For a particular scientific experiment, it is important to be completely isolate

Question

For a particular scientific experiment, it is important to be completely isolated from any magnetic field, including the earth's field. A 1.50m-diameter current loop with 250 turns of wire is set up so that the field at the center is exactly equal to the earth's field in magnitude but opposite in direction. (Assume that magnetic field strength at the surface of the earth is 5 x 10^-5 T). 1) What is the current in the current loop? Answer in A 2) What is the value of the inductance L? Answer in mH An FM radio station broadcasts at a frequency of 100 MHz.

Explanation / Answer

for nuetralising earth's magnetic field at the centre of the loop we should have

Bo = BH
mag.permeability x n i / 2 r = BH

and current in the loop i = BH x 2 r / mag. permability x n

= 0.36x10^-4 x 2x 0.5 / 4 pix10^-7 x 200

= 0.1433 amp.

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