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cseil
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Homework Statement
A rectangular coil with a and b sides can rotate around the axis AA' with angular velocity ω. It is in a magnetic field as in figure.
Calculate the flux of B when the coil is orthogonal to the axis AA'. Calculate the [itex]\epsilon_{max}[/itex] and express the position of the coil.
Homework Equations
[itex]\epsilon = -\frac{d}{dt} \phi_B[/itex]
The Attempt at a Solution
The flux when the coil is orthogonal to the axis AA' is 0.
[itex]\phi_B = NBabcos\theta [/itex]
[itex]\theta[/itex] is 90°, so the flux is 0.
Now I calculate the emf.
[itex]\epsilon = -\frac{d}{dt} \phi_B = NBab\omega sin(\omega t) [/itex]
The emf is max when [itex]sin(\theta)[/itex] is 1, so when [itex]\theta[/itex] is 90°.
Is it correct my procedure?
If yes, why emf is maximum when flux is 0?