Alternating Current in a Coil#

A coil with a self-inductance of \({{ params.L }}\rm\ H\) carries a current that varies with time according to \(I(t) = ({{ params.I0 }}{\rm\ A}) \sin{\!({{ params.k }} \pi t)}\).

Question Text#

Find an expression for the emf induced in the coil. You should provide a symbolic answer in terms of the following variables and expressions: \(\pi\), \(t\), \(\sin()\), and \(\cos()\).

Note that it may not be necessary to use every variable. Use the following table as a reference for each variable:

For

Use

\(\pi\)

pi

\(t\)

t

\(\sin()\)

sin()

\(\cos()\)

cos()

Answer Section#

Attribution#

Problem is from the OpenStax University Physics Volume 2 textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.