div Ē = 0, div B = 0, curl Ē = c ôt curl B с д Use these equations to prove the following. a) V x (V x E) 1 PĒ = -- b) V × (V × B) : 1 ºB = -- c) (V - V)Ē = 1 ³Ē d) (V - ỹ)B = 2 at2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Hello, I need help with the following problem !

div Ē = 0,
div B = 0, curlĒ
curl B
c ôt
1 ĐỂ
c ôt
Use these equations to prove the following.
1 ³Ē
a) Vx (V x Ề
= -
b) V x (V x B)
= - -
1 ²Ē
c) (V . ỹ)Ē =
d) (V . ỹ)B =
1 8B
c2 Ət?
Transcribed Image Text:div Ē = 0, div B = 0, curlĒ curl B c ôt 1 ĐỂ c ôt Use these equations to prove the following. 1 ³Ē a) Vx (V x Ề = - b) V x (V x B) = - - 1 ²Ē c) (V . ỹ)Ē = d) (V . ỹ)B = 1 8B c2 Ət?
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