A Wire of Radius R Carries a Current I

question 18

Multiple Choice

A wire of radius R carries a current I.The current density is given by the function J = J₀ (1 - r/R) where r is measured from the center of the wire and J₀ is a constant.Use Ampère's law to find the magnetic field inside the wire at a distance r < R from the axis.What is the magnitude of B if I = 1A,R = 1.5 mm,and r = 1 mm?

• A)12 mT
• B)37 µT
• C)1.5 T
• D)45 mT
• E)148 µT

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