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Proving the B field in a wire only has theta component?
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[QUOTE="Simon Bridge, post: 4984809, member: 367532"] You'll end up having to solve a system of DEs. Note: you can write the equations better in LaTeX... i.e. [SIZE=4]$$\vec B = B_r\hat r + B_\theta\hat\theta + B_\phi\hat\phi \\ -\frac{\partial B}{\partial r}\hat\theta + \frac{1}{r}\frac{\partial}{\partial r}\left(rB_\theta\right) \hat z = 0$$ ... If I understand you correctly that the last equation is supposed to be ##\nabla\cdot(\nabla\times\vec B) = 0## then that does not look right to me. Please show your working.[/SIZE] [/QUOTE]
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Proving the B field in a wire only has theta component?
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