HW5 - MAE146 Astronautics – Homework Assigned Wednesday...

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Unformatted text preview: MAE146: Astronautics – Homework Assigned: Wednesday, January 20 th , 2010 Due date: Friday , January 22 th , 2010, (at the beginning of the lecture) Please justify all of your answers. Write your answer cleanly with sentences and diagrams to explain. Don’t forget to write your name on your copy to receive credit. Problem 1 (10pts): On the magnetic field of the Earth We have seen in class that the magnetic field generated by the Earth can be approximated as the field of a magnetic dipole with magnetic moment vectorm located at the center of the Earth: vector B = − μ ∇ vectorm.vector r 4 πr 3 , where μ = 4 π × 10- 7 H.m- 1 ( H stands for Henry, the SI unit for inductance). 1. Show that the magnetic field vectors are contained in the planes containing vectorm and the center of the Earth. Show that the magnetic field lines are orthogonal to the plane orthogonal to vectorm and passing throught the center of the Earth (assumed to be the equatorial plane in this problem). How does the magnitude of the magneticof the Earth (assumed to be the equatorial plane in this problem)....
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