ASSIGN_2 - Assignment #2, PHYSICS 354/4-01 ELECTRICITY...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Assignment #2, PHYSICS 354/4-01 ELECTRICITY & MAGNETISM II Feb. 2010 Assignment #2, Page 1 of 3 y +a - a z J x closed path 2 z } l Solution to Assignment # 2 231 . 5.13, p Application of Ampère’s Law: (a) Current I o is on the wire surface only, and B has cylindrical symmetry. Path = circle around the wire. ( 29 . 0 ) 2 ( : = = < s B d B a s p l Path is not zero, \ 0 = B ( 29 = = . ) 2 ( : o o I s B d B a s m p l \ f p m ˆ 2 = s I B o o (b) Current distribution: s J b = , ( 29 , for 3 2 2 ) ( 3 0 a s s sds s a d J s I s = = = b b p p ; ( 29 = = < 3 2 ) 2 ( : 3 s I s B a s o o b p m m p 3 2 s B o b m = ( 29 = = 3 2 ) 2 ( : 3 a I s B a s o o b p m m p s a B o 3 3 b m = 231 . 5.14, p Symmetry implies knowing the direction and distribution of B in relation to the current distribution. This prompts the choice of the closed path so the line integral can be written down by inspection. Draw a rectangular path symmetrically about the xy – plane of width l and height 2 z . Based on the current density J and the right hand rule B is in the , ˆ y - if z > 0, and in , ˆ y + z < 0. Also symmetry argument can show there is no component of B along x – or z – direction. (a) Inside the slab: × = = < ) 2 ( ) 2 ( z J B d B o y a z l l l m z J B o y m = (b) Outside the slab: × = = ) 2 ( ) 2 ( a J B d B o a z l l l m a J B o y m = B z a - a m o Ja 231 . 5.16, p (a) v K vd t d dx d t d Q d I d s s s = = = = l l ) ( 2 In the absence of the bottom sheet have a symmetrical closed path around the current. 2 2 1 1 1 v B d v d B I d B o o encl o s m s m m = = = l l l In region below the top sheet alone, 2 ˆ 1 v y B o s m = . With only the bottom sheet, B above the sheet is 2 ˆ 2 v y B o s m = . [Charge is , s - s is a positive number] When both sheets are considered = ) ( 0 ) ( ˆ ) ( outside inside y v B o s m (b) ) )( ( ) ( 1 1 B v da B v dq F d × - = × = s . ) ˆ ( 2 2 1 z v B v o - = × - s m
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/15/2010 for the course PHYS 354 taught by Professor Josephshin during the Winter '10 term at Concordia Canada.

Page1 / 3

ASSIGN_2 - Assignment #2, PHYSICS 354/4-01 ELECTRICITY...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online