The figure below shows a long straight wire just touching a loop carrying a current I₁. Both lie in the same plane. R I₂ a) What direction must the current 12 in the straight wire have to create a magnetic field at the center of the loop in the direction opposite to that created by the loop? b) What is the ratio of 11/12 that gives zero magnetic field strength at the center of the loop? c) What is the direction of the magnetic field directly above the top of the loop when the current in the straight wire is in the same direction as part a)?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
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The figure below shows a long straight wire just touching a loop carrying a current I₁. Both lie
in the same plane.
I₁
R
I₂
a) What direction must the current ½ in the straight wire have to create a magnetic field at
the center of the loop in the direction opposite to that created by the loop?
b) What is the ratio of 11/12 that gives zero magnetic field strength at the center of the loop?
c) What is the direction of the magnetic field directly above the top of the loop when the
current in the straight wire is in the same direction as part a)?
Transcribed Image Text:The figure below shows a long straight wire just touching a loop carrying a current I₁. Both lie in the same plane. I₁ R I₂ a) What direction must the current ½ in the straight wire have to create a magnetic field at the center of the loop in the direction opposite to that created by the loop? b) What is the ratio of 11/12 that gives zero magnetic field strength at the center of the loop? c) What is the direction of the magnetic field directly above the top of the loop when the current in the straight wire is in the same direction as part a)?
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