Question #204666

 Calculate the magnitudes of magnetic intensity vector H and magnetic field vector B at the

centre of a 2500-turn solenoid which is 0.50 m long and carries a current of 1.0 A.

(uo= 4π x 10-7Hm-1)



1
Expert's answer
2021-06-09T08:06:01-0400

Magnetic field at the center of a solenoid

B=μ0NILB=\frac{\mu_0NI}{L}

B=4π.107TmA.2500. 1.0A0.5m=6.28 .103TB=\frac{4\pi.10^{-7}\frac{Tm}{A}.2500.\space1.0A}{0.5m}=6.28\space ^.10^{-3}T

Magnitude of magnetic intensity:

B=μ0H,B=\mu_0H,

H=Bμ0=6.28 .103T4π.107TmA=4997Am.H=\frac{B}{\mu_0}=\frac{6.28\space^.10^{-3}T}{4\pi ^.10^{-7} \frac{Tm}{A}}=4997\frac{A}{m}.


B=6.28.103T,H=4997Am.B=6.28^.10^{-3}T,H=4997 \frac{A}{m}.



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