What is the magnitude of the force the first exerts on the second?

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SUMMARY

The discussion focuses on calculating the magnitude of the magnetic force exerted by one segment of a circular loop of wire on another, using the Biot-Savart law. The loop has a radius of 3.67 m and carries a current of 6.2 A in a counterclockwise direction. The force is determined by evaluating the magnetic field generated by one segment at the location of the other segment, specifically using the equation dB = μ₀*i*ds×r/(4π*r²) and considering the angle θ as 45 degrees. The final force is derived from the relationship df = dB*i*ds.

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Homework Statement



A circular loop of wire of radius R = 3.67 m
lies in the xy-plane, centered about the origin.
The loop is carrying a current of I = 6.2 A
flowing in counterclockwise direction.

Consider two l = 1.63 mm segments of the
loop: one centered about the positive x-axis,
the other centered about the positive y-axis.
Hint: Use Biot-Savart law.
The permeability of free space is
1.25664 × 10−6 Tm/A

What is the magnitude of the force the first
exerts on the second? Answer in units of N.

Homework Equations



dB = Uo*i*ds×r/(4*pi*r^2)


The Attempt at a Solution



i didnt understand the problem well, as a result i couldn't figure out how to solve it

i am seeking for your help
thanx in advance
 
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Field at the point on the y-axis due to the current element on the x-axis is
dB = μο/4π*i*ds*sinθ/r^2. Here θ is 45 degrees. Direction of the field is perpendicular to the current element on the y-axis. Hence the force on the current element is
df = dB*i*ds.
 

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