1)If you rub your socks on the carpet then jump on a bicycle and pedal as fast as you can off a ramp, estimate the minimum radius of the circle that Earth’s magnetic field will
deflect you around (you will need to know the magnetic field in the location
where this is taking place). You can ignore gravity, assume that the magnetic
field does not change during your jump, and you may get a stupid big value for
the radius, which is fine. State all other relevant assumptions.
Find the ideal angle of the ramp (in three dimensions) so that your initial velocity gives the smallest radius.
2)Power lines in North America run with up to 500 amperes of current that switches directions 60 times per second (meaning they go from +500 A to -500 A in 1/120 seconds). If you didn’t want to pay for electricity, estimate how much power you could “steal” from the overhead grid by using
one or more loops of wire to generate a current by magnetic induction. State
all relevant assumptions and design choices.
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