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tessa0508
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Homework Statement
Sheet of wire is biased with an electrical potential at each end of conduct current. Given current density, J, in wire:
J=-x2y ax +xz ay + 2xyz az
A)Continuity equation to prove its possible
B) current along length of wire
C) Electric field intensity E
D) voltage drop along length of wire
E) Power in wire
Homework Equations
I= [tex]\int(J) ds[/tex]
E=J / [tex]\sigma[/tex]
P=IV
V=-[tex]\int(E) dl[/tex]
The Attempt at a Solution
A) -2xy ax + 0 + 2xy az = 0 , possible
B) = [tex]\int(2xyz)x dxdy[/tex] = [tex]\int2x^{2}yz dxdy[/tex]
= [tex]\int\frac{2x^{3}yz}{3}dy[/tex] = [tex]\frac{x^{3}y^{2}z}{3}[/tex]
C) Do I plug in the equation J or az like for B?
D) =[tex]/int[/tex](ignore this).
same question for c? if I do like B). Then:
=[tex]\int\frac{2xyz}{\sigma}[/tex] = [tex]\frac{xyz^{2}}{\sigma}[/tex]
E) P=IV = [tex]\frac{x^{4}y^{3}z^{3}}{3\sigma}[/tex]
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