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_____ m² is the area of a parallel plate capacitor having capacitance 8.85 μF, whose plates are kept at a distance of 1 mm.

Asked in GSEB Board August 2020 · Capacitance of a conductor and a capacitor

Answer: (1) 1×10³

Step-by-step solution

Given: C = 8.85 μF = 8.85×10⁻⁶ F, d = 1 mm = 10⁻³ m, ε₀ = 8.85×10⁻¹² C² N⁻¹ m⁻².

Idea: C = (ε₀A)/d, so A = (Cd)/(ε₀).

A = (8.85×10⁻⁶×10⁻³)/(8.85×10⁻¹²) = 1×10³ m².

That is a plate about 32 m on a side: a microfarad is a very large capacitance for an air-filled parallel plate capacitor.

So A = 1×10³ m².

Why the other options are wrong

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