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 4.0 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.

Part A

What current is needed in the solenoid's wires?

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

Explanation / Answer

Field at ctr. of solenoid: B = NI L/ 4r²,

Earth magnetic field = 40 uT

B = (4x10^-7 )(9000)I (5) / 4(1.4/2)²

I = (B/NL)4r²

= ( 4(1.4/2)² )[(40x10-6) / [(5)9000(4x10^-7)] A

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