Because V acts only on the unprimed coordinates, the term Vx J(F'") vanishes and because the integral is over the primed coordinates, we can take the curl outside the integral to yield B(F) 47 - x (1–42) As the divergence of any curl vanishes (11) we note in passing that 7 . B(F) = 0, (1–43)

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please derive the equation 1-42 and 1-43

Because V acts only on the unprimed coordinates, the term Vx J(F') vanishes and
because the integral is over the primed coordinates, we can take the curl outside
the integral to yield
J(F')
B(F) =
(1–42)
As the divergence of any curl vanishes (11) we note in passing that
ỹ · B(F') = 0,
(1–43)
Transcribed Image Text:Because V acts only on the unprimed coordinates, the term Vx J(F') vanishes and because the integral is over the primed coordinates, we can take the curl outside the integral to yield J(F') B(F) = (1–42) As the divergence of any curl vanishes (11) we note in passing that ỹ · B(F') = 0, (1–43)
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