OlympIQ
Read before you solve · 3 min

Read Dimensions: Use Energy Density to Derive Permittivity

This short read prepares one exact NSEP pattern: permittivity in alternative fundamental units. Identify the physical condition before calculating.

NSEP · General Physics · 1 linked question · 100% coverage
Know this first

Permittivity in Alternative Fundamental Units is the central idea in this question pattern. Identify the condition in the stem before applying the method below.

Study deeper: NCERT Physics · General Physics

Start with the physical model

Read the configuration once, state the conserved quantity or governing law, and mark any changing geometry, sign convention or limiting condition.

Build the relation

Electrostatic energy density has the form
u = (1/2)ε0E2, and E has units V/L

Pressure has the same units as energy density.

Therefore ε0 = Pa /(V2L-2) = Pa·L2V-2

This is option B.

Check before selecting

Check units, sign and one limiting case. A valid result must still fit the original geometry and stated constraint.

OlympIQ exam lens

  • ✓Name the governing law before using a formula.
  • ✓Keep the stated geometry and direction information explicit.
  • ✓Use one unit or limiting-case check.
OlympIQ trap

Start with a physical relation such as energy density rather than trying to memorise SI dimensions in a new base system.

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