Three infinitely long thin wires

PHYSICS · Multi-part · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

Three infinitely long thin wires, each carrying current

i

in the same direction, are in the

x

y

plane of a gravity free space. The central wire is along the

y

-axis while the other two are along

x = \pm d

. (1) Find the locus of the points for which the magnetic field

B

is zero. (2) If the central wire is displaced along the

Z

-direction by a small amount and released, show that it will execute simple harmonic motion. If the linear density of the wires is

\lambda

, find the frequency of oscillation.