Magnetostatics - force on wire

In summary, the problem involves a segment of wire carrying 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. The magnetic field in this region is 51 mT in the positive z direction. The question asks for the magnitude of the force on this segment of wire, which can be calculated using the equation Fb = ILBsintheta. However, simply plugging in the given values does not give the correct answer. Another question involves a proton moving through a magnetic field and experiencing a magnetic force. To find the angle between the proton's velocity and the field, the equation Fb
  • #1
victorlee2
21
0

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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  • #2


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.
 

1. What is magnetostatics?

Magnetostatics is the study of the static (non-moving) effects of magnetic fields on electrically charged particles and conductors.

2. How is the force on a wire in a magnetic field calculated?

The force on a wire in a magnetic field is calculated using the formula F = I * L * B * sin(theta), where I is the current in the wire, L is the length of the wire, B is the strength of the magnetic field, and theta is the angle between the wire and the magnetic field.

3. What factors affect the force on a wire in a magnetic field?

The force on a wire in a magnetic field is affected by the current in the wire, the length of the wire, the strength and direction of the magnetic field, and the angle between the wire and the magnetic field. The force also depends on the properties of the wire, such as its material and shape.

4. What is the direction of the force on a wire in a magnetic field?

The direction of the force on a wire in a magnetic field is perpendicular to both the direction of the current and the direction of the magnetic field. It follows the right-hand rule, where the thumb points in the direction of the current, the fingers point in the direction of the magnetic field, and the palm indicates the direction of the force.

5. How can the force on a wire in a magnetic field be changed?

The force on a wire in a magnetic field can be changed by altering the current in the wire, the strength or direction of the magnetic field, or the angle between the wire and the magnetic field. The force can also be changed by using different materials or shapes for the wire.

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