Question #803eb

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Answer 1 · 2016-12-01T20:45:55

$the effective capacitance between the points A and B is \frac{3 C}{2}$ $"the effective capacitance between the points A and B is "(3C)/2$

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$figure-1$ $"figure-1"$

$the points C,E,G are the same points(colored red)$ $"the points C,E,G are the same points(colored red)"$

$the points A,D are the same points(colored blue)$ $"the points A,D are the same points(colored blue)"$

$the points F,B are the same points(colored green)$ $"the points F,B are the same points(colored green)"$

$simplify the figure-1 like figure-2$ $"simplify the figure-1 like figure-2"$

enter image source here

$figure-2$ $"figure-2"$

$C_{1}, C_{2}, C_{3} have connected as parallel$ $C_1,C_2,C_3" have connected as parallel"$

$C_{1}, C_{2}, C_{3} \Rightarrow C_{A} = C + C + C = 3 C$ $C_1,C_2,C_3 rArr C_A=C+C+C=3C$

$C_{4}, C_{5}, C_{6} have connected as parallel$ $C_4,C_5,C_6 " have connected as parallel"$

$C_{3}, C_{4}, C_{5} \Rightarrow C_{B} = C + C + C = 3 C$ $C_3,C_4,C_5 rArr C_B=C+C+C=3C$

$C_{A} and C_{B} have connected as serial$ $C_A and C_B " have connected as serial"$

$C_{AB} = \frac{3 C}{2}$ $C_("AB")=(3C)/2$