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hansbahia
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Homework Statement
J=J(r)(θhat), J(r)=(3ITr2)/R3
a)total current of the disk?
b)J(r) was brought by a charge disk spinning at ang vel. ω, find the surface charge dens σ(r)?
Homework Equations
J=I/πr2
I=∫Jda
J=vσ
The Attempt at a Solution
a)I assumed I would have to integrate J(r)da from 0 to R to get the total current
I=from 0 to R∫Jda=from 0 to R∫(3ITr2)/R32πrdr
I=(3πITR)/2
But the result doesn't make sense?
How can I prove?
b) σ= (3ITr2(θhat))/R3ωrθ
am I using the right expression "θ" for the rotating angle or should I use ∅?
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