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Transcribed Image Text:Exercise 1. The on-axis magnetic field due to a circular current loop of radius R lying flat in the x-y plane,
centered at the origin, and carrying current / is given by Equation 1. We will take this formula for granted
today and derive it officially next week.
B₂
=
Show that Equation 1 is equivalent to
Express Bo in terms of Mo, R, and I.
What is Bo for /=200A and R=0.1 m?
Ho
I 2πR²
4π (R²+z²)3/2
R³
B₂ = Bo (R² + z²)³/²
where Bo is the magnetic field at the center of the loop.
(1)
Graph B₂ as a function of z from z=-2R to z=2R (using the numerical values above) in Excel. Make it easy
to vary the values of R and I.
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