A rectangular coil with N turns and area A is place in a uniform magnetic field directed into y-direction. (a) What amount of emf is induced in the coil if the coil doesn’t move or rotate? . Let’s say the coil rotates about the z-axis through its center at a constant angular velocity LaTeX: omega?. (b) What would be total magnetic flux through the coil as a function of LaTeX: theta? ? (LaTeX: theta? is the angle between the directions of area A and field-B) (c) Now, what amount of emf will be induced when the coil is rotating? (d) Is the magnitude of this emf time independent? If not show quantitatively and explain how it change with time. (e) Will it have a "rms Voltage" associated with it? If so what would be its "rms Voltage"?

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