Does a copper plate affect mutual induction between two circular coils?

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    Copper Plate Riddle
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SUMMARY

The introduction of a copper plate between two identical circular coils significantly affects mutual induction. When a copper plate is placed between the coils, eddy currents are induced, which oppose the penetration of time-varying magnetic fields. This results in a reduction of mutual induction, potentially bringing it to zero if the copper plate is sufficiently thick and large. Therefore, the presence of the copper plate decreases the coefficient of mutual induction between the coils.

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ragav
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Two days ago in my physics class, one of my friends asked me a question:

"There are 2 identical circular coils with radius 'r', length 'l' and 'n' no. of turns placed with their axes lying on a straight line, and current is let to pass through them so that mutual induction is observed.What happens to the magnitude of mutual induction when a copper plate is introduced between these two coils?"

I said "The coefficient of mutual induction increases and thereby the mutual induction increases."

He said "Eddy currents are produced in the Cu plate and thereby mutual induction gets reduced".

And i still don't know which one is true.

--
rAgAv
 
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Sorry, but it is your friend who is right. The eddy currents induced in the conducting plate opposes to the penetration of time varying magnetic fields. If the copper plate is thick (and big) enough it will shield the two coils. The mutual inductance will be zero (or near zero).
 
thanks. That helped
 

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