According to joule's law of heating, H=VIT,on applying Ohm's law, we g

1.	According to joule's law of heating, H=VIT,on applying Ohm's law, we get H=I^2RT.....so heat is directly proportional to resistance.......however if we substitute I=V/R(from Ohm's law), we get H=V^2T/R,that is heat is inversely proportional to resistance.......how can the same heat be directly and inversely proportional to same resistance by applying the same formula in two different cases?
Answer» Explanation: When considering a two circuits connected in SERIES to a battery, Current will be same but voltage is DIFFERENT. So for a given RESISTANCE, HEAT will be, $h = {i}^{2} rt$ When we consider two circuits connected in PARALLEL to a battery, Voltage will be same but current is different. So for a given resistance, Heat will be $h = \frac{ {v}^{2} }{r} t$

According to joule's law of heating, H=VIT,on applying Ohm's law, we get H=I^2RT.....so heat is directly proportional to resistance.......however if we substitute I=V/R(from Ohm's law), we get H=V^2T/R,that is heat is inversely proportional to resistance.......how can the same heat be directly and inversely proportional to same resistance by applying the same formula in two different cases?

Answer»

Explanation:

When considering a two circuits connected in SERIES to a battery, Current will be same but voltage is DIFFERENT.

So for a given RESISTANCE, HEAT will be,

$h = {i}^{2} rt$

When we consider two circuits connected in PARALLEL to a battery, Voltage will be same but current is different.

So for a given resistance, Heat will be

$h = \frac{ {v}^{2} }{r} t$

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