the electric power consumed by a device may be calculated by using either of the two expressions p = i square r or P = V square by R the first expression indicates that it is directly proportional to R while II indicates that it is inversely proportional to R how can the dependence of P on r be explained
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1-In case of

,
if I is constant with R.and in case of
, P is inversely proportional to R if V is constant with R.
2- For series combination of the resistors,current will be same.
Electric power consumed by the resistance R,=P1=
Electric power consumed by the resistance 2R=P2=
Now,dividing P1 by P2,we get
P1/P2=1/2

,
if I is constant with R.and in case of
, P is inversely proportional to R if V is constant with R.
2- For series combination of the resistors,current will be same.
Electric power consumed by the resistance R,=P1=
Electric power consumed by the resistance 2R=P2=
Now,dividing P1 by P2,we get
P1/P2=1/2
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