Question
Download Solution PDFA current carrying circular loop of radius R is placed in the x-y plane with centre at the origin. Half of the loop with x > 0 is now bent so that it now lies in the y-z plane.
Answer (Detailed Solution Below)
Option 1 : The magnitude of magnetic moment now diminishes.
Detailed Solution
Download Solution PDFEXPLANATION:
→ Magnetic moment of a current carrying loop M = IA
Where I = Current and A = Area of the loop = πR2 (Where, R = radius of the circular loop)
∴ M = IπR2 ---- (1)
The direction of the magnetic moment is given by right hand-thumb rule (as shown)
⇒Half of the loop with x > 0 is now bent so that it lies in the y-z plane as shown in the figure below.
The magnitudes of magnetic moments of each semi-circular loop of radius R lying the xy plane and yz plane
⇒ M1 = M2 = I(A/2)
= ½ IπR2 = ½ M [ from (1) ]
The directions of M1 and M2 are along the z-axis and x-axis respectively (as shown).
The resultant, Mnet =
So, Mnet < M
∴ M diminishes.
So, the correct answer is option (1).
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