Question

Three identical capacitors C₁ , C₂ and C₃ of capacitance 6 μF each are connected to a 12V battery as shown. 

Find:

 

(i) charge on each capacitor 

(ii) equivalent capacitance of the network 

(iii) energy stored in the network of capacitors

Answer 1

(i) Capacitors C₁ and C₂ are in series across a 12V supply while there exists p.d. of 12V across capacitor C₃. 

Effective Capacitance of C₁ and C₂ is

Charge on each of capacitors C₁ and C₂ is same:

 

Charge on capacitor C₃, q₃ = C₃V

(ii) Equivalent capacitance of network

(iii) Energy stored in the network