Consider a loop of circular wire of radius R located in the xy plane and carrying a stable current I, the center of the loop coincides with the origin of the coordinate system. Calculate the magnetic field at an axial point P at a distance z from the center of the loop, using cylindrical coordinates, and explicitly show that the component of the field B at P perpendicular to the z axis is zero. Indicate with p and k the unit vectors of the cylindrical coordinates. Note: you must solve the exercise in a vector way.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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URGENT!!!!!!!!!
Consider a loop of circular wire of radius R
located in the xy plane and carrying a
stable current I, the center of the loop
coincides with the origin of the coordinate
system. Calculate the magnetic field at an
axial point P at a distance z from the center
of the loop, using cylindrical coordinates,
and explicitly show that the component of
the field B at P perpendicular to the z axis is
zero. Indicate with p and k the unit vectors
of the cylindrical coordinates. Note: you
must solve the exercise in a vector way.
Transcribed Image Text:Consider a loop of circular wire of radius R located in the xy plane and carrying a stable current I, the center of the loop coincides with the origin of the coordinate system. Calculate the magnetic field at an axial point P at a distance z from the center of the loop, using cylindrical coordinates, and explicitly show that the component of the field B at P perpendicular to the z axis is zero. Indicate with p and k the unit vectors of the cylindrical coordinates. Note: you must solve the exercise in a vector way.
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