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

question 56

Multiple Choice

A parallel-plate capacitor with plate area A and plate separation d has a capacitance of 4 μF with the gap between the plates unfilled.The gap is then filled with two dielectric materials,one with dielectric constant 2 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)two capacitors in parallel,one with capacitance of 8 μF and the other with capacitance of 24 μF
• B)two capacitors in series,one with capacitance of 8 μF and the other with capacitance of 24 μF
• C)two capacitors in parallel,one with capacitance of 16 μF and the other with capacitance of 48 μF
• D)two capacitors in series,one with capacitance of 16 μF and the other with capacitance of 48 μF
• E)two capacitors in parallel,one with capacitance of 8 μF and the other with capacitance of 48 μF

---

Definitions:

Type I Error

Wrongly dismissing a true null hypothesis, commonly called a "false positive."

Type II Error

The statistical error occurring when a test fails to reject a false null hypothesis, also known as a "false negative."

Type I Error

The mistake of rejecting a true null hypothesis, also known as a false positive.

Type II Error

The statistical error that occurs when one fails to reject a false null hypothesis, a mistake of not detecting an effect that is there.