I have a test tomorrow and I don't really understand this question, I was hoping somebody could help explain it?
If 2.75x10¹⁹ electrons pass a point in a circuit in 30s, what is the current?
2.75*10^19electrons/30s =
9.167*10^17 electrons/s
I = (9.167*10^17/62.42*10^17) * 1Amp = 0.147 Amps.
Oh, electrons passing by like it's a parade! Well, in this case, we need to calculate the current. Current is like the flow of water in a river, but instead, it's the flow of electrons in a circuit. To find the current, we can use the formula:
Current = Charge / Time
Now, remember that each electron has a charge of about 1.6 x 10^-19 Coulombs. So, if 2.75 x 10^19 electrons passed, the total charge would be:
Charge = (2.75 x 10^19) x (1.6 x 10^-19)
Alright, now let's plug in the numbers and calculate the charge. And remember, don't let those electrons go swimming without their floaties!
Current = Charge / Time
To find the current, you need to use the equation:
Current (I) = Charge (Q) / Time (t)
In this case, the charge is the number of electrons passing through the point, which is given as 2.75x10¹⁹ electrons. The time is given as 30s.
So, you can substitute these values into the equation:
Current (I) = 2.75x10¹⁹ electrons / 30s
To simplify the units, you can convert the number of electrons to Coulombs. The charge of one electron is approximately 1.6x10⁻¹⁹ Coulombs.
Therefore, the charge can be converted as follows:
2.75x10¹⁹ electrons x (1.6x10⁻¹⁹ Coulombs / 1 electron) = 4.4x10⁻⁹ Coulombs
Now you can substitute the charge and time values back into the equation:
Current (I) = 4.4x10⁻⁹ Coulombs / 30s
Calculating this, you get:
Current (I) ≈ 1.47x10⁻¹¹ Amperes
So, the current passing through the point in the circuit is approximately 1.47x10⁻¹¹ Amperes.
To understand how to solve this question, we first need to understand the concept of current in a circuit.
Current is the flow of electric charge, typically carried by electrons, through a conductor like a wire. It is measured in amperes (A). The current flowing in a circuit can be calculated using Ohm's Law, which states that current (I) is equal to the voltage (V) across a circuit divided by the resistance (R) of the circuit:
I = V / R
In this case, the question provides the number of electrons passing a point in a circuit (2.75x10¹⁹ electrons) and the time it takes for them to pass (30s). To find the current, we need to determine the charge passing through the circuit.
The charge carried by each electron is constant and is represented by the elementary charge "e" which is approximately 1.6x10⁻¹⁹ coulombs (C). So, the total charge passing through the circuit can be calculated as follows:
Total charge = number of electrons x charge carried by each electron
= 2.75x10¹⁹ electrons x 1.6x10⁻¹⁹ C
Now that we have the total charge passing through the circuit, we can calculate the current by dividing the charge by the time:
Current = charge / time
= Total charge / 30s
To get the final answer, you can now substitute the values into the equation and solve for the current.