{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# 329sp10hw1sol - ECE 329 Spring 2010 Homework 1 Solution Due...

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

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECE 329 Spring 2010 Homework 1 - Solution Due: Jan. 26, 2010 1. a) D = A + B = 4 b x + 2 b y- 3 b z. b) A + B- 4 C = 4 b x + 2 b y- 3 b z- 4( b x- 2 b y + 3 b z ) = 10 b y- 15 b z. c) | A + B- 4 C | = p 10 2 + 15 2 = 18 . 03 . d) A + 2 B- C = (3 b x + b y- 2 b z ) + 2( b x + b y- b z )- ( b x- 2 b y + 3 b z ) = 4 b x + 5 b y- 7 b z, | A + 2B- C | = p 4 2 + 5 2 + 7 2 = 9 . 49 , ˆ u = A + 2B- C | A + 2B- C | = 4 b x + 5 b y- 7 b z 9 . 49 = 0 . 42 b x + 0 . 53 b y- . 74 b z. e) A · B = (3 b x + b y- 2 b z ) · ( b x + b y- b z ) = 3 × 1 + 1 × 1 + (- 2) × (- 1) = 6 . f) B × C = ( b x + b y- b z ) × ( b x- 2 b y + 3 b z ) = b x × ( b x- 2 b y + 3 b z ) + b y × ( b x- 2 b y + 3 b z )- b z × ( b x- 2 b y +3 b z ) = (- 2 b z- 3 b y ) + (- b z + 3 b x )- ( b y + 2 b x ) = b x- 4 b y- 3 b z. 2. In the three cases, we have the same E and B at the origin, but di erent v . Thus, we have di erent F . In each case, v and F must satisfy F = q ( E + v × B ) . Therefore, we have the following three....
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

329sp10hw1sol - ECE 329 Spring 2010 Homework 1 Solution Due...

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

View Full Document
Ask a homework question - tutors are online