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A triangular loop of each side of length l is placed in an external magnetic field. The plane of the loop is in the direction of the magnetic fied. Find the torque on the loop.

A triangular loop of each side of length l is placed in an external magnetic field. The plane of the loop is in the direction of the magnetic fied. Find the torque on the loop.

Grade:12

1 Answers

ROSHAN MUJEEB
askIITians Faculty 833 Points
3 years ago

Triangular loop of side having length=L and magnetic field=B
When current(i) is passed through the loop having area (A), then the magnetic dipole moment is given by,
M=iA where, A is the area of the coil
A=
2
1
​
×base×height=
2
1
​
×l×lsin60=
4
3
​

​
l
2

Therefore magnetic dipole moment is,
M=iA=
4
3
​

​
il
2

The angle between the normal of the plane and the applied magnetic field is 90 degree
Now the torque acting on the loop is,
τ=MBsinθ=
4
3
​

​
il
2
Bsin90=
4
3
​

​
iBl
2

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