The power developed in an unknown resistance R is same as power developed across the resistance 8ohm if they separately connected to the battery of internal resistance 4ohm then value of R
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first we need to find the current folwing in each case.
in case 1
i=e/r+R
=e/12
in case 2
i=e/4+R
now as power developed us same
p1=p2
V*e/12=V*e/4+r
r=12-4
=8ohms
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