Current Attempt in Progress

Tall towers support power lines $\backslash ($ h$=50\backslash$mathrm$\{$~m$\}\backslash )$ above the ground and $\backslash ($ l$=17\backslash$mathrm$\{$~m$\}\backslash )$ apart that run from a hydroelectric plant to a large city, carrying $60$ Hz alternating current with amplitude $\backslash (3\backslash$times $10^\{4\}\backslash$mathrm$\{$~A$\}\backslash )($see figure below$).$ That is$,$ the current in both of the power lines is $\backslash ($ I$=\backslash$left$(3\backslash$times $10^\{4\}$ A$\backslash$right$)\backslash$sin $(2\backslash$pi $\backslash$cdot $60\backslash$mathrm$\{$~Hz$\}\backslash$cdot t$)\backslash ).$

Part $1$

Your answer is incorrect.

$($a$)$ Calculate the amplitude $($largest magnitude$)$ and direction of the magnetic field produced by the two power lines at the base of the tower, when a current of $\backslash (3\backslash$times $10^\{4\}\backslash$mathrm$\{$~A$\}\backslash )$ in the left power line is headed out of the page, and a current of $\backslash (3\backslash$times $10^\{4\}\backslash$mathrm$\{$~A$\}\backslash )$ in the right power line is headed into the page.

magnitude

direction

Attempts: $1$ of $10$ used

Part $2$

$($b$)$ This magnetic field is not large compared to the Earth's magnetic field, but it varies in time and so might have different biological effects than the Earth's steady field. For a person lying on the ground at the base of the tower, approximately what is the maximum emf produced around the perimeter of the body, which is about $2$ m long by half a meter wide?