Friday, January 24, 2025

Charge, Current & Time

A charge is a measurement of current that flows through a window of time, such as the amount of charge that flows through a wire in a minute or hour. 

We write charge with the letter Q, and the name of this measurement for change is Coulombs, so an equation of this would be:
Q=A*T, or Q (charge), is equal to A which is amps, multiplied by T, which is time usually written in seconds unless specified. 

So in an equation, it would look something like this:

    "A kettle draws 12 amps and takes 50 seconds to boil, how much charge has passed          through the wire."

Since we have amps as the voltage and we were given an amount of time, the math is easy, first, we multiply the 12 * 50, which provides us with 600 coulombs or charge.

What about another equation:

    "A phone charger takes a total charge of 43.2Kc (43.2 kilo-coulombs) over 2 hours,             what amount of current has flowed through the wire"

First, we change the equation to match the problem, so we will use:
I=Q/T.

Now, we multiply 43.2kC by 1000. Since a kilo is 1000, we convert it to 43,000c or 43,000 coulombs.
However, since we use seconds instead of hours in our equation, we have to multiply 2 hours by 60 to get 120 minutes, then another 60 to get seconds. 
Which is around 7,200 seconds, now we just plug in the 43,000 / 7,200, which gives us around 6a or 6 amps. 

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