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We know that power is current squared times resistance, and also voltage squared divided by resistance.
P=(I^2)*R
i.e. P is directly proportional to R..................(1)
P=(V^2)/R
i.e. P is inversely proportional to R................(2)
This presents a contradiction. Why does this contradiction occur and which among (1) and (2) is correct?
I've been wondering about this for long and am confused. Help will be greatly appreciated! Thank you.
IF CURRRENT IS CONSTANT THEN POWER IS DIRECTLY PROPORTIONAL TO RESISTANCE
AS HAPPENS IN SERIES CONNECTION.SUPPOSE THREE RESISTANCE 2,3&5OHM ARE CONNECTED IN SERIES THEN POWER CONSUMPTION
ORDER IS 5ohm>3ohm>2ohm.THIS IS BECAUSE DUE TO CONSTANT CURRENT IN THREE RESISTANCES" POWER CONSUMED~RESSTANE"
#P=V^2/R
IF POTENTIAL DIFF. IS CONSTANT THEN POWER IS INVERSELY PROPORTIONAL TO RESISTANCE
AS HAPPENS IN PARALLEL COMBINATION OF RESISTANCES. LET THREE RESISTOR OF INDIV. RESISTANCES 2,3&5 ohm CONNECTED IN PARALLEL THEN THE ORDER OF POWER CONSUMPTION IS AS FOLLOW
2ohm>3ohm>5ohm
the above trend is because power varies inversly with resistance in parallel combination
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