Question #244032

A coil of wire 7 m long and with 220 turns carries a current of 1.6 A.            

  1. What is the magnitude of the magnetic field strength?                   


  1. Calculate the flux density if the coil is in a vacuum. 
  2. (Permeability of a vacuum is 1.257 × 10–6H/m.)                       


  1. Calculate the flux density inside a bar of carbon steel that is positioned within the coil. 




                                                     



1
Expert's answer
2021-09-29T18:35:06-0400

Part(1)B=μ0NI2πrPart(1)\\B=\frac{\mu_0 NI}{2\pi r}

B=4π×220×1.62π×7B=\frac{4\pi \times220\times1.6}{2\pi \times7}

B=1.0057×105TB=1.0057\times10^{-5}T

Part(2)


B=μ0H(1+χ)B=\mu_0H(1+\chi)

H=NilH=\frac{Ni}{l}

H=220×1.67=50.28A/mH=\frac{220\times1.6}{7}=50.28A/m

χ=μμ01\chi=\frac{\mu}{\mu_0}-1

Put value


χ=1.257×1064π×1071=7.96×104\chi=\frac{1.257\times10^{-6}}{4\pi\times10^{-7}}-1=7.96\times10^{-4}

B=4π×107×50.28(1+7.96×104)B=4\pi\times10^{-7}\times50.28(1+7.96\times10^{-4})

B=6.320×106TB=6.320\times10^{-6}T


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS