Three capacitors C 1 = 2   μ F ,   C 2 = 6   μ F and C 3 = 12   μ F are…

Three capacitors C1=2 μF, C2=6 μF and C3=12 μF are connected as shown in the figure. Find the ratio of the charges on capacitors C1, C2 and C3 respectively.

  1. 3:4:4
  2. 2:3:3
  3. 2:1:1
  4. 1:2:2

Solution

From the above circuit diagram, the equivalent capacitance of the combination of capacitors is, 

Ceq=C1+C2C3C2C3

Ceq=2+6×126+12=6 μF

Then, QC1QC2=C1VC2C3C2+C3V=2×(6+12)6×12=12 

and QC2=QC3

So, the ratio of charges are, 1:2:2.

Asked in: JEE Main 2021 (27 Aug Shift 2)

Practice more Electrostatics questions on Aicharya