Challenge - Magnetic Field from Current

$\newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\R}{\mathbb R} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9} \newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}} $

Section 28.5 Challenge - Magnetic Field from Current

ARC*S 28.5.1. Solenoid.

Consider the magnetic field created by an infinitely long solenoid with radius $R$ and $n$ coils per unit length carrying a steady clockwise current $I\text{.}$ Starting from the assumption that the magnetic field everywhere in space must point in either the positive or negative $z$-direction (parallel to the axis of the solenoid), use Ampere’s Law to determine the magnitude and direction of this magnetic field.

Tip.

You will need to choose Amperian Loops thoughtfully, and you may need more than one!

Subsection Metacognitive Reflection

Write a short paragraph discussing how a changing magnetic field can result in an induced current. As part of your description, highlight specific activities you completed this week.

Prev Top Next

Section 28.5 Challenge - Magnetic Field from Current

A*R*C*S 28.5.1. Solenoid.

Subsection Metacognitive Reflection

ARC*S 28.5.1. Solenoid.