A long straight wire is turned into a loop of radius R=10cm, as shown.

1.	A long straight wire is turned into a loop of radius R=10cm, as shown. If a current of 8A is passed through the loop, find the magnetic field at the centre C of the loop.
Answer» The magnetic moment of a current carrying coil is given by μ = niAk Where, n is the number of loops i is the current throught the coil A is the area of CROSS section of the coil k is the unit vector along the direction of the magnetic moment Since there is only one loop, n=1 Therefore, μ =8*π(0.1)^2 k =0.08π k And to FIND k, imagine the coil in front of you such that the current in the coil is flowing in counter-clockwise direction (as seen by you) Now curl your fingers along the circumference of the loop, you thumb will POINT in the direction of k which is ALSO the direction of the magnetic moment of the loop Hope this helps ;)

A long straight wire is turned into a loop of radius R=10cm, as shown. If a current of 8A is passed through the loop, find the magnetic field at the centre C of the loop.

Answer»

The magnetic moment of a current carrying coil is given by μ = niAk

Where,

n is the number of loops

i is the current throught the coil

A is the area of CROSS section of the coil

k is the unit vector along the direction of the magnetic moment

Since there is only one loop, n=1

Therefore,

μ =8*π(0.1)^2 k

=0.08π k

And to FIND k, imagine the coil in front of you such that the current in the coil is flowing in counter-clockwise direction (as seen by you)

Now curl your fingers along the circumference of the loop, you thumb will POINT in the direction of k which is ALSO the direction of the magnetic moment of the loop

Hope this helps ;)

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