Question

Определить эквивалентную (общую) емкость батареи конденсаторов, изображенных на рисунке, если

Answer 1

Ответ:

С = 3.6 пФ

Объяснение:

$C_{123} = C_1 + C_2 + C_3 = 3 + 3 + 3 = 9\\\\C_{1234} = \frac{C_{123}C_4}{C_{123} + C_4} = \frac{9*9}{9 + 9} = 4.5\\\\C_{678} = C_6 + C_7 + C_8 = 3 + 3 + 3 = 9\\\\C_{5678} = \frac{C_{678}C_5}{C_{678} + C_5} = \frac{9*9}{9 + 9} = 4.5\\\\C_{12345678} = C_{1234} + C_{5678} = 4.5 + 4.5 = 9\\\\C_{10+11} = C_{10} + C_{11} = 9 + 9 = 18\\\\\frac{1}{C} = \frac{1}{C_{12345678}} + \frac{1}{C_9} + \frac{1}{C_{10+11}} = \frac{1}{9} + \frac{1}{9} + \frac{1}{18} = \frac{5}{18}\\\\C = \frac{18}{5} = 3.6$