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A cell is connected between the points A a n d C of a circular conductor A B C D with O as centre and angle A O C = 60 ° . If B 1 a n d B 2 are the magnitudes of the magnetic fields at O due to the currents in A B C a n d A D C respectively, then ratio B 1 B 2 is

Options

  1. A1
  2. B2
  3. C5
  4. D6

Correct answer

A. 1

Step-by-step solution

currents in ABC and ADC will not be the same because of the resistance and B also depends on length . i 1 = 1 6 × 1 = 1 6 A i 2 = 5 6 × 1 = 5 6 A B A B C = μ 0 i 1 4 π r = μ 0 4 π r ( 1 6 ) ( 15 9 π ) B A D C = μ 0 i 2 4 π r = μ 0 4 π ( 5 6 ) ( π 3 ) equal and opposite magnetic field due to arc ABC & ADC , so net magnetic field at O is zero.

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