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What is the dimensional formula of the electric field E?

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Question

What is the dimensional formula of the electric field E?

Options

  • \[[MLT^{-3}I^{-1}]\]

  • \[[MLT^{-3}I^{-2}]\]

  • \[[MLT^{-2}I^{-1}]\]

  • \[[ML^2T^{-3}I^{-1}]\]

MCQ
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Solution

The dimensional formula of electric field is derived from E = F/q₀. The dimensions of force are \[[LMT^{-2}]\] and the dimensions of charge are \[[IT]\]. Dividing gives \[\frac{[LMT^{-2}]}{[IT]} = [MLT^{-3}I^{-1}]\].

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