Danger? I laugh at danger!

One day, I was out bicycling when a thunderstorm cropped up. While frantically pedaling home at a speed of 10 km/hr10~\mbox{km/hr}, a wind blew a power line down and it brushed against the inside of my front wheel, putting a positive 1 C1~\mbox{C} charge on the wheel. I kept pedaling. If my bicycle wheels have radius 0.3 m0.3~\mbox{m}, what is the magnitude of the generated magnetic field in Teslas that I on my bike would measure at a distance of 0.1 m0.1~\mbox{m} perpendicular from the center of my front wheel?

Details and assumptions

  • Treat the wheels as thin conducting hoops.
  • You may assume the charge has spread out over the wheel but not left it yet.
  • My bike wheel was not slipping on the ground as I traveled.
  • The vacuum permeability is μ0=4π×107 H/m\mu_0=4\pi \times 10^{-7}~\mbox{H/m}.

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