# Electric Power: P=VI Explained

In summary: Essentially in this concept, the power is constant, the work potential is constant, but the current and resistance can change in inverse proportion. Essentially, the lower the resistance the greater the current, and the higher the resistance the lower the current. This is the concept of Ohm's Law, which states that current is directly proportional to voltage and inversely proportional to resistance (I=V/R). So, in summary, the power (P) remains constant throughout the process and can be calculated by multiplying the current (I) and voltage (V) (P=VI). This relationship is known as the power formula.
I know that P = VI where P is power in watts (joule/second), V is voltage in volts (joule/coulomb), I is electric current in amps (coulomb/second).

My idea of work is like this. I use force (in Newton) to pick up a stone and take it from point A to point B with a distance d in meters. I think that's work in joule (Work = Force x distance). If I would apply this to electricity, the stone pertains to an electron.

My idea about power is, say I did what I did above in 1 second. Thus Power is equal to joule/second.

Now my question is this. Say that the pressure (Voltage) is 120 V and the flow 10 Amps is less (electric current). That means I have 1200 Watts of power. What if I switch values as in 10 V, 120 Amps. This clearly states that the pressure (Voltage) now is less while the flow (electric current) is much. Now my question is this. In the situation where the pressure is high and current is low, shouldn't the power be less? And in the situation where the pressure is low and the current is high, shouldn't the power be much?

The concept is clearer if you don't compare power in the electric instance to work in the mechanical one. If you think about the work done in moving a charge from one potential to another, it's W = qV. So, just as you get the same work if you lift one stone two meters or two stones one meter, you get the same work if you move one Coulomb two Volts or two Coulombs one Volt. Very similar to the mechanical case.

Power has to do with how fast you do the total work. You can use 10 W of power to do a billion Joules of work, just not very quickly. But, to compare work and power is something akin to comparing distance and speed - they can only be compared under very specific conditions.

The answer to your question is no, power would be equal. I think you are leaving out the concept of resistance in your reasoning.

Now my question is this. Say that the pressure (Voltage) is 120 V and the flow 10 Amps is less (electric current). That means I have 1200 Watts of power. What if I switch values as in 10 V, 120 Amps.
QUOTE]

When you say the V=120V and I=10A, you know by definition that R=12ohms. When switch, R= 83mohms. So,
in the first case (1):
you are moving less electrons (10A vs. 120A) through high resistivity (12ohms vs. 83mOhms) by use of a high voltage presure.

in the second case(2):
you are moving more electrons (120A) through less resistivity (83mOhms) by use of a lower voltage.

In your stone carrying experimet, it would be like:
well, exactly as the person above describes. More stones less travel vs. less stones more travel. The same work would be completed. You could also use the analogy "same number of stones, but different levels of water (say 2 ft and 5 ft) that the person must walk through to carry the stone different distances (say 1m for the 5 ft and 10m for the 2ft).

if you are still unclear on this, do the following. Pose the exact same question, but this time in terms of resistance and voltage; then do it again in terms of resistance and current. Then you will have all three interpretations only two of which are really needed, but the three together give different view points of the same problem. One thing I learned early on is to view a problem or concept from as many angles as possible.

gunslingor, thanks for the help. And you TVP45. I really appreciate your help.

After reading gunslingor's comment on this, the way I understand it is like this. In the first situation where there are more voltage, low current, and high resistance, the work needed to move 1 coulomb of electron is so much greater because of high resistance than moving 1 coulomb of electron in the second situation where there is low resistance. So basically the work done in the two situations in a second is equal although there are few electrons which are moved in the first situation than in the second situation because of their difference in the level of resistance.

Pretty much. let me modify as follows:

After reading gunslingor's comment on this, the way I understand it is like this. In the first situation where there is a stronger voltage, low current, and high resistance, the work needed to move 1 coulomb of electron is so much greater because of high resistance than moving 1 coulomb of electron in the second situation where there is low resistance; but since the voltage is higher in this case, the same work is performed. So basically the work done in the two situations in a second is equal although there are few electrons which are moved in the first situation than in the second situation because of their difference in the level of resistance and voltage levels.

One more example. Imagin I am building the great pyramids. starting on level one, I need a lot of blocks. On level two I need less blocks, but have to move them higher. And so on, until you only have to move one block at the top level, but it is very very high. Therefore, in conceptual theory, the total power to produce the pyrimad remains constant throughout the process even though the number of blocks changes (electrons, i.e. current) since the hieght (resistance) changes inversely to the number of blocks and the work potential (height per block or resistance times current) changes proportionally to the numeber of blocks (or inversely to to amount of current.

## What is electric power?

Electric power is the rate at which electric energy is transferred or converted into other forms of energy. It is typically measured in watts (W) and is calculated by multiplying the voltage (V) by the current (I).

## What is the formula for calculating electric power?

The formula for calculating electric power is P=VI, where P is power in watts, V is voltage in volts, and I is current in amperes.

## How does electric power affect my electricity bill?

Electric power is directly related to the amount of energy consumed, so the higher the electric power of a device or appliance, the more energy it uses and the higher your electricity bill will be.

## What is the difference between AC and DC electric power?

AC (alternating current) and DC (direct current) refer to the direction in which the electric current flows. AC power changes direction periodically, while DC power flows in only one direction. Most household appliances use AC power, while batteries and some electronics use DC power.

## How can I reduce my electric power usage?

You can reduce your electric power usage by turning off lights and electronics when not in use, using energy-efficient appliances, and adjusting your thermostat to conserve energy. It is also helpful to unplug chargers and other devices when not in use, as they can still draw power even when not in use.

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