A parallel plate capacitor has plate area 40 cm² and plate separation 2 mm. The space between the plates is filled with a dielectric medium of thickness 1 mm and dielectric constant 5. The capacitance of the system is:
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Question

A parallel plate capacitor has plate area 40 cm² and plate separation 2 mm. The space between the plates is filled with a dielectric medium of thickness 1 mm and dielectric constant 5. The capacitance of the system is:

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G1 Physics · Accepted Answer

The dielectric layer and air layer act as capacitors in series. C = ε₀A/[(t/K) + (d-t)]. With A = 40 × 10⁻⁴ m², d = 2 × 10⁻³ m, t = 1 × 10⁻³ m and K = 5, C = (10/3)ε₀ F.