wo parallel-plate capacitors C1 and C2 are connected in parallel to a 12.0 V battery. Both capacitors have the same plate area of 5.30 cm2 and plate separation of 2.65 mm. However, the first capacitor C1 is filled with air, while the second capacitor C2 is filled with a dielectric that has a dielectric constant of 2.10. (a) What is the charge stored on each capacitor

Complete Question

Two parallel-plate capacitors C1 and C2 are connected in parallel to a 12.0 V battery. Both capacitors have the same plate area of 5.30 cm2 and plate separation of 2.65 mm. However, the first capacitor C1 is filled with air, while the second capacitor C2 is filled with a dielectric that has a dielectric constant of 2.10.

(a) What is the charge stored on each capacitor

 (b)  What is the total charge stored in the parallel combination?

a

   i    

   ii    

b

Explanation:

From the question we are told that

   The  voltage of the battery is  

    The  plate area of each capacitor is  

    The  separation between the plates is  

     The permittivity of free space  has a value  

     The  dielectric constant of the other material is  

The  capacitance of the  first capacitor is mathematically represented as

substituting values

The  charge stored in the first capacitor is  

substituting values

The capacitance of the second  capacitor is mathematically represented as

substituting values

The  charge stored in the second capacitor is  

substituting values

Now  the total charge stored in the parallel combination is mathematically represented as

substituting values