Understanding E(t) = wNBAsin(wt) and Its Variables

[lampshader]

Homework Statement

Where can I find the definition of the varaibles? I know w is the angular velocity, A is the Area, and t is time. but what are NB? is B the field strength? If that is so, then what is N?

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

Hi lampshader!

Number of turns?

 

[lampshader]

Number of cycles?

If I were to calculate the angular velocity; w = number of 'turns' / time it makes the 'turns'.

So the denominator is used again as B in, E(t) = wNBAsin(wt)?

Thanks! =)

 

[lampshader]

I thought that, when I open my simulation (homework assignment), their are default values and a peak voltage is displayed. So, when I use the equation: E(t) = wNBAsin(wt); and calculate by subsituting in the default values, I am not getting the displayed peak voltage. Ya know?

 

[tiny-tim]

Hi lampshader!

(have an omega: ω )

… If I were to calculate the angular velocity; w = number of 'turns' / time it makes the 'turns'.

ah … now i see …

no, ω isn't a geometrical angular velocity, it's the frequency, of the variable magnetic field, Bcos(ωt).

So the magnetic flux is φ = NBAcos(ωt), and the emf is E(t) = dφ/dt = ωNBAsin(ωt).

(And N is the number of loops of the wire round the area A)

 

[lampshader]

Thanks, I appreciate your time.