Force on current carrying wire in magnetic field simulation

Physics | Magnetism

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General Aim of the Magnetic Field Simulation

  • Investigate how a magnetic field in the magnetic field simulation interacts with moving electric charges in the form of an electric current.

  • The magnetic on the electric current (magnetic force on a wire) is not measured directly. Instead, the reaction force on the magnet—according to Newton's third law—is measured.

Method of the Magnetic Field Simulation

⦁ Our experimental setup for the magnetic field virtual lab is shown in the following figure and is described as follows: ⦁ A permanent magnet assembly, comprised of six removable horseshoe magnets, is placed on a triple-beam balance, and ⦁ ⦁ Our experimental setup for the magnetic field virtual lab is shown in the following figure and is described as follows: ⦁ A permanent magnet assembly, comprised of six removable horseshoe magnets, is placed on a triple-beam balance, and the balance is then zeroed. ⦁ A variable current source is connected to the current balance assembly, which has at one end a removable wire loop etched onto a circuit board. ⦁ This wire loop is then placed into the permanent magnet assembly so the wire loop is perpendicular to the magnetic field but is not touching the magnets. ⦁ Then, when a current flows through the wire loop, a magnetic force on a wire is created. ⦁ Since the wire loop is stationary the magnetic force acts on the permanent magnet assembly causing its weight to either increase or decrease depending on the direction of the current and the orientation of the magnetic field. ⦁ The change in the magnet assembly's weight is due to the magnetic force given by: F = I L B

Learning Objectives (ILOs)

  • By the end of the magnetic field simulation, the student should be able to:

  • Recognize that if a current-carrying wire is placed in a magnetic field, there will be force on a wire in magnetic field and it may move.
  • Recognize that the wire must be placed perpendicular to the magnetic field for the magnitude of the force to be greatest.
  • Recognize that if the wire is placed parallel to the field, there will be no force on it.
  • Work out the direction of the force using the right-hand rule.
  • Use the magnetic force apparatus to verify that the magnetic force due to a current-carrying wire immersed in a uniform magnetic field is proportional to each of the following parameters:

    1. Length of the wire.
    2. Electrical current flowing in the wire.
    3. Magnitude of the magnetic field.
    4. The angle between the magnetic field and the direction of the current in the wire.

     

Theoretical Background / Context

  • A current-carrying wire in a magnetic field experiences a force that is usually referred to as a magnetic force.

The magnitude and direction of this force depend on four variables:

  1. The magnitude of the current

  2. The length of the wire

  3. The strength of the magnetic field

  4. The angle between the field and the wire.

  • This magnetic force is described mathematically by: F = I L B sinθ
  • Where the magnitude and direction of the current (I); the strength of the magnetic field (B); the length of the wire (L); and the angle between the field and the wire (ϴ). Using the equipment included in the Magnetic Forces on Wires

Experiment, all four variables (I, B, L, and ) can be varied while measuring the resulting magnetic force.

If the current in a wire, I, is perpendicular to the magnetic field, B, then sinθ=1 and the magnetic force: F = I L B

The direction of magnetic force F can be determined by using the right–hand rule, illustrated in the following figure.

  • If current I is passing through a conductor of known length L, located in a magnetic field B, the force F exerted on the conductor can be measured using a quadruple-beam balance, (Actually, the reaction force – Newton’s 3rd law – on the magnet will be measured).

  • If the force is measured for several known currents and then plotted as a function of current, the slope of the resulting curve is the product B sin⁡.

  • Once the direction of the magnetic field is also known, this slope can be used to determine the magnitude B of the magnetic field.

Force on a Current Carrying Conductor Simulation | Principle of Work

  • A stationary or moving electric charge will experience a force when placed in an electric field.

  • On the other hand, an electric charge has to be moving to experience a force due to a magnetic field. A current in a wire is due to moving electrons. Therefore, a current-carrying wire will experience a force when placed in a magnetic field.

  • Measuring the force exerted by a magnetic field on the wire with a known current flowing through it offers one method to determine the strength of the magnetic field.

  • With the PASCO SF-8607 Basic Current Balance, you can vary three of the variables in the equation-the current, the length of wire, and the strength of the magnetic field-and measure the resulting magnetic force.

  • By adding the SF-8608 Current Balance Accessory, you can vary the angle between the wire and the magnetic field, thereby performing a complete investigation into the interaction between a current carrying wire and a magnetic field.

  • A magnetic force is created when a current passes through the circuit board wire loop. This force acts on the permanent magnet assembly causing a change in its weight.

  • The change in the magnet assembly's weight is directly proportional to the magnetic force.

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