Physics II / Dielectrics and Polarisation
Practice question · Numerical answer

A capacitor of capacitance 4.0 pF in vacuum is completely filled with a dielectric of relative permittivity 2.5. Compute its new capacitance in pF.

Hints
  1. Capacitance scales directly with relative permittivity.
  2. Compute 4.0 x 2.5.
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10 (answers within ±0.2 count)

Why

C=εrC0=2.5×4.0=10C = \varepsilon_r C_0 = 2.5 \times 4.0 = 10 pF. Every geometric factor is unchanged; only the medium’s response has altered.

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