Magnetic fields due to a current – carrying conductor

ELECTROMAGNETISM
Electromagnetism is the effect produced by the interaction of an electric current with a magnetic field.
OR
Electromagnetism is the production of a magnetic field by current in a conductor
  
MAGNETIC FIELD DUE TO A CURRENT –CARRYING CONDUCTOR
If a current of few amperes is passes through a wire a weak magnetic field is produced.
 NOTE:
The strength of the magnetic field produced increases as the current passing through conductor increases. (Strength of the magnetic field depends on the magnitude of the electric current)
The effect of the magnetic field can be detected by iron fillings when the current through the conductor reaches 20A.
The direction of the magnetic field can be determined by applying two rules; Right-hand Grip Rule and Maxwell’s cork screw rule


RIGHT-HAND GRIP RULE
The Right-Hand Grip Rule states that;
Imagine the wire carrying the current is gripped by the right hand with the thumb pointing in the direction of the convectional current, the fingers will curl around the wire pointing in the direction of the magnetic field
MAXWELL’S RIGHT-HAND CORK SCREW RULE
The Maxwell’s Right-Hand Cork Screw Rule states that;
If a right-hand screw advances in the direction of the current, then the direction of rotation of the screw represents the direction of the magnetic field due to the current
 DIRECTION OF THE MAGNETIC FIELD DUE TO CURRENT-CARRYING CONDUCTOR





FLEMING’S LEFT HAND RULE
The Fleming’s left hand rule states that;

If the first three fingers of the left hand are held mutually at right angles to each other, such that the middle finger points in the direction of the current, and the forefinger in the direction of magnetic field lines, then the thumb points in the direction of motion of the current-carrying conductor
 The Fleming’s left hand rule determines the direction of the force acting on a current-carrying conductor in a magnetic field. The Fleming’s left hand rule also known as Motor Rule

FORCE ON A CURRENT CARRYING CONDUCTOR IN A MAGNETIC FIELD
When a current carrying conductor is placed in a magnetic field, it experiences a force. This force causes conductor to move when suspended freely.

NOTE:
The magnitude of the force on the current-carrying conductor depends on;

Magnetic field strength: Force on the current-carrying conductor is proportional to strength of the magnetic field    Fα B

Magnitude of current: Force on the current-carrying conductor is proportional to the current through conductor.      Fα I

Conductor Length: Force on the current-carrying conductor is proportional to the length of the conductor  Fα L

Angle between magnetic field and conductor: The magnitude of the force is proportional to the component of the field that is at right angles to the conductor.

·         The force is at a maximum when the conductor is at right angles to the field,
·         The force is zero when the conductor is parallel to the field

FORCE DUE TO PARALLEL CONDUCTORS CARRYING CURRENT
When electric current passes through parallel wires, a force is developed between them. The force developed can be attractive or repulsive depending on the direction of the current through the wires.

A.    When the current flow in the same direction
Two parallel wires that carry current in the same direction attract each other


When the current flows in the same direction, the magnetic field between the conductors (wires) cancel out while outside magnetic field add up. This causes weak magnetic field between the conductors than on the outside, hence the resultant force pushes the conductors towards each other.

B.     When the current flow in the opposite direction
Two parallel wires that carry current in the opposite direction repel each other
When the current flows in the opposite direction, the magnetic field between the conductors (wires) add up while outside magnetic field cancel out. This causes strong magnetic field between the conductors than on the outside, hence the resultant force is towards the outside of each conductor.

NOTE:
The Magnitude of the force between parallel wires carrying current inversely proportional to the distance between wires.

The shorter the distance of separation the stronger the force of attraction or repulsion

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