What is the electric field at a distance of 15 cm from an isolated point particle with a charge of 2 x 10-⁹ C? i N/C

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Chapter1: Units, Trigonometry. And Vectors
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**Question:**
What is the electric field at a distance of 15 cm from an isolated point particle with a charge of 2 x 10^-9 C?

**Answer:**
E= ______ N/C

**Explanation:**
This question pertains to the calculation of the electric field generated by a point charge. The electric field \( E \) at a distance \( r \) from a point charge \( Q \) can be calculated using Coulomb's law, given by the formula:

\[ E = \frac{k \cdot Q}{r^2} \]

where:
- \( k \) is Coulomb's constant (\( 8.99 \times 10^9 \, \text{N} \cdot \text{m}^2 / \text{C}^2 \)),
- \( Q \) is the point charge (\( 2 \times 10^{-9} \, \text{C} \)),
- \( r \) is the distance from the charge (\( 0.15 \, \text{m} \)).

Plugging in these values, the electric field can be calculated. The result should be expressed in units of Newtons per Coulomb (N/C).
Transcribed Image Text:**Question:** What is the electric field at a distance of 15 cm from an isolated point particle with a charge of 2 x 10^-9 C? **Answer:** E= ______ N/C **Explanation:** This question pertains to the calculation of the electric field generated by a point charge. The electric field \( E \) at a distance \( r \) from a point charge \( Q \) can be calculated using Coulomb's law, given by the formula: \[ E = \frac{k \cdot Q}{r^2} \] where: - \( k \) is Coulomb's constant (\( 8.99 \times 10^9 \, \text{N} \cdot \text{m}^2 / \text{C}^2 \)), - \( Q \) is the point charge (\( 2 \times 10^{-9} \, \text{C} \)), - \( r \) is the distance from the charge (\( 0.15 \, \text{m} \)). Plugging in these values, the electric field can be calculated. The result should be expressed in units of Newtons per Coulomb (N/C).
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