HW6_Typed

# HW6_Typed - Homework 6 Note In order to have consistent...

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: Homework # 6 Note: In order to have consistent results, use the following to solve the questions. Cartesian Coordinates (x,y,z) Cylindrical Coordinates ) , , ( z φ ρ Spherical Coordinates ) , , ( φ θ r 2 2 2 2 2 2 2 ˆ ˆ ˆ . ˆ ˆ ˆ ˆ ˆ ˆ z V y V x V V A A A z y x a a a A z A y A x A A a z V a y V a x V V a A a A a A A z y x z y x z y x z y x z z y y x x ∂ ∂ + ∂ ∂ + ∂ ∂ = ∇ ∂ ∂ ∂ ∂ ∂ ∂ = × ∇ ∂ ∂ + ∂ ∂ + ∂ ∂ = ∇ ∂ ∂ + ∂ ∂ + ∂ ∂ = ∇ + + = 2 2 2 2 2 2 1 ) ( 1 ˆ ˆ ˆ 1 ) ( 1 . ˆ ˆ 1 ˆ ˆ ˆ ˆ z V V V V A A A z a a a A z A A A A a z V a V a V V a A a A a A A z z z z z z ∂ ∂ + ∂ ∂ + ∂ ∂ ∂ ∂ = ∇ ∂ ∂ ∂ ∂ ∂ ∂ = × ∇ ∂ ∂ + ∂ ∂ + ∂ ∂ = ∇ ∂ ∂ + ∂ ∂ + ∂ ∂ = ∇ + + = φ ρ ρ ρ ρ ρ ρ φ ρ ρ φ ρ ρ ρ ρ φ ρ ρ φ ρ φ ρ φ ρ φ ρ φ φ ρ ρ 2 2 2 2 2 2 2 2 2 2 2 sin 1 ) (sin sin 1 ) ( 1 ) sin ( ˆ ) sin ( ˆ ˆ sin 1 sin 1 ) sin ( sin...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

HW6_Typed - Homework 6 Note In order to have consistent...

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

View Full Document
Ask a homework question - tutors are online