Be sure to follow the seven step paradigm when submitting this as a collected homework problem: 1. I want to and I can 2. Draw a diagram (if you can't visualize this in a diagram. see the next page) and include all the relevant information. 3. Identify what you are looking for. 4. Brainstorm: how is what you know connected to what you are looking for? (See next page for hints.) 5. Write the relevant equations. 6. Solve the equations be sure to include units with all values. 7. Is your answer reasonable? Electric Generators Faraday's Law: AV = d/dt [ J B . dA ] We have seen how voltages are generated by changing the magnetic field strength, B, and by changing the area, A. Now, we consider how voltages are generated by changing the direction of the area in relation to the field (.) - which is the basis for the most common kind of electric generator. This generator looks just like the electric motor, except we put in rotational motion and get current - instead of putting in current and getting rotational motion!Electric Generator using AV = d/dt [ J B . dA ] When we use the crank to rotate the area inside the magnetic field, we are changing the magnetic flux, B.A, through the area A=WL, by changing the angle, .. By Faraday's Law this should generate a voltage (EMF) and a current! W K N LS pole B pole crankElectric Generator To keep the wires from twisting ~ AC voltage terminals together during Two complete rings, with wires brushing the the rotation we insides of the rings, and permanent wires use the following: attached to the outside of the rings going to the terminals of the AC Voltage supply N S pole pole crank (turn at frequency, f)Electric Generators Faraday's Law: AV = d/dt [ (N B A cos(OBA) ] . When we change the angle, OBA, with respect to time: 0BA=wt, we get the following relation: since NBA are all constant, and dcos(0)/dt = dcos(0)/d0 * d0/dt = w sin(0) - actually dcos(0)/d0 = -sin(0), but here we don't worry about the negative sign since the sine function oscillates from positive to negative. AV = N B A @ sin(0BA) , Or VAC = V. sin(wt) where V = NBAw, and where w = deBA/dt = 2nf . This kind of voltage is an alternating voltage (AC voltage) since the sine function alternates between positive and negative.Electric Generators You should be able to DESIGN your own generator based on the voltage (V) and frequency (f) you want out of the generator. Design means you have choices for some of the parameters and use the relation to solve for the last parameter to make the equation work: V AC = V0 sin(cot) Where V0: N BAG) Where (o : 2712f. Note that V AC does depend on time since it alternates as a sine function of time; however V0 is a constant that does not change With time. The diagram is on slide #43. 833) DESIGN an electric generator that gives an rms voltage of 120 volts, i.e., draw a diagram and specify values for all of the components