Question: We want to generate power in order to charge a phone. We are given a coil that is circular with a radius of 30 cm that turns 250 times and has a resistance of 5 ohms. One looks up to that above you 9 meters is a straight, long power line that is estimated to have a current of 450- amps and is alternating at 100 hertz. Estimate the maximum current through your coil.

make sure to list any relevant quantities including laws used (i.e. right hand rule or biot savart for a wire )

the format for this problem is to list what building blocks/ assumptions you make followed by a physical representation of the problem (this could be a graph or figure modeling the situation), next explain what laws from electromagnetism are used followed by symbolic steps for solving the problem (no numerical values ), next plug into symbolic equations to get numerical answer (show unit cancelation as well ), next make sense of the numerical answer followed up with a special case for the symbolic answer (explain how this different case i.e changing the variables might aid in understanding the physical significance of the answer).