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.