You are now studying a length of wire that has been coiled up to create a circul

Question

You are now studying a length of wire that has been coiled up to create a circular coil of 8 turns (individual loops) all arranged compactly. The loop has radius of 0.0230 m and a current of 38.6 A. is passing through the wire. What is the strength of the magnetic field at the center of the loop?

Lastly, you are handed a long solenoid. The special characteristic of an infinitely-long solenoid is that the magnetic field inside the solenoid is uniform. There are 4.52Ý103 turns over a length of 0.160 m and a current of 2.92 A flows through the wire. What is the strength of the magnetic field inside the solenoid?

Can you please show me how you do this problem???

Thanks!

Explanation / Answer

a)

B=Uo*N*I/2R

B=(4pi*10^-7)*8*38.6/(2*0.023)

B=8.436*10^-3 T or 8.436 mT

b)

B=uo*n*I

where n=N/L =4.52*10^3/0.16

n=28250 turns/m

B=(4pi*10^-7)*28250*2.92

B=0.1037 T or 103.66 mT

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.