How many times will the capacitance of the capacitor change when the working area of the plates decreases by 2 times
| January 12, 2021 | education
How many times will the capacitance of the capacitor change when the working area of the plates decreases by 2 times and the distance between them decreases by 3 times.
To calculate the change in the capacitance of the specified capacitor, we use the ratio: k = CK / Cn = (ε * ε0 * Sk / dc) / (ε * ε0 * Sn / dn) = Sk * dn / (Sn * dc).
Variable ratios: Sн (initial area of the plates) = 2Sк (final area); dн (initial distance between plates) = 3dk (final distance).
Let’s make a calculation: k = Sk * 3dk / (2Sk * dk) = 3/2 = 1.5 rubles.
Answer: The capacity of the specified capacitor will increase by 1.5 times.
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