When the Potential Difference Between the Plates of an Ideal $\mathrm { V }$

When the potential difference between the plates of an ideal air-filled parallel plate capacitor is 35 $\mathrm { V }$ , the electric field between the plates has a strength of $750 \mathrm {~V} / \mathrm { m }$ . If the plate area is $4.0 \times 10 ^ { - 2 } \mathrm {~m} ^ { 2 }$ , what is the capacitance of this capacitor? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } 2 / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)$

A) $7.6 \times 10 ^ { - 10 } \mathrm {~F}$
B) $7.6 \times 10 ^ { - 11 } \mathrm {~F}$
C) $7.6 \times 10 ^ { - 12 } \mathrm {~F}$
D) $7.6 \times 10 ^ { - 14 } \mathrm {~F}$
E) None of the other choices is correct.

Correct Answer:

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