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

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SUMMARY

The discussion clarifies the relationship between power, voltage, charge, and heat dissipation in electrical circuits. It establishes that power is defined as the work done divided by time, leading to the equation Power = Voltage * Current. The heat dissipated in a circuit is calculated using the formula Heat dissipated = Voltage * Current * time. The confusion arises when attempting to equate heat dissipated to Voltage * Charge carried, which is addressed by recognizing that current is a more practical measurement than charge.

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  • Understanding of electrical circuit concepts
  • Familiarity with the relationship between power, voltage, and current
  • Knowledge of heat dissipation in electrical systems
  • Basic grasp of charge and its measurement in circuits
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  • Learn about the practical measurement of current in circuits
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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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