# Induced Electric field

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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