   ## Force on a Current Carrying Conductor in a Magnetic Field

Published on Dec 05, 2020

### Abstract

Fleming's left-hand rule for electric motors is one of a pair of visual mnemonics, the other being Fleming's right-hand rule (for generators). They were originated by John Ambrose Fleming, in the late 19th century, as a simple way of working out the direction of motion in an electric motor, or the direction of electric current in an electric generator.

When current flows through a conducting wire, and an external magnetic field is applied across that flow, the conducting wire experiences a force perpendicular both to that field and to the direction of the current flow (i.e they are mutually perpendicular) . A left hand can be held, as shown in the illustration, so as to represent three mutually orthogonal axes on the thumb, fore finger and middle finger. Each finger is then assigned to a quantity (mechanical force, magnetic field and electric current). The right and left hand are used for generators and motors respectively.

### Objective

To study the force on a current-carrying straight conductor in a magnetic field and to verify that the motion of the conductor is according to Fleming’s left-hand rule.

### Theory

A current carrying conductor placed in a magnetic field experiences a force. If the direction of the field and that of current are mutually perpendicular to each other, then the force acting on the conductor will be perpendicular to both and that can be determined using the Fleming’s left-hand rule. When current establishes in the conductor, it gets displaced which verifies the existence of a force on the conductor. Fig. (1) - A current-carrying rod, AB, experiences a force perpendicular to its length and the magnetic field

#### Fleming's Left Hand Rule:

Hold the thumb and the first two fingers of your left hand mutually at right angles to each other as shown in Fig. (2). Then if the Forefinger points in the direction of the Field, and the second finger in the direction of the Current, the thumb will point in the direction of Force. ### Materials Required:

A horse shoe magnet, a small aluminium rod, an ammeter, two wooden stands, two connecting wires, a battery, a plug key

### Procedure:

1. Suspend the aluminium rod horizontally from the stand using clean connecting wires.

2. Place the horse-shoe magnet in such a way that the rod lies in between both the poles such that south pole is vertically above and north pole is vertically below the rod.

3. Connect the rod in series to the battery, key and the rheostat.

4. Now switch on the current and observe the displacement of the rod.

5. Reverse the direction of the current and observe the change in the displacement of the rod.

### Observations:

On passing current through a straight conductor (aluminium rod) kept in a magnetic field, the conductor gets displaced upward or downward.

### Result:

1. The direction of displacement of the conductor rod changes with the change in the direction of current through it.

2. The displacement of aluminium rod is in accordance with Fleming’s left-hand rule.

### References

1. http://www.tutorvista.com/content/science/science-ii/magnetic-effects-electric-current/force-current-carrying-conductor.php