# Parallel Plate Capacitor Connected to Battery: Answers

• shimizua
In summary, a parallel plate capacitor with plate separation d is connected to a battery and is fully charged to Q Coulombs and a voltage of V Volts. When disconnected from the battery, inserting a dielectric with kappa > 1 will increase the capacitance (C) and stored energy (U). However, increasing d will decrease C and V, and decreasing d will decrease C. None of the statements are correct.
shimizua

## Homework Statement

A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V Volts. (C is the capacitance and U is the stored energy.) Give all correct answers concerning a parallel-plate capacitor charged by a battery (e.g. B, AC, CDF). If none of the statements is correct, enter the word none.

A) After being disconnected from the battery, inserting a dielectric with kappa > 1 will decrease V.
B) After being disconnected from the battery, increasing d increases U.
C) After being disconnected from the battery, increasing d decreases V.
D) With the capacitor connected to the battery, inserting a dielectric with kappa > 1 will increase U.
E) After being disconnected from the battery, inserting a dielectric with kappa > 1 will increase C.
F) After being disconnected from the battery, decreasing d decreases C.

## The Attempt at a Solution

ok so i had thought it was ACD but that was said to be wrong. don't know where i am going wrong

I think C is false. Increasing d will decrease C, so V = Q/C will increase.
I would say D is false, too. Using V = Q/C in U=.5CV^2 = .5Q^2/C means that when C increases, U decreases.
E is true - the dielectric makes it a better capacitor with greater C
F is true - greater capacitance with reduced D.

A good presentation of the material.

## 1. How does a parallel plate capacitor work when connected to a battery?

A parallel plate capacitor works by storing electrical energy between two parallel conducting plates. When connected to a battery, one plate becomes positively charged and the other becomes negatively charged. This creates an electric field between the plates, allowing the capacitor to store energy.

## 2. What is the purpose of connecting a parallel plate capacitor to a battery?

The purpose of connecting a parallel plate capacitor to a battery is to allow the capacitor to store electrical energy. This stored energy can then be used to power electronic devices or circuits.

## 3. How does the voltage of the battery affect the parallel plate capacitor?

The voltage of the battery affects the parallel plate capacitor by determining the amount of charge that can be stored on the plates. A higher battery voltage will result in a larger electric field between the plates and therefore a greater amount of charge stored in the capacitor.

## 4. Can a parallel plate capacitor be connected to any type of battery?

Yes, a parallel plate capacitor can be connected to any type of battery as long as the voltage of the battery is compatible with the capacitor. It is important to match the voltage of the battery to the voltage rating of the capacitor to avoid damaging either component.

## 5. How does the distance between the plates affect the capacitance of a parallel plate capacitor connected to a battery?

The distance between the plates affects the capacitance of a parallel plate capacitor connected to a battery by directly impacting the electric field between the plates. The closer the plates are, the stronger the electric field and the greater the capacitance. Conversely, increasing the distance between the plates decreases the capacitance.

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