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 3.2m , 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.

Part A

What current is needed in the solenoid's wires?

Express your answer to two significant figures and include the appropriate units.

I = ____________

Explanation / Answer

B = uo x n x I

where, B is the magnetic field produced

uo = 4 x pi x10-7 T/amp m

n = N/L =5000/32 = 156.25 turns/m

B = 52 micro T

Therefore, I = B/uon = 52 x 10-6 / 4 x pi x10-7 x 156.25 = 0.264 amp

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