Induced Electric field

Electricity and Magnetism Level 5

The figure above shows a current \(I\) flowing through a toroid with \(N=1,000\) turns. There will be a magnetic field in the toroid whose expression can be found through Ampere's loop law. The current changes according to the law \(\frac {di}{dt} = 5\) amps. Find \(E\), the magnitude of the induced electric field at the centre of the figure.

Details and Assumptions

  • Approximate the toroid as having a fairly uniform radius which is to say assume \(r=10 \text{ cm}\)
  • The radius of the inner portion of toroid is \(R=1\text{cm}\)
  • \(\mu _{ 0 }\) = \(\displaystyle 4 \pi \times 10^{-7}\)

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