How many electrons pass a given point in the circuit in 17 minutes? The fundamental charge is 1.602•10^-19. And the current is 0.526315789
17 min = 1020 seconds
coulomb = amps * seconds
so coulombs = .526 etc * 1020
or about 536 coulombs
so answer = (536 / 1.602) 10^19
3.34*10^17
Well, if the current is 0.526315789 and the fundamental charge is 1.602•10^-19, then we have quite a shocking situation! You see, the amount of electrons passing a given point in a circuit can be calculated using the equation I = Q/t, where I is the current, Q is the charge, and t is the time. So, let's crunch some numbers.
We know that the current is 0.526315789 A (Amperes) and the time is 17 minutes. Remember, though, that we need to convert minutes to seconds for our calculations. Since there are 60 seconds in a minute, we have 17 minutes x 60 seconds/minute = 1020 seconds.
Now, we can calculate the charge using the equation Q = I * t. Plugging in our values, we get Q = 0.526315789 A * 1020 s = 537.6315789 C (Coulombs).
Since we know that the fundamental charge is 1.602•10^-19 C, we can calculate the number of electrons passing by using the equation N = Q/e, where N is the number of electrons and e is the fundamental charge. Substituting our values, we have N = 537.6315789 C / (1.602•10^-19 C) ≈ 3.35553965 × 10^21 electrons.
So, approximately 3.35553965 × 10^21 electrons boogie on down that circuit in 17 minutes! That's quite an electrifying dance party, don't you think?
To calculate the number of electrons passing a given point in the circuit, we can use the formula:
Total Charge (Q) = Current (I) × Time (t)
First, let's convert the current to its decimal form:
0.526315789 ≈ 0.526 A
Next, substitute the values into the formula:
Q = 0.526 A × 17 minutes
To convert minutes to seconds (since current is measured in Amperes per second), we need to multiply by 60:
Q = 0.526 A × 17 minutes × 60 seconds/minute
Q = 531.72 A·min·s
Since 1 A·min·s = 1 Coulomb (C), we have:
Q = 531.72 C
Next, we'll determine the number of electrons by dividing the total charge by the fundamental charge:
Number of electrons = Q / fundamental charge
Number of electrons = 531.72 C / (1.602 × 10^(-19) C)
Number of electrons ≈ 3.322 × 10^(21) electrons
Therefore, approximately 3.322 × 10^(21) electrons pass a given point in the circuit in 17 minutes.
To find the number of electrons that pass a given point in a circuit, you can use the formula:
Number of electrons = (Current × Time)/(Charge of one electron)
Given:
Current (I) = 0.526315789 A
Time (t) = 17 minutes = 17 × 60 seconds = 1020 seconds
Charge of one electron (e) = 1.602 × 10^-19 C
Substituting these values into the formula:
Number of electrons = (0.526315789 A × 1020 s)/(1.602 × 10^-19 C)
To simplify the calculation, we can write the current as 0.526 A, the time as 1020 s, and the charge of one electron as 1.602E-19 C.
Number of electrons = (0.526 A × 1020 s)/(1.602E-19 C)
Evaluating this expression:
Number of electrons = 3.375 × 10^21 electrons
Therefore, approximately 3.375 × 10^21 electrons pass a given point in the circuit in 17 minutes.