Question

A long, straight wire of diameter 5.0 mm carries a uniformly distributed current of

15 A. At what distance from the axis of the wire will the magnitude of

B



be

maximum? Justify your answer

Answer 1

$$B=\frac{\mu_0I}{2\pi x},x\geq r$$

Maximum will be at the x=r:

$$B=\frac{4\pi \cdot 10^{-7}(15)}{2\pi (0.0025)}=0.0012\ T=1.2\ mT$$