# Calculating the current in a solenoid

1. Sep 28, 2011

### couponcoocoo

1. The problem statement, all variables and given/known data

A short-circuited solenoid of radius b with n turns rotates at an angular velocity
about the diameter of one of the turns in a uniform magnetic field B. The axis of rotation is perpendicular to the magnetic field direction. The resistance and the inductance of the solenoid are equal to R and L, respectively. Find the current in the solenoid as a function of time

2. Relevant equations

Hint eq: phi = normal vector (dot) Magnetic field (B) s

3. The attempt at a solution

i cant seem to figure out where to start. in order to find the current in the solenoid, do i have to first start with finding the magnetic field (or a specific value of B)? and then plug that into the above eq?

2. Sep 28, 2011

### Spinnor

See the first page of,

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/farlaw.html

There is a small error in the first page of the link above, can you find it?

Once you get the induced sinusoidal voltage you can treat the problem as a series circuit consisting of a sinusoidal voltage a resistance and an inductor?

Found via,