How many electrons constitute an electric charge of `-16muC` ?

Options

A. `10^13`
B. `10^14`
C. `10^15`
D. `10^12`

Answer

To find out how many electrons constitute an electric charge of \(-16 \mu C\), we can follow these steps:

### Step 1: Convert microcoulombs to coulombs
The charge given is \(-16 \mu C\). We need to convert microcoulombs to coulombs using the conversion factor:
\[ 1 \mu C = 10^{-6} C \]
Thus,
\[ -16 \mu C = -16 \times 10^{-6} C = -1.6 \times 10^{-5} C \]

### Step 2: Use the charge of a single electron
The charge of a single electron is approximately:
\[ e = -1.6 \times 10^{-19} C \]

### Step 3: Calculate the number of electrons
To find the number of electrons (\(n\)) that make up the total charge, we can use the formula:
\[ Q = n \cdot e \]
Where \(Q\) is the total charge, \(n\) is the number of electrons, and \(e\) is the charge of one electron. Rearranging the formula gives:
\[ n = \frac{Q}{e} \]
Substituting the values we have:
\[ n = \frac{-1.6 \times 10^{-5} C}{-1.6 \times 10^{-19} C} \]

### Step 4: Perform the calculation
Now, we can simplify the calculation:
\[ n = \frac{1.6 \times 10^{-5}}{1.6 \times 10^{-19}} = 10^{14} \]

### Conclusion
Thus, the number of electrons that constitute an electric charge of \(-16 \mu C\) is:
\[ n = 10^{14} \]