# A problem from my book 13

Electricity and Magnetism Level 4

A current of $$I=10 \text{ A}$$ flows in a wire shaped in a form of a parabola $$y^2=4x$$ as shown in the figure. Find the magnetic induction due to this infinite parabola at the focus i.e $$(1,0)$$.

The answer is of form $$k \times 10^a \text{ T}$$. Find $$ka + k + a$$.

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