# Rectangular coil rotating in magnetic field

1. May 23, 2012

### ihateblackbox

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

A rectangular coil of 80 turns has an area of 0.01m^2. It rotates @ 3000rpm about one of its in plane axes, in a uniform magnetic field having B=1.5T. Calculate the rms voltage generated.

2. Relevant equations

1 Tesla= 1 Weber/m^2.
Change in flux of 1 Weber per second = 1 Volt induced.

3. The attempt at a solution

(80*0.01*3000*1.5)/60 = change in flux of 60 Wb/s. ==> 60V. 60/[2sqrt(2)]=15sqrt(2)Vrms.

2. May 23, 2012

### rock.freak667

3000 rpm, you need to convert that to rad/s. You didn't multiply by π.

3. May 24, 2012

### ihateblackbox

I get the right answer then, but don't understand why you would do that?

4. May 24, 2012

### rock.freak667

In the formula E(max)=NBAw, B,A and w need to be in SI units (or at least derived SI units) for the units to produce the Volt on the left hand side.

So rpm would need to be converted to radians per second.

5. May 24, 2012

### ihateblackbox

OK. Many thanks.