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Physics · Electrostatic Potential

हिन्दी

Which of the following expressions correctly represents the SI unit of capacitance, 1 Farad (\( 1\text{ F} \))?

  1. \( 1\text{ C}^{-1}\cdot\text{V} \)
  2. \( 1\text{ C}^2\cdot\text{N}^{-1}\cdot\text{m}^{-1} \)
  3. \( 1\text{ N}\cdot\text{m}\cdot\text{C}^{-2} \)
  4. \( 1\text{ C}^2\cdot\text{N}\cdot\text{m}^{-2} \)

Correct answer · Option 2

\( 1\text{ C}^2\cdot\text{N}^{-1}\cdot\text{m}^{-1} \)

Explanation

\( 1\text{ F} = 1\text{ C}\cdot\text{V}^{-1} = 1\text{ C}\cdot(\text{N}\cdot\text{m}\cdot\text{C}^{-1})^{-1} = 1\text{ C}^2\cdot\text{N}^{-1}\cdot\text{m}^{-1} \).
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