A long cylindrical conductor of radius carries a steady current of uniformly across…

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

Problem

A long cylindrical conductor of radius

3\,\text{cm}

carries a steady current of

15\,\text{A}

uniformly across its cross-section. A coaxial cylindrical hole of radius

1\,\text{cm}

is drilled along the axis and left empty. What is the current enclosed by a circular Amperian path of radius

0.5\,\text{cm}

that lies entirely inside the hollow region? (a)

2.5\,\text{A}

(b)

5\,\text{A}

(c)

0\,\text{A}

(d)

0.42\,\text{A}