Magnetic field due to a current through circular loop

Question 1 Draw the pattern of lines of force due to a magnetic field through a current carrying circular loop of wire?

Question 2 How does the strength of the magnetic field at the centre of a circular coil of wire depends on the radius of coil?

Question 3 How does the strength of the magnetic field at the centre of a circular coil of wire depends on the number of turns of wire in the coil?

Question 4 How does the strength of the magnetic field at the centre of a circular coil of wire depends on strength of current flowing in the coil?

Magnetic field due to a current through circular loop

The magnetic field around a straight current carrying conductor or wire can be increased by bending the wire into circular loop.

 A circular loop is made up of large number of very small straight wires.A magnetic field is produced by an electric current flowing through a circular coil of wire.Each small section of current carrying wire contributes to magnetic field lines.
 
At the centre of circular wire,field lines become straight and perpendicular to the plane of coil.Right hand thumb rule is used to determine the direction of magnetic field produced due to current carrying circular wire.
 

Factors on which magnetic field produced at centre of a current carrying circular wire depends are:

1)The amount of current flowing through wire

If current is increased then deflection of needle of magnetic compass placed inside wire also increases.

Strength of magnetic field is directly proportional to current.

 2)Radius of circular wire

Strength of magnetic field is inversely proportional to radius of circular wire.

The deflection of needle of magnetic compass placed at the centre of circular wire of smaller radius is more than that placed at centre of circular wire of larger radius.

 3)Number of turns in circular wire

If number of turns in circular wire are increased,Magnetic field at the centre of loop increases.

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