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HW5-sol

# HW5-sol - 5a/USHO“ ECE604 Homework#5 Out Wednesday Due...

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Unformatted text preview: 5a/USHO“ ECE604 Homework #5 . Out: Wednesday, February 11, 2009 Due: Monday, February 16, 2009 Announcements: Exam in class Wednesday 2/ 18/2009. Covers electrostatics and magnetostatics (chapters 1, 2, and parts of 7, including lectures up through Friday, Feb. 13.) See web for formula sheet to be provided with exam. These problems are from the text by Ramo, Whinnery, and Van Duzer (3rd edition, 1994) or are attached. 1) 2) 3) 4) 5) 2.9c Note: Here we assumer << 2, where r and z are understood as cylindrical coordinates variables. This is different than the case covered in class where r >> a, with a equal to the radius of current loop and r defined as in spherical coordinates. Your result for E should be same as text example 2.3a. 2.12c 2.13a 2.13b A material with permeability u is uniform except for a spherical cavity of radius a (with permeability no). A magnetic field is applied that is uniform (B = B02) far away from the spherical cavity. Solve for the B field inside the spherical cavity. [Hintz I suggest to use the scalar magnetic potential approach] I l l l = —L%§;(—a¢ 4) =17; r- (“Wax—Ag? ' «L- a A MA _ _3/\ V 5-V«A——ar¢-acr 4’ E=acr5¢ A A A , A Vi;— g 33 1 3. 9mm) +§\Q_.o)+%ka~s)=e . M as gi .. 33 u « -— :_ ,IL 3"»: z T 3”“ ” is” H“ Y ‘23 :9? §M=E¢ +cm5+a~+ 0542/4277 (Ao- . fig _ f." /*‘ waxy/op é/(JW JﬂW'L f‘rfﬁfk + C we . FL 6‘0 5 SPAR“? 7421M , Iﬁ‘mé ) ...
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