Calculating Force on a Wire in a Magnetic Field

In summary, a wire with a length of 75 cm and a current of 15 A experiences a magnetic force of approximately 0.5625mN when placed in a horizontal magnetic field of 1.0 x 10^-4 T at an angle of 30 degrees. This is calculated using the formula F = ILBsinΘ.
  • #1
predentalgirl1
67
1
1. A horizontal magnetic field of 1.0 x 10^-4 T is at an angle of 30 degrees to the direction of the current in a straight, horizontal wire 75 cm long. If the wire carries a current of 15 A, what is the magnitude of the force on the wire?




2.B be the magnetic field = 1.0 x 10-4 T

Θ be the angle between the magnetic field and current = 300

L be the length of the wire = 75 cm = 0.75m

I be the current in the wire = 15 A

F be the force in the wire ?



From basic magnetic force

F = qvB sin Θ

F = q(L/t)B sin Θ

F = (q/t)LB sin Θ

F = I L B sin Θ




3. F = 15 x 0.75 x 1.0x10-4 sin 300

F = 11.25 x 10-4 sin 300

F = 11.25 x 10-4 (1/2)

F = 5.625 10-4 N

F = 0.5625mN

(Ans)
 
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  • #2
Your algebra is fine, so as long as you didn't make a mistake punching in the numbers it looks good to me.
 
  • #3


It should be [tex] sin\theta [/tex] i.e [tex]sin~{30^\circ}[/tex], you've made a typo. Otherwise, the answer is correct!
 

Related to Calculating Force on a Wire in a Magnetic Field

What is the formula for calculating the force on a wire in a magnetic field?

The formula for calculating the force on a wire in a magnetic field is F = I x L x B, where F is the force in Newtons, I is the current in amperes, L is the length of the wire in meters, and B is the magnetic field strength in Tesla.

How do you determine the direction of the force on a wire in a magnetic field?

To determine the direction of the force on a wire in a magnetic field, use the right-hand rule. Point your thumb in the direction of the current, your fingers in the direction of the magnetic field, and the force will be in the direction perpendicular to both your thumb and fingers.

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, and the strength of the magnetic field. The angle between the wire and the magnetic field can also affect the force.

Can the force on a wire in a magnetic field be negative?

Yes, the force on a wire in a magnetic field can be negative. This can happen if the current in the wire is in the opposite direction of the magnetic field, or if the wire is at an angle to the magnetic field such that the force is in the opposite direction.

What are some real-world applications of calculating the force on a wire in a magnetic field?

Calculating the force on a wire in a magnetic field is important in many engineering and scientific fields. It is used in designing electric motors, generators, and other devices that use electromagnetic forces. It is also used in medical imaging techniques such as MRI machines, and in particle accelerators used in scientific research.

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