Half down and half up!

Consider an infinitely long solid metallic cylinder having axis along \(\hat{k}\) . Consider a plane passing through axis of cylinder cutting it in two equal parts. In one part is a uniformly distributed current \(I_{1} \hat{k}\) and in another part is a uniformly distributed current \(-I_{2} \hat{k}\). As always, task is simple, find the magnitude of magnetic field on the axis of cylinder in \(\mu T\).

Details and assumptions:

  • \(\mu_{0} = 4 \pi \times 10^{-7}\)
  • circumference of cylinder = \(50 \text{cm}\)
  • \(I_{1} = 5A, I_{2} = 10A\)
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