Induced Current in Outer Coil - Solution Explained

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SUMMARY

The discussion centers on the phenomenon of induced current in an outer coil when influenced by an inner coil. It is established that the induced current in the outer coil is greatest when the applied current in the inner coil is increasing rapidly. This conclusion is based on the principle that a faster change in current leads to a greater rate of change of magnetic flux, thereby inducing a stronger current in the outer coil. The consensus among participants confirms that rapid increases in the inner coil's current yield the highest induced current in the outer coil.

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[SOLVED] Induced Current

Homework Statement



If I have a scenario where one coil is insider another, in which of the following cases will the induced current in the outer coil be the greater?

When the applied current in the inner coil is increased slowly.
When the applied current in the inner coil is constant.
When the applied current in the inner coil is increasing rapidly.
When there is no applied current in the inner coil.

The Attempt at a Solution



I would say when the current in the inner coil is increasing rapidly, but I am not sure.

I just read that the faster the any changes are carried in setup, the greater the current, this should mean that if the applied current in the inner coil is increased fast, then the current should be greater, (but that would be for the inner), how about the outer.
 
Last edited:
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I should think so. Because faster the current in the inner one changes, the greater the rate of change of flux in the system, and hence, greater the variation of current in the outer coil.
 
ok, so far we both agree it's should be when the applied current in the inner coil is increasing rapidly. anyone else agree to this?
 

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