Question #325975

Consider a solenoid that is 50 cm long and has a cross-sectional area of 5 cm2. It is wound with 400 turns of wire, and a current of 2.3 A is supplied to it. Assume that its core has a relative permeability of 400. How much flux is in the solenoid?


1
Expert's answer
2022-04-11T12:07:06-0400

The magnetic field inside a solenoid

B=μnI=kμ0NLIB=\mu n I=k\mu_0\frac{N}{L}I

B=4004π1074000.52.3=0.924TB=400*4\pi*10^{-7}*\frac{400}{0.5}*2.3=0.924\:\rm T

The magnetic flux

Φ=BA=0.9245104=4.6104Wb\Phi=BA\\ =0.924*5*10^{-4}=4.6*10^{-4}\:\rm Wb


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