an Ampere is the flow of 6.28 X 10^18 electrons per second past a fixed point in a conductor. how many flow past a fixed point if the current is 17.5 mA?
To find out how many electrons flow past a fixed point when the current is 17.5 mA, we need to use the formula that relates current to the number of electrons.
The formula is:
Number of electrons = Current (in Amperes) * Time (in seconds) / Charge of an electron
First, let's convert 17.5 mA to Amperes. 1 Ampere is equal to 1000 milliamperes (mA).
So, 17.5 mA = 17.5 / 1000 = 0.0175 Amperes.
Now, let's substitute the values into the formula:
Number of electrons = 0.0175 A * Time / Charge of an electron
We know that 1 Ampere is equal to the flow of 6.28 X 10^18 electrons per second. So we can conclude that the charge of an electron is 1 electron / (6.28 X 10^18) Amperes.
Now let's substitute this value into our formula:
Number of electrons = 0.0175 A * Time / (1 electron / 6.28 X 10^18 A)
The time is not given in the question, so we'll assume a time period of 1 second for simplicity.
Now let's substitute Time = 1 second:
Number of electrons = 0.0175 A * 1 second / (1 electron / 6.28 X 10^18 A)
By simplifying the expression, we get:
Number of electrons = 0.0175 A * 6.28 X 10^18 A
Multiplying these values together, we find:
Number of electrons = 0.1099 X 10^18
Therefore, the number of electrons that flow past a fixed point when the current is 17.5 mA is approximately 0.1099 X 10^18 electrons.