Question

two mutually perpendicular conductors carrying current i1 and i2 lie in one plane .if i1 is taken along x axis and i2 along y axis the locus of points where magnetic induction is zero is

Answer 1

"Let us name the wire having charge density λ1, the wire 1 and the other having charge density λ2, wire 2. Wire 1 is placed along z-axis i.e. normal to the screen while wire 2 is along y-axis.

We have from the triangle having its sides as a, l and r:

r=a2+l2−−−−−−√(1)

cosθ=ar=aa2+l2√(2)

tanθ=la⇒l=atanθ(3)

Let the electric field intensity due to wire 1 at an arbitrary point of wire 2 be

E⃗ . Then

|E⃗ |=14πϵ02λ1r

"