(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

State whether the following arbitary fields can describe either a magnetic field, a magnetostatic field, neither, or both. In each case justify your answer:

i) R(r) = R_{0}(x^{2},y^{2},z^{2})

ii) S(r) = S_{0}(x, -z, y)

iii) T(r) = T_{0}(-z, 0, x)

2. Relevant equations

div B= 0

3. The attempt at a solution

i) div R = R_{0}(2x, 2y, 2z)

Not a magnetic field as div B [itex]\neq[/itex] 0

ii) div S = S_{0}(1,0,0)

Not a magnetic field as div B [itex]\neq[/itex] 0

iii) div T = T_{0}(0,0,0)

Can represent a magnetic field as div B = 0

I don't know if the above is correct for the magnetic field and I don't have a clue where to start to establish a decision about them being a magnetostatic field or not!

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Maxwell's Equations - State what arbitary fields describe.

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