Q. 57
A circular loop carrying a current i has wire of total length L. A uniform magnetic field B exists parallel to the plane of the loop.
(a) Find the torque on the loop.
(b) If the same length of the wire is used to form a square loop, what would be the torque? Which is larger?
Answer :
Given-
Magnetic field intensity = B
Magnitude of current = i
Circumference, 
,
where
r is the radius of the coil
So, area of the coil,
Torque acting on the coil,
Where
B= applied magnetic field
A= area of rectangular loop
I = current flowing through coil
= angle between the area vector and magnetic field
(b) Let s be the length of the square loop.
Then given in the question that
So, the torque in case of the circular loop is larger.
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