Question

Three capacitors C₁ = 3μF, C₂ = 6μF, and C₃ = 10μF are connected to a 50 V battery as  shown in Figure  below:

Calculate:
(i) The equivalent capacitance of the circuit between points A and B.
(ii) The charge on C₁.

Answer 1

C₁ = 3μF, C₂ = 6μF, and C₃ = 10μF

if V' be in equivalent capacitance between C₁ and C₂ then

`1/(C')=1/(C_1)+1/(C_2)`

        =`1/3+1/6=3/6=1/2`

   C' = 2πF

Now,                                            C_Eq = C' +C₃ = 2 +10

                                                     C_Eq = 12πF

(i) Eq, capacitance between A and B = 12πF

(ii)   Charge at C₁ = 2 ×10^-6 × 50 C = 10^{- 4} C