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. b х z L To 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, (t) = A sintet). 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 as "theta" and as "omega" (without the quotation marks). You must indicate multiplication with an asterisk (*). For example, A sintoxt) is entered as "A*sin(omega*t)". Derive an expression for the magnetic flux through the conducting loop as a function of time. Hence derive an expression for the voltage between points a and b as a function of time. VE