Question #318855

A solenoid has a magnetic reluctance of 0.0022. It has 300 turns. If the current flowing is 0.5 A, find the total flux in max wells.


1
Expert's answer
2022-03-28T14:25:21-0400

Reluctance

r=Iμ0Ar=\frac{I}{\mu_0 A}

A=Iμ0rA=\frac{I}{\mu_0 r}


A=0.54×3.14×107×0.0022=18.09××107m2A=\frac{0.5}{4\times3.14\times10^{-7}\times0.0022}=18.09\times\times10^{7}m^2

Magnetic field

B=μ0niB=\mu_0 ni


B=4×3.14×107×300×0.5=1.884×104TB=4\times3.14\times10^{-7}\times300\times0.5=1.884\times10^{-4}T

Magnetic flux


ϕ=BA=1.884×104×18.09×107=34.081×103T\phi=BA=1.884\times10^{-4}\times18.09\times10^{7}=34.081\times10^{3}T


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