HW 5, Problem 1 **Spoiler, Don't read unless you are stuck**

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HW 5, Problem 1 **Spoiler, Don't read unless you are stuck**

Post by Melissa on Fri Nov 04, 2011 8:20 pm

This is 3.10 in the international and I think 4.12 in the US edition. My answer didnt exactly match 4.12 in the answer key, but its pretty close!
E=1/4πε ∫_(l^')▒〖R ̂^' (ρ_l dl^')/R^'2 〗 Eq 3.21c p 74 (International Edition)
R ⃑^'= y ̂0.1- z ̂z
|R ⃑'|= √(〖0.1〗^2+ z^2 )
dE=1/(4πε_0 ) R ̂'(ρ_l dl)/R^'2
dE=ρ_l/(4πε_0 ) ((y ̂0.1- z ̂z))/(〖0.1〗^2+ z^2 )^((3/2)) dz
E=ρ_l/(4πε_0 ) ∫_0^0.05▒〖( y ̂0.1-z ̂z)/(〖0.1〗^2+ z^2 )^((3/2)) dz〗
E=z ̂ ρ_l/(4πε_0 ) (y ̂10z+ z ̂)/√(〖0.1〗^1+z^2 )|■(0.05@0)
E=z ̂ (4×〖10〗^(-6))/(4π(8.854×〖10〗^(-12))) ((y ̂10(0.05)+ z ̂)/√(〖0.1〗^1+〖0.05〗^2 )- (y ̂10(0)+ z ̂)/√(〖0.1〗^1+0^2 ))
E=y ̂160.7- z ̂37.95 (kV⁄(m))

Melissa

Posts : 12
Join date : 2011-11-01
Age : 38
Location : Euless

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Re: HW 5, Problem 1 **Spoiler, Don't read unless you are stuck**

Post by Melissa on Fri Nov 04, 2011 8:21 pm

eh, looks like the formatting doesnt work exactly. If you cant decipher then ask me.

Melissa

Posts : 12
Join date : 2011-11-01
Age : 38
Location : Euless

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