Figure a shows an element of length $\mathbf{ds}\mathbf{=}\mathbf{1}\mathbf{.}\mathbf{00}\mathbf{}\mathbf{\mu m}$in a very long straight wire carrying current. The current in that element sets up a differential magnetic field at points in the surrounding space. Figure b gives the magnitude$\mathbf{d}\overrightarrow{\mathbf{B}}$of the field for points$\mathbf{2}\mathbf{.}\mathbf{5}\mathit{c}\mathit{m}$from the element, as a function of angle u between the wire and a straight line to the point. The vertical scale is set by${\mathbf{dB}}_{\mathbf{s}}\mathbf{=}\mathbf{}\mathbf{60}\mathbf{.}\mathbf{0}\mathbf{}\mathbf{pT}$. What is the magnitude of the magnetic field set up by the entire wire at perpendicular distance$\mathbf{2}\mathbf{.}\mathbf{5}\mathit{c}\mathit{m}$from the wire?

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