Worksheet: Using Ampereโ€™s Law to Calculate the Magnetic Field of Currents

In this worksheet, we will practice using Ampere's law to relate the current through a closed conducting path to the magnetic field produced by that current.

Q1:

The coil whose lengthwise cross section is shown in the accompanying figure carries a current ๐ผ and has ๐‘ evenly spaced turns distributed along the length ๐‘™ .

Evaluate ๏…‡ โƒ‘ ๐ต โ‹… โƒ‘ ๐ผ d in terms of ๐œ‡ ๏Šฆ and ๐ผ for path ๐ด .