The area of each plate of a flat capacitor is 520 cm2. At what distance from each other should the plates be placed in the air so that the condensate capacity is 46pF?
The capacity of a flat capacitor C, F, can be determined by the formula
C = ε * ε0 * S / d,
where ε is the relative dielectric constant of the medium between the plates (for air ε ≈ 1);
ε0 = 8.85 * 10 ^ (- 12) F / m – electrical constant;
S is the area of one of the capacitor plates, m ^ 2;
d is the distance between the plates, m.
Then the required distance d is equal to
d = ε * ε0 * S / C = 1 * 8.85 * 10 ^ (- 12) * 520 * 10 ^ (- 4) / (46 * 10 ^ (- 12)) = 10 * 10 ^ (- 3 ) m = 10 mm.
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