How many times will the capacitance of a flat capacitor increase if the plate area is increased by 8 times
| May 18, 2021 | education
How many times will the capacitance of a flat capacitor increase if the plate area is increased by 8 times, and the distance between them is reduced by 2 times?
To calculate the increase in the capacitance of the specified flat capacitor, we apply the formula: n = Cc / Cn = (ε * ε0 * Sk / dc) / (ε * ε0 * Sn / dn) = (Sk / dc) / (Sn / dn) = dn * Sк / (dк * Sн).
Variable ratios: Sk (final area of the plate) = 8Sn (initial area of the plate); dн (initial distance between plates) = 2dk (final distance).
Let us perform the calculation: n = dn * Sk / (dk * Sn) = 2dk * 8Sn / (dk * Sn) = 16 p.
Answer: The capacity of the said flat capacitor has increased 16 times.
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