Problem statement along with relevant diagram attached with picture below.
The Biot-Savart Law for a long current carrying wire.
B = (μ)(I)/2(pi)(d)
Where d is the perpendicular distance between the wire and the point at which the field is being calculated. μ is the permeability of free space.
The Attempt at a Solution
(a) Point at which field is null:
Net magnetic field = 0.
Thus, the sum of the magnetic fields at a certain point is 0. (One will point into the page and one will point out of the page)
Bnet = 0 ⇔ (μ)(I1)/2(pi)(ρ) = (μ)(I1/2)/2(pi)(d - ρ)
Calculate ρ. I think it works out to be 2d/3.
Could someone tell me if this is correct?
Also, for part (b) what adjustment should be made? Assuming I did (a) correctly. Thanks.