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?
I = 17.5mA / 1000 = 0.0175 Amps.
e=0.175/1) * 6.28*10^18 = 1.099*10^17 electrons.
To find out how many electrons flow past a fixed point if the current is 17.5 mA, we can use the formula:
I = n * e * f
Where:
I is the current in Amperes,
n is the number of electrons,
e is the charge of an electron (1.6 x 10^-19 coulombs), and
f is the frequency (number of electrons passing per second).
First, we need to convert the given current from milliamperes (mA) to Amperes (A):
17.5 mA = 17.5 x 10^-3 A
Now, we can rearrange the formula and solve for n:
n = I / (e * f)
Substituting the values we have:
n = (17.5 x 10^-3 A) / (1.6 x 10^-19 C * 6.28 x 10^18 electrons/s)
Calculating the expression:
n ≈ 1.73 x 10^19 electrons
Therefore, approximately 1.73 x 10^19 electrons flow past a fixed point if the current is 17.5 mA.
To determine the number of electrons flowing past a fixed point if the current is 17.5 mA (milliamperes), we can use the formula:
Number of electrons = Current (in Amperes) * Time (in seconds) * Number of electrons per Ampere
First, let's convert the given current from milliamperes to Amperes. We know that 1 mA = 0.001 A, so:
17.5 mA = 17.5 * 0.001 = 0.0175 A
Next, we'll substitute the values into the formula:
Number of electrons = 0.0175 A * 1 second * (6.28 × 10^18 electrons per Ampere)
Calculating this expression gives the following result:
Number of electrons = 0.0175 * 1 * 6.28 × 10^18 = 0.0175 * 6.28 × 10^18
To simplify the calculation, we can first multiply 0.0175 by 6.28:
0.0175 * 6.28 = 0.1099
Now we can multiply the result by 10^18:
0.1099 * 10^18 = 1.099 × 10^17
Therefore, if the current is 17.5 mA, approximately 1.099 × 10^17 electrons will flow past a fixed point in one second.