Question

Calculate the area of the plates of a one farad parallel plate

capacitor if separation between plates is 1 mm and plates

are in vacuum

(a) 18 × 10⁸ m² (b) 0.3 × 10⁸ m²

(c) 1.3 × 10⁸ m² (d) 1.13 × 10⁸ m²

Answer 1

Answer:

d) 1.13 x 10⁸ m²

Explanation:

Capacitance of a parallel plate capacitor is given by

$C = \epsilon_{0}( \frac{A}{d} )$

$1 = 8.85 \times {10}^{ - 12} ( \frac{A}{ {10}^{ - 3} } )$

$1 = 8.85 \times {10}^{ - 9} \times A$

$A = \frac{ {10}^{9} }{8.85}$

$A = 1.13 \times {10}^{8} {m}^{2}$