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 = $50 \text{cm}$
• $I_{1} = 5A, I_{2} = 10A$