Maximun power delivered to a resistor.

1. The problem statement, all variables and given/known data

Find the maximun possible power delivered to the resistor. Given current through a power line. And the length of the loop that will receive the induced emf.
2. Relevant equations

B= uo*I/2pi*ρ
Vemf= -d/dt ∫B*dS
3. The attempt at a solution

Here’s my attempted solution:

I just need to know if the answer is correct.

Thanks a lot guys.

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