In the figure above, the magnetic field at the center (point C ) is measured to
ID: 1435397 • Letter: I
Question
In the figure above, the magnetic field at the center (point C) is measured to have a strength of approximately 0.50 [mT].
A second loop having one-half the radius of the first would generate what strength magnetic field at its center? Assume it flows the same current as the first loop.
Note: Do not combine both loops, the smaller loop is run separately in another room.
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Bcenter #2 = 0.25 [mT]
Bcenter #2 = 0.125 [mT]
Bcenter #2 = 1.0 [mT]
Bcenter #2 = 0.50 [mT]
aBcenter #2 = 0.25 [mT]
bBcenter #2 = 0.125 [mT]
cBcenter #2 = 1.0 [mT]
dBcenter #2 = 0.50 [mT]
Explanation / Answer
Correct option is (c)
B =uoi/2r
B1 = 0.5 mT
B2 = uo*i/2(r/2) = 2*B1 = 2*0.5 mT
B2 = 1 mT