Answer to Question #192104 in Electricity and Magnetism for john

Question

A solenoid is being constructed to yield a uniform 1T magnetic field from its center. A long wire is used to make 300 turns around this conductor. If the solenoid has to be 60cm long and 6cm in diameter, determine the electric current needed to produce the given magnetic field. 

Answer 1

We know,

$B = \dfrac{\mu_0NI}{L}$

We have given that,

$B=1T$

$N = 300$

$L = 0.6m$

$\mu_0 = 1.25 \times 10^{-6}$

$1 = \dfrac{1.25 \times 10^{-6}\times 300 \times I}{0.6}$

$I = 1600A$