Answer:
5.49×10¯⁴ m²
Explanation:
From the question given above, the following data were obtained:
Distance (d) = 2.22×10¯⁴ m
Charge (Q) = 5.24×10¯⁹ C
Potential difference (V) = 240 V
Permittivity of free space (ε₀) = 8.85×10¯¹² F/m
Area (A) =?
Thus, the area of the plate can be obtained as follow:
Q = ε₀AV /d
5.24×10¯⁹ = 8.85×10¯¹² × A × 240 / 2.22×10¯⁴
5.24×10¯⁹ = 2.12×10¯⁹ × A / 2.22×10¯⁴
Cross multiply
2.12×10¯⁹ × A = 5.24×10¯⁹ × 2.22×10¯⁴
Divide both side by 2.12×10¯⁹
A = (5.24×10¯⁹ × 2.22×10¯⁴) / 2.12×10¯⁹
A = 5.49×10¯⁴ m²
Thus, the area of the plates is 5.49×10¯⁴ m².