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What is the value and unit of Coulomb's constant \[\frac{1}{4\pi\varepsilon_0}\]?

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Question

What is the value and unit of Coulomb's constant \[\frac{1}{4\pi\varepsilon_0}\]?

Options

  • Approximately 9 × 10⁻⁹ Nm²C⁻²

  • Approximately 1 Nm²C⁻²

  • Approximately 8.85 × 10⁻¹² C²N⁻¹m⁻²

  • Approximately 9 × 10⁹ Nm²C⁻²

MCQ
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Solution

Coulomb's constant, represented as \[\frac{1}{4\pi\varepsilon_0}\], has a value of approximately 9 × 10⁹ Nm²C⁻². This constant appears in all electrostatic calculations and relates the electric field strength to the source charges and distances.

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