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

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AI Thread Summary
The discussion focuses on calculating the force exerted between two segments of a circular wire loop carrying a current. The problem involves using the Biot-Savart law to determine the magnetic field produced by one segment at the location of the other. The magnetic field at the y-axis segment due to the x-axis segment is derived, with the angle θ set at 45 degrees. The force on the current element is then calculated using the relationship between the magnetic field and the current. The participants seek clarification on the problem and assistance in solving it.
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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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