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## Homework Statement

Problem statement along with relevant diagram attached with picture below.

## Homework Equations

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)

Thus:

B

_{net}= 0 ⇔ (μ)(I

_{1})/2(pi)(ρ) = (μ)(I

_{1}/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.