Why isn't the Heat generated = Voltage*Charge carried?

AI Thread Summary
Power in an electrical circuit is defined as the work done divided by the time, leading to the formula Power = Voltage * Current. Heat dissipated can be calculated as Heat = Voltage * Current * time, where Current is derived from Charge carried over time. The confusion arises from the assumption that Heat dissipated equals Voltage multiplied by Charge carried directly. However, this is a different expression of the same concept, as the time factor is crucial in the relationship. Measuring current is generally more practical than measuring charge directly.
prakhargupta3301
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I found out that Power of an electrical circuit will be equal to the work done divided by the time T for which the power by the cell or battery is exerting to keep a potential difference V in the circuit for a charge Q.

Hence, Power= Voltage*Charge/time

Which then can be written as: Power= Voltage*Current

Now, when we want to calculate the heat dissipated, the formula is: Heat dissipated= Voltage*Current*time
But the value of current is already: Current= Charge Carried/ time
So, my problem is, why isn't Heat dissipated= Voltage*Charge carried/time*time = Voltage*Charge carried

Please help me.
 
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It is. That is just a different way to express the same thing.
 
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+1 What mfb said.

It's also lot easier to measure current than it is to measure charge.
 
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