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

question 31

Multiple Choice

A parallel-plate capacitor with plate area A and plate separation d has a capacitance of 3.0
With the gap between the plates unfilled.The gap is then filled with two dielectric materials,one with dielectric constant 2.0 and the other one with dielectric constant 4.0.Each slab of dielectric has area A/2 and thickness d,the placing side-by-side of the dielectics 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?
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• A) a 4.5- capacitor and a 9- capacitor in parallel
• B) a 4.5- capacitor and a 9- capacitor in series
• C) a 9- capacitor and a 18- capacitor in parallel
• D) a 9- capacitor and a 18- capacitor in series
• E) ​a 4.5- capacitor and a 18- capacitor in parallel

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Definitions:

Significant Main Effect

An outcome in statistical analysis indicating that the independent variable has a statistically meaningful impact on the dependent variable.

Variable

Property or characteristic of an object, event, or person that can take on different values.

Marginal Means

Means for each level of an independent variable, averaging over the levels of any other independent variables.

Significant Main Effect

A significant main effect is an observed effect in ANOVA that shows a meaningful difference in the dependent variable due to one independent variable, beyond chance.