How much charge can be placed on a capacitor of plate area 15 cm² with air between the plates before it reaches "atmospheric breakdown" where E = 3.0 × 10⁶ V/m? (ε₀ = 8.85 × 10−¹² C²/N⋅m²) A) 4.0 × 10−⁸ C B) 5.8 × 10−⁷ C C) 6.5 × 10−⁶ C D) 7.6 × 10−⁵ C E) 1.5 × 10−¹² C

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Quizplus · Accepted Answer

The maximum charge (Q) can be calculated using the formula Q = ε₀ * A * E, where A is the area in m². Convert 15 cm² to m² (15 × 10⁻⁴ m²), then Q = 8.85 × 10⁻¹² C²/N⋅m² * 15 × 10⁻⁴ m² * 3.0 × 10⁶ V/m = 4.0 × 10⁻⁸ C.

How Much Charge Can Be Placed on a Capacitor of Plate