For the present exercise, calculate the field in every point P on the z-axis, and show that it is given by R B(2) 2 (R² + z²)»/z ? Use Cartesian coordinates, and use direct integration of Biot-Savart's Law for a thin wire.

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Magnetic Fields

I A
Consider a circular wire C with radius R and carrying a current I, as in the picture.
Transcribed Image Text:I A Consider a circular wire C with radius R and carrying a current I, as in the picture.
For the present exercise, calculate the field in every point P on the z-axis, and show
that it is given by
R
Hol
2 (R² + z²)3/2
B(2) =
Use Cartesian coordinates, and use direct integration of Biot-Savart's Law for a thin wire.
Transcribed Image Text:For the present exercise, calculate the field in every point P on the z-axis, and show that it is given by R Hol 2 (R² + z²)3/2 B(2) = Use Cartesian coordinates, and use direct integration of Biot-Savart's Law for a thin wire.
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