Induced Current in Outer Coil - Solution Explained

AI Thread Summary
The discussion centers on determining when the induced current in an outer coil is greatest based on the behavior of an inner coil. It is concluded that the induced current in the outer coil will be greatest when the applied current in the inner coil is increasing rapidly. This is due to the principle that a faster change in current leads to a greater rate of change of magnetic flux, which induces a stronger current in the outer coil. Participants agree that rapid changes in the inner coil's current result in higher induced currents in the outer coil. The consensus emphasizes the relationship between the rate of change of current and the 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.
 
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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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