Quantities Understand Biot-Savart’s Law Understand Magnetic Vector Potential Problem 1 2 3 4 Max. Points 6 8 - - Points Total Points: of 14 Points: Problem 1: An infinite current along a z-shaped wired is given as shown. H 2 =? y x H 1 =? a a I 1. Find the magnetic field vector vector H at the point 1 and 2 as a function of a and I ? Problem 2: A vector potential in free space is given in cylindrical coordinates by vector A = φ 2 cos φ ˆ z (1) 1. Find the magnetic field vector vector H ( 1 , π 2 , - 2 ) 2. Find the the magnetic flux Φ through the area ρ = 1 , 0 φ π 2 , 0 z 2.

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