If an electric load draws a current of 2 A for 1 second, then calculate the number of electrons (with charge 1.6 × 10⁻¹⁹ C) passing through the load.
1.25 × 10¹⁹
Here's how to calculate the number of electrons passing through the load:
1. Find the total charge:
The formula for charge (Q) is given by:
\(Q = I \times t\)
where:
- \(I\) is the current in Amperes (A)
- \(t\) is the time in seconds (s)
Given \(I = 2 A\) and \(t = 1 s\), the total charge is:
\(Q = 2 A \times 1 s = 2 C\)
2. Calculate the number of electrons:
We know that the charge of a single electron (e) is \(1.6 \times 10^{-19} C\). To find the number of electrons (n), we can use the following formula:
\(n = \frac{Q}{e}\)
Substituting the values, we get:
\(n = \frac{2 C}{1.6 \times 10^{-19} C} = \frac{2}{1.6} \times 10^{19} = 1.25 \times 10^{19}\)
Therefore, the number of electrons passing through the load is \(1.25 \times 10^{19}\).
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