Two wires wrapped over a conical frame from the coils `1` and `2`. If they produce no net magnetic field at the apex `P`, the value of

Explanation

Magnetic induction due to a loop at apex,
` B = (mu_0 I r^2)/(2(r^2 + x^2)^(3//2) ) " But " r^2 + x^2 = i^2 rArr (r^2 + x^2)^(3//2) = l^2`
where .l. is slant length `B = (mu_0i)/(2r) (r/l)^3 . " but " r/l = sin phi`
where `phi` is apex angle , same for both the loops
`vecB_1 + vecB_2 = 0 ` (given) ` rArr B_1 = B_2 rArr i_1/i_2 = r_1/r_2 `