To construct a solenoid, you wrap insulated wire uniformly around a plastic tube

Question

To construct a solenoid, you wrap insulated wire uniformly around a plastic tube 10cm in diameter and 60cm in length. You would like a 2.0?Acurrent to produce a 2.6?kG magnetic field inside your solenoid.

Part A

What is the total length of wire you will need to meet these specifications?

Express your answer using two significant figures.

To construct a solenoid, you wrap insulated wire uniformly around a plastic tube 10cm in diameter and 60cm in length. You would like a 2.0?Acurrent to produce a 2.6?kG magnetic field inside your solenoid.

Part A

What is the total length of wire you will need to meet these specifications?

Express your answer using two significant figures.

Explanation / Answer

Apply B = uNI/L

2.6kG converts to .26 Tesla

.26 = (4pi X 10-7)N(2)/(.6)

N = 62070 loops

62070 times 2pir gives the lenght of wire

60270(2pi)(.05)

Length of wire = 19500 m

Using 2 sig figs, that is 2.0 X 104 m

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