Question

Two identical capacitors each consists of two circular parallel plates with a radius of 1.6 cm and a separation distance of 3.0 mm. They are filled with a dielectric which has a dielectric constant (strength) of LaTeX: \kappaκκ = 32. These two capacitors are connected in parallel, and connected to a 1.5V battery

a) what is their total capacitance?

b) If the dielectric is removed what is the total capacitance?

c) What energy is stored on the capacitors when they are fully charged?

Answer 1

Part(a)

Capacitance of capacitor is given as:

A= area of palates

d= distance between plates

Therefore, capacitance of each capacitor is:

In parallel combination equivalent capacitance is given by:

Part(b)

Capacitance of capacitor when dielectric is not fill between plates is given by :

Therefore, capacitance of each capacitor is given by :

In parallel combination equivalent capacitance is given by :

Part(c)

Energy stored when they are fully charged is (when dielectric is fill) :

When not fill with dielectric :