Two mutually perpendicular

PHYSICS · Single correct · AP · Physics C: Electricity and Magnetism · Magnetic Fields and Electromagnetism · Magnetic Fields and Electromagnetism

Problem

Two mutually perpendicular, infinitely long straight conductors intersect at the origin. The conductor along the

x

-axis carries a current of

20\,\text{A}

in the

+x

direction, and the conductor along the

y

-axis carries a current of

15\,\text{A}

in the

+y

direction. Find the magnitude of the resultant magnetic field at the point

P(0,0,5.0\,\text{cm})

(\mu_0 = 4\pi\times10^{-7}\,\text{T m A}^{-1})

(a)

5.0\times10^{-5}\,\text{T}

(b)

1.4\times10^{-4}\,\text{T}

(c)

1.0\times10^{-4}\,\text{T}

(d)

8.0\times10^{-5}\,\text{T}