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Consider an infinitely long solid metallic cylinder having axis along k^\hat{k} . Consider a plane passing through axis of cylinder cutting it in two equal parts. In one part is a uniformly distributed current I1k^I_{1} \hat{k} and in another part is a uniformly distributed current I2k^-I_{2} \hat{k}. As always, task is simple, find the magnitude of magnetic field on the axis of cylinder in μT\mu T.

Details and assumptions:

  • μ0=4π×107\mu_{0} = 4 \pi \times 10^{-7}
  • circumference of cylinder = 50cm50 \text{cm}
  • I1=5A,I2=10AI_{1} = 5A, I_{2} = 10A
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