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Problem 24.4 For a particular scientific experiment, it is important to be compl

ID: 1301484 • Letter: P

Question

Problem 24.4

For a particular scientific experiment, it is important to be completely isolated from any magnetic field, including the earth's field. A 1.40m-diameter current loop with 160 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

Problem 24.4

For a particular scientific experiment, it is important to be completely isolated from any magnetic field, including the earth's field. A 1.40m-diameter current loop with 160 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

Explanation / Answer

apply magnteic field B = Nu0i/2R = 5*10^-5 T

where N = no. of turns

u0 = constant = 4pi *10^-7

i = current ?

R = radius of the circular loop

so eqn for current i = B * 2R/(Nuo)

by substutuioing

so current i = 5*10^-5 * 2* 0.7 /(160 * 4pi*10^-7)

i = 0.348 Amps

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