Charge Relation Eba1Ca
1. **State the problem:** We are given the equation $$l\varepsilon = \frac{q}{6 \times 10^{18}} = 1.6 \times 10^{-19} q$$ and need to understand or verify the relationship.
2. **Analyze the equation:** The equation shows two expressions for $$l\varepsilon$$ involving $$q$$.
3. **Compare the two expressions:**
$$\frac{q}{6 \times 10^{18}} = 1.6 \times 10^{-19} q$$
4. **Simplify the left side:**
$$\frac{q}{6 \times 10^{18}} = q \times \frac{1}{6 \times 10^{18}}$$
5. **Evaluate the numerical value:**
$$\frac{1}{6 \times 10^{18}} = \frac{1}{6} \times 10^{-18} \approx 0.1667 \times 10^{-18} = 1.667 \times 10^{-19}$$
6. **Compare with the right side coefficient:**
$$1.6 \times 10^{-19}$$ is approximately equal to $$1.667 \times 10^{-19}$$, showing the two expressions are nearly equal.
7. **Conclusion:** The equation expresses $$l\varepsilon$$ as proportional to $$q$$ with a constant factor close to $$1.6 \times 10^{-19}$$, which matches the approximate value of $$\frac{1}{6 \times 10^{18}}$$.
**Final answer:** $$l\varepsilon = 1.6 \times 10^{-19} q$$