Magnetic Field due to current in a circular loop


 
 
Concept Explanation
 

Magnetic Field due to Current in a Circular Loop

Just consider a loop of wire that forms a complete circle. We will see that the direction of current at point A is in the upward direction and the current at point B is in the downward direction.

Fix it on a cardboard with half loop above the cardboard and half below it. Join the free ends to a battery source through a switch and pass current through it.  The wire passes through the cardboard at two points A and B. Using a Magnetic compass draw the magnetic field lines around the two points above the cardboard.

The lines are nearly concentric circles centered on the point through which the wire passes. The concentric circles representing the magnetic field around it would become larger and larger as we move away from the wire. By the time we reach at the centre of the circular loop, the arcs of these big circles would appear as straight lines. The lines near the centre of the loop are almost straight

Every point on the wire carrying current would give rise to the magnetic field appearing as straight lines at the center of the loop. By applying the right hand rule, it is easy to check that every section of the wire contributes to the magnetic field lines in the same direction within the loop. It can be noted that magnetic field at the centre of the loop is perpendicular to the plane of the loop.

The magnetic field produced by current carrying circular wire at a given point depends on the following factors:

1. Amount of current flowing through a wire The strength of magnetic field (B) due to a current carrying circular wire is directly proportional to the amount of current (I) flowing through it.

i.e.                   large Binfty I        ....(i)

2. Number of turns of the circular wire The strength of the magnetic field due to a current carrying circular wire is directly proportional to the number of turns (N) of the wire.

i.e.                 large Binfty N     ......(ii)

Thus, the strength of magnetic field produced by a current circular coil can be increased by

(a) increasing the number of turns of wire in the coil.

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Sample Questions
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Question : 1

Which of the following are correct :

(a) The strength of magnetic field  due to a current carrying circular wire is directly proportional to the amount of current flowing through it.

(b) The strength of the magnetic field due to a current carrying circular wire is directly proportional to the number of turns of the wire.

(c) The strength of magnetic field produced by a current circular coil can be increased by decreasing the number of turns of wire in the coil.

Right Option : A
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Explanation
Question : 2

A current is flowing in a circular loop of wire in clockwise direction. The magnetic field at the contre of the loop is

Right Option : B
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Explanation
Question : 3

The strength of magnetic field due to a current carrying circular wire is __________________________ to the amount of current flowing through it.

Right Option : A
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Explanation
 
 


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