# 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()