1. Concept: The electric potential created by a single point charge at a certain distance is calculated linearly using Coulomb's constant.
2. Formula: $$ V = \frac{k q}{r} $$
3. Solution: - Identify values: \( q = 2 \times 10^{-6} \text{ C} \), \( r = 1 \text{ m} \), \( k = 9 \times 10^9 \text{ Nm}^2/\text{C}^2 \).
- Substitute: \( V = \frac{(9 \times 10^9) (2 \times 10^{-6})}{1} \)
- Simplify powers of 10: \( 10^9 \times 10^{-6} = 10^3 \).
- Calculate: \( V = 18 \times 10^3 \text{ V} \).
- Convert to scientific notation: \( 18 \times 10^3 = 1.8 \times 10^4 \text{ V} \).
4. Why other options are incorrect: Option A shifts the decimal incorrectly. Options B and C utilize the wrong power of 10, common when failing to substitute \( \mu = 10^{-6} \) correctly.
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