Magnetostatics - force on wire

AI Thread Summary
The discussion centers on calculating the force on a segment of wire carrying a 20 A current in a magnetic field of 51 mT. The initial attempt to find the force used only the length of the wire along the z-axis, leading to an incorrect answer. Participants clarify that the total length of the wire segment must be considered for the calculation. Additionally, a second question involves determining the angle between a proton's velocity and a magnetic field, with participants discussing whether the same formula can be applied to solve for the angle. The conversation highlights the importance of correctly applying formulas in magnetostatics.
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Homework Statement


A segment of wire carries a current of 20 A
along the x-axis from x = −6 m to x = 0 and
then along the z axis from z = 0 to z = 7.2 m.
In this region of space, the magnetic field is
equal to 51 mT in the positive z direction.
What is the magnitude of the force on this
segment of wire?



Homework Equations


Fb= ILBsintheta



The Attempt at a Solution


Fb = ( 20 A ) (7.2m ) ( .051m )

the question asked for " the magnitude of the force on THIS SEGMENT of wire" so i thought to just plug in 7.2m but it turned out to be wrong so i added the 6m as well but it was wrong again. help =[
 
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i have another question

A proton moving at 1.2 × 106 m/s through a
magnetic field of 4.3 T experiences a magnetic
force of magnitude 4.9 × 10−13 N.
The charge of proton is 1.60218 × 10−19 C
and the mass of proton is 1.67262 × 10−27 kg.
What is the angle between the proton’s
velocity and the field?
Answer in units of ◦.

Is this question simply just plugging the values into Fb = BILsintheta and solve for theta? it seems too easy to be true.
 
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