From the figure find the capacitance of the capacitor?

Step-by-step solution

The given capacitor can be viewed as a series combination of two capacitors C₁ and C₂ where C₁= ₀ K₁ A / 2 d ; C₂= ₀ K₂ A / 2 d where d is the separation between the plates, The effective capacitance aligned & C= C₁ C₂ C₁+C₂ & = ₀ K₁ A / 2 d ₀ K₂ A / 2 d ₀ K₁ A / 2 d + ₀ K₂ A / 2 d = ( ₀ A 2 d )^2 K₁ K₂ ( ₀ A 2 d ) (K₁+K₂ ) & = ₀ A 2 d ( K₁ K₂ K₁+K₂ ) aligned