Question

The figure shows tow coaxial circulalr loop a1 and 2, which forms same solid angle `theta` at point `O`. If `B_1` and `B_2` are the magnetic fields produced at the point `O` due to loop 1 and 2 respectively, then

A. `B_1/B_2=1`
B. `B_1/B_2=2`
C. `B_1/B_2=8`
D. `B_1/B_2=4`

Answer 1

Correct Answer - B
`B_1 =(muIR^3)/(2(R^2+x^2)^(3/2))`
`B_2=(mu_I(2R)^2)/(2[(2R)^2+(2x)^2]^(3/2))`
`B_1/B_2=2`