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# Two conducting strips, having infinite length in the z direction, lie in the xz plane. One occupies the region d/2 < x < b + d/2 and carries surface current density $\mathbf{K}=K_{0} \mathbf{a}_{z};$ the other is situated at −(b + d/2) < x < −d/2 and carries surface current density $-K_{0} \mathbf{a}_{z}.$ (a) Find the force per unit length in z that tends to separate the two strips. (b) Let b approach zero while maintaining constant current, $I=K_{0} b,$ and show that the force per unit length approaches $\mu_{0} I^{2} /(2 \pi d) \mathrm{N} / \mathrm{m}.$

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