A network of four capacitors of capacity equal to C1

A network of four capacitors of capacity equal to C₁ = C, C₂ = 2C, C₃ = 3C and C₄ = 4C are conducted to a battery as shown in the figure. The ratio of the charges on C₂ and C₄ is:

Equivalent capacitance for three capacitors (C₁, C₂ & C₃) in series is given by

	1	=	1	+	1	+	1	=	C₂C₃ + C₃C₁ + C₁C₂
	C_eq		C₁		C₂		C₃		C₁C₂C₃

⇒ C_eq =	C₁C₂C₃
	C₁C₂ + C₂C₃ + C₃C₁

⇒ C_eq =	C(2C)(3C)	=	6	C
	C(2C) + (2C)(3C) + (3C)C		11

Charge on capacitors (C₁, C₂ & C₃) in series

C_eqV =	6C	V
	11

Charge on capacitor C₄ = C₄V = 4C V

	Change on capacitor C₂	=	(6C/11)V	=	6	×	1	=	3
	Charge on C₄		4CV		11		4		22