Electric

current

Amount Electric Current Luminosity Mass Temperature Time Length SI Units About Mole Mole Ampere Ampere Metre Metre Candela Candela Kilogram Kilogram Kelvin Kelvin Second Second
Electric current is a flow of electricity through a medium and its SI unit is the ampere, with the symbol A. The flow is typically through a wire and composed of electrons, the tiny particles that make up electricity. For most practical purposes the ampere is a measure of the amount of electric charge passing a particular point in a given time. To illustrate the ampere we can ask the simple question: how many electrons does it take to make a cup of tea?
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How many atoms electrons are needed to make a cup of tea?
The next SI Unit is the metre (m). Find out how long it would take to walk around planet Earth. Other SI units are available from the menus at the top of the page.
Unit Conversions Cup of tea
We more often than not refer to the ampere simply as an amp, and an amp has the units of 1 coulomb per second. Mathematically we can show this as 1 A = 1 C/s. But what is a coulomb? It is the derived SI unit of electric charge and 1 coulomb contains around 6.241 x 1018 electrons. Let's look at that number written out fully: 
624,100,000,000,000,000 
Remember that this is the amount of electrons passing a single point in a wire every single second. There are so many of them that it's natural to assume that they are whizzing past at some tremendous speed, but that's not the case. In fact, they are moving very slowly - typically only about a metre or two an hour, but they are very, very small.  So we know that 1 A = 1 C/s and we know how many electrons there are in a coulomb. A typical kettle will draw about 2000 watts of power, and how many coulombs per second that is depends on the voltage being used. In England, a country associated with drinking copious amounts of tea, the mains voltage is 230v so we will use that as our example. Amps can be calculated from watts divided by voltage so in England (and the rest of the UK) a 2000W kettle will use around: 
2000W / 230v = 8.7A 
In other words around 8.7 coulombs per second. It takes about 90 seconds to boil enough water for a cup of tea, and, as stated above, an amp is a coulomb per second, so to boil the water in the kettle it will need: 
90 s x 8.7 A = 783 coulombs 
We can now finally work out how many electrons we need to make a cup of tea. The answer is simply the number of coulombs multiplied by the number of electrons in a coulomb:
783 x 6.241 x 1018 = 4.887 x 1021 electrons 
Writing that out fully we get: 
4,887,000,000,000,000,000,000 electrons 
Why not try working out how long it would take to count that number of electrons at a rate of one electron a second? (Answer at the bottom of the page.) 
In the US the mains voltage is lower at 120v. That means even more electrons are needed to boil the same amount of water. Carrying out the mathematics (as above) it takes about 16.7 amps, or about 9.380 x 1021 electrons. Note that same amount of power is used in both the UK and US examples. The difference is that the number of electrons passing a single point in the wire is greater in the US than the UK, but the energy each electron possesses is lower. We can either use a lot of low energy electrons, or fewer electrons but each with higher energy.  Finally, note that the actual number of electrons will be a little different (by percentage) to those calculated here. For a more precise answer we would need to measure the initial temperature of the water and take electrical resistance into account, as well as a number of other factors. Still, the final answer will be close enough and certainly gives a sense of understanding electric current and its SI unit, the ampere. 
Answer to question:  A year is about 60 x 60 x 24 x 365 = 31500000 seconds. So it would take 4887000000000000000000 divided by 31500000 = 1500000000000000 years to count the electrons at one a second, 24 hours a day, 365 days a year (you can take a day off each leap year...) To put this into context, it would take about 1.5 x 1015 years to count the electrons. The age of the Universe is about 13.7 x 109 years, so it would take longer to count the electrons than the Universe has so far been around for. Best get started now...

Electric current

Amount Electric Current Luminosity Mass Temperature Time Length
Electric current is a flow of electricity through a medium and its SI unit is the ampere, with the symbol A. The flow is typically through a wire and composed of electrons, the tiny particles that make up electricity. For most practical purposes the ampere is a measure of the amount of electric charge passing a particular point in a given time. To illustrate the ampere we can ask the simple question: how many electrons does it take to make a cup of tea?
Unit Conversions
How many atoms electrons are needed to make a cup of tea?
The next SI Unit is the metre (m). Find out how long it would take to walk around planet Earth. Other SI units are available from the menus at the top of the page.
Cup of tea
We more often than not refer to the ampere simply as an amp, and an amp has the units of 1 coulomb per second. Mathematically we can show this as 1 A = 1 C/s. But what is a coulomb? It is the derived SI unit of electric charge and 1 coulomb contains around 6.241 x 1018 electrons. Let's look at that number written out fully: 
624,100,000,000,000,000 
Remember that this is the amount of electrons passing a single point in a wire every single second. There are so many of them that it's natural to assume that they are whizzing past at some tremendous speed, but that's not the case. In fact, they are moving very slowly - typically only about a metre or two an hour, but they are very, very small.  So we know that 1 A = 1 C/s and we know how many electrons there are in a coulomb. A typical kettle will draw about 2000 watts of power, and how many coulombs per second that is depends on the voltage being used. In England, a country associated with drinking copious amounts of tea, the mains voltage is 230v so we will use that as our example. Amps can be calculated from watts divided by voltage so in England (and the rest of the UK) a 2000W kettle will use around: 
2000W / 230v = 8.7A 
In other words around 8.7 coulombs per second. It takes about 90 seconds to boil enough water for a cup of tea, and, as stated above, an amp is a coulomb per second, so to boil the water in the kettle it will need: 
90 s x 8.7 A = 783 coulombs 
We can now finally work out how many electrons we need to make a cup of tea. The answer is simply the number of coulombs multiplied by the number of electrons in a coulomb:
783 x 6.241 x 1018 = 4.887 x 1021 electrons 
Writing that out fully we get: 
4,887,000,000,000,000,000,000 electrons 
Why not try working out how long it would take to count that number of electrons at a rate of one electron a second? (Answer at the bottom of the page.) 
In the US the mains voltage is lower at 120v. That means even more electrons are needed to boil the same amount of water. Carrying out the mathematics (as above) it takes about 16.7 amps, or about 9.380 x 1021 electrons. Note that same amount of power is used in both the UK and US examples. The difference is that the number of electrons passing a single point in the wire is greater in the US than the UK, but the energy each electron possesses is lower. We can either use a lot of low energy electrons, or fewer electrons but each with higher energy.  Finally, note that the actual number of electrons will be a little different (by percentage) to those calculated here. For a more precise answer we would need to measure the initial temperature of the water and take electrical resistance into account, as well as a number of other factors. Still, the final answer will be close enough and certainly gives a sense of understanding electric current and its SI unit, the ampere. 
Answer to question:  A year is about 60 x 60 x 24 x 365 = 31500000 seconds. So it would take 4887000000000000000000 divided by 31500000 = 1500000000000000 years to count the electrons at one a second, 24 hours a day, 365 days a year (you can take a day off each leap year...) To put this into context, it would take about 1.5 x 1015 years to count the electrons. The age of the Universe is about 13.7 x 109  years, so it would take longer to count the electrons than the Universe has so far been around for. Best get started now...
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