Finding the force of magnetic field lines

In summary, the force of magnetic field lines is a measure of the strength of a magnetic field at a specific point in space, typically measured in units of Tesla or Gauss. It can be calculated using the formula F = qvBsinθ, where F is the force, q is the charge of the moving particle, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field. This force is affected by the strength of the magnetic field, the charge and velocity of the moving particle, the angle between the velocity and the magnetic field, and the distance between the particle and the source of the magnetic field. In practical applications, the force of magnetic field lines is used in
  • #1
itsmarasilly
24
0

Homework Statement



A wire carrying 15 A of current has a length of 17 cm in a magnetic field of 0.80 T. The force on a current-carrying wire in a uniform magnetic field can be found using the equation F = BIL sin θ. Find the force on the wire for each of the following angles between the wire and the magnetic field lines. ( (a) 90° )

Homework Equations



F = BIL
Sin = Opposite/Hypotenuse
17 cm / 100 = .17 m

The Attempt at a Solution



F = 15*.17*.8*sin(90)
= 1.8238 N
 
Last edited:
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  • #2
Looks like you did the multiplication wrong.

F = 15*.17*.8*sin(90) is correct.
 
  • #3


I would like to commend the student for correctly using the equation F = BIL sin θ to find the force on the current-carrying wire. However, I would like to point out that the unit for current, A, was not included in the calculation, which could lead to incorrect units for the final answer. Additionally, I would suggest using the full length of the wire, 0.17 m, instead of converting to centimeters, as this would provide a more accurate result. Other than that, the solution is correct and well-explained. Good job!
 

1. What is the force of magnetic field lines?

The force of magnetic field lines, also known as the magnetic field strength, is a measure of the strength of a magnetic field at a specific point in space. It is measured in units of Tesla (T) or Gauss (G).

2. How is the force of magnetic field lines calculated?

The force of magnetic field lines can be calculated using the formula F = qvBsinθ, where F is the force, q is the charge of the moving particle, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.

3. What factors affect the force of magnetic field lines?

The force of magnetic field lines is affected by the strength of the magnetic field, the charge and velocity of the moving particle, and the angle between the velocity and the magnetic field. Additionally, the distance between the particle and the source of the magnetic field can also affect the force.

4. How is the force of magnetic field lines used in practical applications?

The force of magnetic field lines is used in a variety of practical applications, such as electric motors, generators, and devices that use magnetic levitation. It is also used in medical imaging techniques like MRI machines and in particle accelerators.

5. How can the force of magnetic field lines be measured?

The force of magnetic field lines can be measured using a device called a magnetometer. This instrument can detect and measure the strength of a magnetic field at a specific location. Other methods of measuring the force of magnetic field lines include using a Hall effect sensor or a magnetoresistance sensor.

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