A rectangular coil with N turns and area A is place in a uniformmagnetic field directed into y-direction. (a) What amount of emf isinduced in the coil if the coil doesn’t move or rotate? . Let’s saythe coil rotates about the z-axis through its center at a constantangular velocity LaTeX: \omegaω. (b) What would be total magneticflux through the coil as a function of LaTeX: \thetaθ ? (LaTeX:\thetaθ is the angle between the directions of area A and field-B)(c) Now, what amount of emf will be induced when the coil isrotating? (d) Is the magnitude of this emf time independent? If notshow quantitatively and explain how it change with time. (e) Willit have a \"rms Voltage\" associated with it? If so what would be its\"rms Voltage\"?