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Eric Wright
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Homework Statement
Suppose we have a toroidal solenoid with square cross section and whose axis of symmetry lies along the z axis. Suppose a current I(t)=kt runs through the solenoid. Find the induced electric field at an arbitrary point on the z axis.
Homework Equations
[tex] \oint \vec E \cdot d \vec l = \frac{d \Phi}{dt} [/tex]
The Attempt at a Solution
I am wanting to use faradays law in integral form, but there doesn't seem to be a good path to integrate around such that the E field will be constant on the path. I have already found the B field generated by a steady current I. Is it applicable to use faradays law just replacing I in the formula for the B field with I(t)?
Any suggestions about how to start this problem correctly would be much appreciated!
Thanks,
Eric
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