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.
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.
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Transcribed Image Text: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.
L
w
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,
o) = A sin(cor).
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 m as "omega" (without the quotation marks).
You must indicate multiplication with an asterisk (). For example, A sin(ont) 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 bas a function of time.
Vas =
N
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