Answer:
The current flowing through the area is 1.6 Amperes.
Explanation:
The current (1) in a circuit is defined as the rate of flow of electric charge. The formula for current is given by:
In A ve
Where:
• I is the current,
n is the number of charge carriers (in this case, electrons) passing through the cross-sectional area per unit of time,
• A is the cross-sectional area through which the charge carriers are flowing,
v is the drift velocity of the charge carriers,
e is the elementary charge.
In this case, you mentioned that 10º electrons per second are flowing through an area of cross-section 10-4 m². Assuming these electrons are the only charge carriers, n would be 106.
Let's assume a typical drift velocity (v) for electrons in a conductor, and use the elementary charge (e):
I = (106 charges/second) (10-4 m²) (10-3 m/s) (1.6 × 10-19 C)
Now, calculate the current:
I = 1.6 Amperes
Therefore, the current flowing through the area is 1.6 Amperes.
The current is calculated by multiplying the number of electrons flowing per second (10⁶ electrons/s) by the charge of one electron (-1.60 × 10⁻¹⁹ C), which gives us 1.60 × 10⁻³ C/s, or 1.60 mA.
If 10⁶ electrons per second are flowing through an area of cross section 10⁻⁴ m², then the current will be calculated using the charge of one electron and the number of electrons flowing every second. Since the charge of one electron is -1.60 × 10⁻¹⁹ C (coulombs), the total charge per second is 10⁶ electrons/s multiplied by the charge of one electron.
To find the current, I = Q/t, where Q is the charge and t is the time in seconds. Therefore, I = (10⁶ electrons/s) × (-1.60 × 10⁻¹⁹ C/electron). Notice that we take the absolute value of the charge because current is a scalar quantity. This gives us: I = 10⁶ × 1.60 × 10⁻¹⁹ C/s = 1.60 × 10⁻³ C/s = 1.60 mA. Thus, the current is 1.60 milliamperes.
