### Capacitor Capacitance Comparison ExerciseThe plate areas and plate separations of five parallel plate capacitors are defined as follows:**Capacitor Specifications:**1. **Capacitor 1:** Area \( A \), Separation \( d \)2. **Capacitor 2:** Area \( 2A \), Separation \( 2d \)3. **Capacitor 3:** Area \( 2A \), Separation \( \frac{d}{2} \)4. **Capacitor 4:** Area \( \frac{A}{2} \), Separation \( 2d \)5. **Capacitor 5:** Area \( A \), Separation \( \frac{d}{2} \)**Task:**Rank these capacitors according to their capacitances from **Least to Greatest**. Options for ranking the capacitances:1. 4, 1 and 2 tie, 5, 32. 1, 2, 3, 4, 53. 5, 4, 3, 2, 14. 4, 1 and 2 tie, 5, 35. 3, 5, 1 and 2 tie, 4### Explanation:1. **Capacitance Formula for a Parallel Plate Capacitor** The capacitance \( C \) of a parallel plate capacitor is given by the formula: \[ C = \frac{\epsilon_0 A}{d} \] where \( \epsilon_0 \) is the permittivity of free space, \( A \) is the area of one plate, and \( d \) is the separation between the plates.2. **Applying the Formula to Given Capacitors:** - **Capacitor 1:** \( \frac{\epsilon_0 A}{d} \) - **Capacitor 2:** \( \frac{\epsilon_0 2A}{2d} = \frac{\epsilon_0 A}{d} \) - **Capacitor 3:** \( \frac{\epsilon_0 2A}{d/2} = \frac{4\epsilon_0 A}{d} \) - **Capacitor 4:** \( \frac{\epsilon_0 (A/2)}{2d

Answered: Image /qna-images/answer/50970bd6-b4b6-46b5-87c3-588846adc40b.jpg

Answered: capacitances from Least to Greatest

Science

Physics

capacitances from Least to Greatest

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: How does the dielectric constant affect capacitance? As the dielectric constant increases, how does…

Q: 15 pF For the system of capacitors shown in Fig find the equivalent capacitance between a and c. 9.0…

A: The capacitor 9.0 pF and 11 pF are connected in parallel combination. Evaluate the equivalent…

Q: The charge on each capacitor in a set of capacitors in parallel is Group of answer choices…

Q: A type of rain gauge consists of two separated vertical plates connected to a device that measures…

A: The device which is used for collecting and measuring the amount of rain which falls on the earth’s…

Q: If the potential difference across a capacitor is tripled, by what factor does the stored energy…

A: The energy stored in the capacitor when the potential difference is V is calculated as,…

Q: If you have 3 capacitators, how many combinations of capacitance can you produce?

Q: ith the same capacitor and fixed capacitance, when the applied voltage is doubled, the final…

A: Energy stored in capacitor U = (1/2) CV2

Q: What total capacitances of larger value (in µF) can you make by connecting a 5.65 µF and a 8.30 µF…

Q: Explain in words using physics concepts why inserting a dielectric material into a capacitor…

A: When we fill the capacitor with a dilectric material Then it's capacitance gets increased. Reason…

Q: Determine the equivalent capacitance of the combination shown when C = 12 pF 20 2.0 pF 8.0 pF 6.0 pF…

A: C = 12 pF

Q: 10) One common kind of computer keyboard is based on the idea of capacitance. Each key is mounted on…

A: Given data *The separation between plates is d = 0.15 × 10-3 m *The plate area is a = 9.50 × 10-5 m2…

Q: given 2 identical capacitors how can you achieve the smallest equivalent capacitance for the…

A: Given that:- Two identical capacitors is available for combination.

Q: 20 20 20

A: Given : Capacitance, C = 30.01 μF

Q: Increasing the capacitance of a capacitor by two times and keeping the charge constant, will causes…

Q: what ways are a capacitor and a battery similar, and in what ways are they different?

A: capacitor .The potential energy is stored in the electric field . It is a passive component of a…

Q: (a) When capacitors are connected in series, all capacitors have the same charge the voltage across…

Concept explainers

Dielectric Constant Of Water

Water constitutes about 70% of earth. Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.

Electrostatic Potential and Capacitance

An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.

Question

100%

### Capacitor Capacitance Comparison Exercise

The plate areas and plate separations of five parallel plate capacitors are defined as follows:

**Capacitor Specifications:**
1. **Capacitor 1:** Area \( A \), Separation \( d \)
2. **Capacitor 2:** Area \( 2A \), Separation \( 2d \)
3. **Capacitor 3:** Area \( 2A \), Separation \( \frac{d}{2} \)
4. **Capacitor 4:** Area \( \frac{A}{2} \), Separation \( 2d \)
5. **Capacitor 5:** Area \( A \), Separation \( \frac{d}{2} \)

**Task:**
Rank these capacitors according to their capacitances from **Least to Greatest**.

Options for ranking the capacitances:
1. 4, 1 and 2 tie, 5, 3
2. 1, 2, 3, 4, 5
3. 5, 4, 3, 2, 1
4. 4, 1 and 2 tie, 5, 3
5. 3, 5, 1 and 2 tie, 4

### Explanation:

1. **Capacitance Formula for a Parallel Plate Capacitor**
The capacitance \( C \) of a parallel plate capacitor is given by the formula:
\[
C = \frac{\epsilon_0 A}{d}
\]
where \( \epsilon_0 \) is the permittivity of free space, \( A \) is the area of one plate, and \( d \) is the separation between the plates.

2. **Applying the Formula to Given Capacitors:**
- **Capacitor 1:** \( \frac{\epsilon_0 A}{d} \)
- **Capacitor 2:** \( \frac{\epsilon_0 2A}{2d} = \frac{\epsilon_0 A}{d} \)
- **Capacitor 3:** \( \frac{\epsilon_0 2A}{d/2} = \frac{4\epsilon_0 A}{d} \)
- **Capacitor 4:** \( \frac{\epsilon_0 (A/2)}{2d

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Two condensers of capacitors C₁ and C₂ are joined in parallel and this combination is joined in series with a condenser of capacity C3, show that the capacity of combination is, C₂ C₁ C₂ B
My house consumes about 30 kWh in 1 day. If we charge up a capacitor using the wall (120 Volts), what capacitance would it have to have, in order to have one day’s worth of energy for my house?
a 7.0 mf and 3.0 mf capacitor are connected in series across a 24 V battery. What voltage is required to charge a parallel combination of the two capacitors to the same total energy? (with drawing of circut)
Does the capacitance of a device depend on the applied voltage? Does the capacitance of a device depend on the charge residing on it?
Two separate capacitors, C1 and C2 C1 = 36 micro-Coulomb on 3 micro-Farad C2 = 72 uC on X uF, X = 3.5 , if zero X =2 C2 had a gap of 0.2m maintained by a compressed plastic spring inside the gap, the natural spring length was 0.5m, the compressed spring length was 0.2 m. Spring constant = 8,000 micro-Newton/ meter Action: Connected the two capacitors in parallel Part A Find Q2-new, C2-new, new gap Part B Find the initial total energy, the final total energy
What factors affect the capacitance of a capacitor and how do these factors affect the capacitance?
#87: The flash unit in a camera uses a special circuit to “step up” the 3.0 V from the batteries to 300 V, which charges a capacitor. The capacitor is then discharged through a flashlamp. The discharge takes 10 ms, and the average power dissipated in the flashlamp is 105 W. What is the capacitance of the capacitor?
what is the maximum capacitance between two pieces of aliminium foil if both have an area of 23 cm x 18 cm seperated by 1.0 mm of air (10^-10)
What is the relationship of the capacitance to electric potential?
Why is the charge on capacitors always equal and opposite?
If three unequal capacitors are connected in series, what can we say about the equivalent capacitance of these capacitors? It is greater than any of the individual capacitances. It is less than any of the individual capacitances. It is somewhere between the largest and smallest capacitances. We can't determine anything without knowing the values of the individual capacitances.
What total capacitances can you make by connecting a 5µF and a 10µF capacitor together? O 12µF O 10µF SµF SµF O 3.3 µF