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Dimension of electric flux is ________.

Asked in GSEB Board July 2021 · Units and dimensions

• (1) M¹L⁻³T⁻³A⁻¹
• (2) M¹L³T⁻³A⁻²
• (3) M¹L⁻³T³A⁻¹
• (4) M¹L³T⁻³A⁻¹

Step-by-step solution

Why the other options are wrong

• (1) M¹L⁻³T⁻³A⁻¹ has the sign of the length exponent reversed. The area multiplies in, so its L² adds to the one power of length already in the field and gives L³; nothing here divides by an area.
• (2) M¹L³T⁻³A⁻² carries A⁻². Two inverse powers of current would mean the charge appeared squared, as it does in ε₀ or in a resistance. In Φ_E=q/(ε₀) the single charge in the numerator cancels one of the two in ε₀, leaving A⁻¹.
• (3) No single slip produces M¹L⁻³T³A⁻¹ -- it reverses both the length and the time exponents at once. Sanity check: Φ_E=EA with [E]=M¹L¹T⁻³A⁻¹ fixes it at M¹L³T⁻³A⁻¹.

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