Answer Happy

Can children be used to generate electricity? Consider turning a swing into an electric generator by building it out of conducting material such that it forms a conducting loop, as shown in the schematic diagram below. у ab х * Z L 2 w 3 The swing rotates around the line 1-4; the swinging motion is described by the time evolution of the angle between the swing and the vertical direction, (1) = A sin(or). For simplicity, we place the swing right on top of the magnetic North Pole, so that the magnetic field, which has magnitude B, points straight upwards. In your answers, enter o as "theta" and @ as "omega" (without the quotation marks). You must indicate multiplication with an asterisk ("*"). For example, A sin() is entered as "A+sin(omega*t)".
Derive an expression for the magnetic flux through the conducting loop as a function of time. ФB = Hence derive an expression for the voltage between points a and b as a function of time. Vab =