hw13 - Physics 21 Fall, 2008 Solution to HW-13 28-11 A...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: Physics 21 Fall, 2008 Solution to HW-13 28-11 A long, straight wire lies along the z axis and carries a 4.10 A current in the + z direction. Find the magnetic field (magnitude and direction) produced at the following points by a 0.400 mm segment of the wire centered at the origin: (a) x = 2 . 00 m, y = 0, z = 0, (b) x = 0, y = 2 . 00 m, z = 0, (c) x = 2 . 00 m, y = 2 . 00 m, z = 0, (d) x = 0, y = 0, z = 2 . 00 m. The length (0.400 mm) of the wire segment with the cur- rent is tiny compared to the distance (two or more meters) from the segment to the points where the field is wanted, so we can use the differential form of the Biot-Savart Law: d B = 4 Id l ( r- r ) | r- r | 3 . The current point r is at the origin, so r = 0. Also, d l = dl k , and dl = 4 . 00 10 4 m. Writing all distances in meters, and using k i = j , k j =- i , k k = 0 , we have: (a) for the field point r = 2 . 00 i , d B = 4 Idl k 2 i 2 3 = 4 . 10 10 11 T j (b) for the field point r = 2 . 00 j , d B = 4 Idl k 2 j 2 3 =- 4 . 10 10 11 T i (c) for the field point r = 2 . 00 i + 2 . 00 j , d B = 4 Idl k (2 i + 2 j ) (4 + 4) 3 / 2 = 1 . 45 10 11 T(- i + j ) (d) for the field point r = 2 . 00 k , d B = 4 Idl k 2 k 2 3 = 0 28-19 A long, straight wire lies along the y axis and car-...
View Full Document

This note was uploaded on 02/09/2009 for the course PHYS 021 taught by Professor Hickman during the Fall '08 term at Lehigh University .

Page1 / 2

hw13 - Physics 21 Fall, 2008 Solution to HW-13 28-11 A...

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