Answer to Question #324159 in Physics for Justin

Question

What should be the length of an ideal solenoid consisting of 1250 turns for

the magnetic field in its interior to be 0.025 T?

A current of 2.0 A is flowing

through the solenoid.

Answer 1

The magnetic field inside the solenoid

$$B=\mu_0NI/L$$

Hence, the length of a solenoid

$$L=\mu_0NI/B\\ =4\pi*10^{-7}*1250*2.0/0.025\\ =0.0628\:\rm m=6.3\: cm$$