Answer to Question #324159 in Physics for Justin

Question #324159

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.

1
Expert's answer
2022-04-05T19:19:00-0400

The magnetic field inside the solenoid

B=μ0NI/LB=\mu_0NI/L

Hence, the length of a solenoid

L=μ0NI/B=4π10712502.0/0.025=0.0628m=6.3cmL=\mu_0NI/B\\ =4\pi*10^{-7}*1250*2.0/0.025\\ =0.0628\:\rm m=6.3\: cm


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