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elegysix
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Homework Statement
suppose we have a coil sitting on a desk (with radius =1), and then a spark passes by the side of it, in such a way that the magnetic flux through the coil is maximized. The coil is attached to a full wave rectifier which is connected to a very large capacitor.
There is an initial potential difference of 1.94MV, which causes the air to break down and creates a 2m long spark.Find the average V and maximum V in the coil during dielectric breakdown
How much power can the coil produce from the spark?
Homework Equations
B(R,t)[itex]\approx\frac{\mu_{0}I(t)}{2\pi R}[/itex] (in the region of the coil)
[itex]\Phi_{B}(t)=\oint B(R,t) \bullet ds[/itex]
V(t)=N[itex]\frac{d\Phi_{B}(t)}{dt}[/itex]
The Attempt at a Solution
I know that the V in the coil depends on [itex]\frac{d\Phi_{B}}{dt}[/itex]
and B depends on the current, but since this is a spark, I don't know how to say what the current is...
I think [itex]\frac{d\Phi_{B}}{dt}[/itex] will be very large since the time is almost instantaneous, but I have no idea how to handle a spark as a current.
This is not for class, but just to satisfy my curiosity
any help would be greatly appreciated!
thanks!
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