A Parallel-Plate Capacitor with Plate Area a and Plate Separation

question 76

Multiple Choice

A parallel-plate capacitor with plate area A and plate separation d has a capacitance of 3
With the gap between the plates unfilled.The gap is then filled with two dielectric materials,one with dielectric constant 3 and the other one with dielectric constant 6.Each slab of dielectric has area A and thickness d/2,the layering of the dielectrics resulting in the gap being completely filled.Which of the following combinations of capacitors will have the same capacitance as the newly filled parallel-plate one?

• A) a 9- capacitor and a 18- capacitor in parallel
• B) a 9- capacitor and a 18- capacitor in series
• C) a 18- capacitor and a 36- capacitor in parallel
• D) a 18- capacitor and a 36- capacitor in series
• E) ​a 9- capacitor and a 36- capacitor in parallel

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