A researcher would like to perform an experiment in a zero magnetic field, which

Question

A researcher would like to perform an experiment in a zero magnetic field, which means that the field of the earth must be canceled. Suppose the experiment is done inside a solenoid of diameter 1.0 m, length 3.0 m , with a total of 5000 turns of wire. The solenoid is oriented to produce a field that opposes and exactly cancels the 52 T local value of the earth's field.

What current is needed in the solenoid's wires? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

magnetic field inside the solenoid, B = u0 ( N/L) I

B = 52 x 10^-6 T

u0 = 4pi x 10^-7

N = 5000

L = 3m

52 x 10^-6 = 4pi x 10^-7 x (5000 / 3) I

I = 0.0248 = 24.8 mA

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