Question

1. Please show ALL work/steps.
2. An ideal air-filled parallel-plate capacitor with horizontal square plates (plate dimensions of 2.0cm x 2.0cm, separation between the plates of 1mm) is initially connected to a 9V battery. While still connected to the battery, a piece of cardboard (paper) is slid between the plates to fill all of the space between them. Which of the statements is true?
   1. (A) All of the statements listed below are false.
   2. (B) The charge on the capacitor with the dielectric now added has decreased by 63.7x10^-12C.
   3. (C) The energy stored in the capacitor with the dielectric now added is 0.43nJ.
   4. (D) The voltage on the capacitor with the dielectric now added has increased by 27V.
   5. (E) The capacitance of the capacitor with the dielectric now added is 3.54x10^-12F.

Answer 1

solution:

(A) All of the statements listed below are false.

Explanations:

The energy stored in an empty isolated capacitor is decreased by a factor ofwhen the space between its plates is completely filled with a dielectric with dielectric constant.

Introducing a dielectric into a capacitor decreases the electric field, which decreases the voltage, which increases the capacitance. A capacitor with a dielectric stores the same charge as one without a dielectric, but at a lower voltage.

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