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A 2 amp current is flowing through two different small circular copper coils having radii ratio 1:2. The ratio of their respective magnetic moments will be

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  1. 1:4 
  2. 1:2
  3. 2:1
  4. 4:1 

Answer (Detailed Solution Below)

Option 1 : 1:4 
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Detailed Solution

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Correct option is: (1) 1 : 4

Magnetic moment of current carrying circular loop = IA

M = IA

M ∝ A   [I - same]

M1 / M2 = A1 / A2 = (πr12) / (πr22) = (1/2)2 = 1 / 4

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