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Question: What is the area of the plates of a 5 mm...

What is the area of the plates of a 5 mm

A

1.694×109 m21.694 \times 10 ^ { 9 } \mathrm {~m} ^ { 2 }

B

4.529×109 m24.529 \times 10 ^ { 9 } \mathrm {~m} ^ { 2 }

C

9.281×109 m29.281 \times 10 ^ { 9 } \mathrm {~m} ^ { 2 }

D

12.981×109 m212.981 \times 10 ^ { 9 } \mathrm {~m} ^ { 2 }

Answer

1.694×109 m21.694 \times 10 ^ { 9 } \mathrm {~m} ^ { 2 }

Explanation

Solution

By using the relation C=ε0AdC = \frac { \varepsilon _ { 0 } A } { d }

⇒ A=Cdε0=3×5×10−38.85×10−12=1.694×109 m2A = \frac { C d } { \varepsilon _ { 0 } } = \frac { 3 \times 5 \times 10 ^ { - 3 } } { 8.85 \times 10 ^ { - 12 } } = 1.694 \times 10 ^ { 9 } \mathrm {~m} ^ { 2 }