How much greater in one microcoulomb compared to an electric charge?

Options

A. `10^13` times
B. `10^10` times
C. `10^11` times
D. `10^6` times

Answer

To solve the question of how much greater one microcoulomb is compared to an electric charge (specifically the charge of an electron), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Units**:
- One microcoulomb (µC) is equal to \(1 \times 10^{-6}\) coulombs.
- The charge of one electron is approximately \(1.6 \times 10^{-19}\) coulombs.

2. **Set Up the Calculation**:
- To find out how many electrons are equivalent to one microcoulomb, we will divide the total charge of one microcoulomb by the charge of one electron.
\[ \text{Number of electrons} = \frac{1 \times 10^{-6} \text{ C}}{1.6 \times 10^{-19} \text{ C/electron}} \]

3. **Perform the Division**:
- Carry out the division:
\[ \text{Number of electrons} = \frac{1 \times 10^{-6}}{1.6 \times 10^{-19}} = \frac{1}{1.6} \times 10^{13} \]
- Calculate \( \frac{1}{1.6} \):
\[ \frac{1}{1.6} \approx 0.625 \]
- Therefore:
\[ \text{Number of electrons} \approx 0.625 \times 10^{13} \approx 6.25 \times 10^{12} \]

4. **Round the Result**:
- Since \(0.625\) is greater than \(0.5\), we can round it to \(1\) when expressing in powers of ten.
- Thus, we can say that:
\[ 1 \text{ microcoulomb} \approx 10^{13} \text{ electrons} \]

5. **Conclusion**:
- Therefore, one microcoulomb is approximately \(10^{13}\) times greater than the charge of a single electron.

### Final Answer:
One microcoulomb is approximately \(10^{13}\) times greater than the charge of an electron.