Problem 1: Prove the following vector form of the conservation laws: aU ƏF ¸ 8G, 8H pu pv U = pw pu pr? +p- ta pvu – Tzy F = pwu - Tz p(e+)u+pu - k% ƏT - ut- Vty – wtg pv puv – Tyz pr² +p- Tyy G = pwv – Tyz +pv – k - utya - Viyy - włyz pw puw - Ta pvw – Toy H = pw² +p- T w+pw – k- utg– Vizy – Włz J={ Pfy p(4f%+vf, + wf%) + pġ )

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 1: Prove the following vector form of the conservation laws:
aU ƏF , 8G , 8H
+
+
pu
U =
pw
e+.
pu
pu? +p- t
pvu - Ty
F =
pwu – Tz
Ju+pu – k
uTx- Vtzy – wtz
pv
puv – Tyz
pv² +p- tyy
G =
pwv – Tyz
v+pv – k
ду
Ple+
UTya – Vtyy – wtyz
pw
puw - Ta
H = { pw - ty
pw² +p- Tz
w+pw-k-
- Wtz
J ={ Pfy
p(4f£+vf, + wf.) + pġ.
Transcribed Image Text:Problem 1: Prove the following vector form of the conservation laws: aU ƏF , 8G , 8H + + pu U = pw e+. pu pu? +p- t pvu - Ty F = pwu – Tz Ju+pu – k uTx- Vtzy – wtz pv puv – Tyz pv² +p- tyy G = pwv – Tyz v+pv – k ду Ple+ UTya – Vtyy – wtyz pw puw - Ta H = { pw - ty pw² +p- Tz w+pw-k- - Wtz J ={ Pfy p(4f£+vf, + wf.) + pġ.
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