Question
A parallel plate capacitor is half-filled with a
dielectric slab (K = 4). What is its effective capacitance, assuming plate separation d?Solution
Let the parallel plate capacitor have plates of area A and separation d. The original capacitance without the dielectric is 
When a dielectric slab of thickness d/2 and dielectric constant K=4 is inserted, the capacitor can be considered as two capacitors connected in series: 1.    A capacitor with air (or vacuum, K=1) and plate separation d/2. Its capacitance 
2. A capacitor with the dielectric (K=4) and plate separation d/2. Its capacitance 
The effective capacitance Ceff of two capacitors in series is given by: 
Therefore the correct answer is option (A).
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