An electric current is uniformly distributed throughout a long, straight wire that has a diameter of (10

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An electric current is uniformly distributed throughout a long, straight wire that has a diameter of \(10 \mathrm{~mm}\). If the current through the wire is \(3.0 \mathrm{~A}\), calculate the magnitude of the magnetic field

(a) \(4 \mathrm{~mm}\) radially away from the wire center

(b) \(12 \mathrm{~mm}\) radially away from the wire center.

(c) What must the current be to create a magnetic field of magnitude \(10^{-2} \mathrm{~T}\) at a distance of \(5 \mathrm{~cm}\) from the wire center?

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