1.

In the given circuit if the internal resistance of the batteries are negligible, then for what value of resistance R("in" Omega) will the thermal power generated in it be maximum.

Answer»

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Solution :GIVEN circuit can be simplified as dotted part can be replaced as`epsilon=_(eq)=(6/3+0/6)/(1/3+1/6)=4V`
`1/r_(eq)=1/3+1/6 rArr r_(eq)=2Omega`
then current `I=(10-4)/(2+R)=6/(2+R)`
POWER in R, `P=(6/(2+R))^2R=(36R)/((2+R)^(2))`
for P to be maximum `(dP)/(dR)=0`
on solving `R=2Omega`


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