A parallel-plate capacitor is constructed by filling the space between two square plates with blocks of three dielectric materials, as shown above. You may assume that e>>d. Which of the following is an expression for the capacitance of the device in terms of the plate area A and d, K1, K, and K3.

A parallel-plate capacitor is constructed by filling the space between two square plates with blocks of three dielectric materials, as shown above. You may assume that e>>d. Which of the following is an expression for the capacitance of the device in terms of the plate area A and d, K1, K, and K3.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter8: Capacitance

Section: Chapter Questions

Problem 53P: A parallel-plate capacitor has charge of magnitude 9.00F on each plate and capacitance 3.00F when...

See similar textbooks

Related questions

Q: In the figure below, a 16.0 V battery is connected across capacitors of capacitances with the…

A: Draw the equivalent circuit for the given circuit diagram:

Q: Calculate the capacitance of a single capacitor with the same effect as the shown combination C2 a b…

Q: A parallel plate capacitor with area A and separation d has a capacitance C. What would its…

A: Data provided: A parallel-plate capacitor Area = A, separation between plates = d Capacitance = C…

Q: A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them. If…

Q: An air-filled capacitor is made from two flat parallel plates 1.0 mm apart. The inside area of each…

A: a. the capacitance is

Q: Find the capacitance ( in units of pF) of a parallel plate capacitor that is made of two parallel…

Q: A parallel plate capacitor of capacitance Co has plates of area A with separation d between them. If…

A: Dielectric is an insulating material. Adding a dielectric between the plates of a capacitor…

Q: In a parallel plate capacitor experiment, mixed Q values were read into V for A=200 mm2 and d=6mm.…

A: Capacitor: The capacitor is a component which has the ability or “capacity” to store energy in the…

Q: What is the capacitance of a parallel plate capacitor with metal plates. each plate has an area of…

A: formula required is as follows;

Q: A parallel plate air capacitor has a capacitance of 5.0 F. What is its capacitance if the…

Q: Assume that a drop of mercury is an isolated sphere. What is the capacitance of a drop that results…

Q: A parallel plate capacitor of capacitance CO has plates of area A with separation d between them. If…

A: Given A parallel plate capacitor of capacitance Co Area A separation d To calculate the new…

Q: Determine the capacitance of the given spherical cross section as shown in figure below with the…

A: A spherical cross section with radius R,2R, and 3R and filled with dielectric K1 between R and 2R,…

Q: The area of the capacitor plates of a capacitor is 2.1x108m2. The capacitor contains a polyvinyl…

Q: An air-filled capacitor is made from two flat parallel plates 1.3 mm apart. The inside area of each…

Q: A parallel plate capacitor of capacitance co has plates of area A with separation d between them. If…

Q: Find the capacitance (in units of pF) of a parallel plate capacitor that is made of two parallel…

Q: Find the capacitance ( in units of pF) of a parallel plate capacitor that is made of two parallel…

A: We have to know about parallel plate capacitor.

Q: Select the correct expression for the capacitance of a parallel plate capacitor with two plates of…

A: Given data, Area of the plate of the capacitor = A Separation between the plates = r Dielectric…

Q: A parallel plate capacitor has the following capacitance: C = ɛ, ·, where ɛ, is the vacuum…

A: Capacitance is basically the capacity of storing charges. It's unit is Farad.

Q: Find the capacitance ( in units of pF) of a parallel plate capacitor that is made of two parallel…

Q: A parallel plate capacitor with area A and distance d has capacitance C. If now the area is half (A…

Q: Three capacitors are connected in series to a CR123 lithium battery where one has dielectrics…

A: Given that three capacitors are connected in series as shown in the figure. One capacitor C345 has…

Q: A parallel plate capacitor is made of 350 plates, separated by a paraffined paper 0.001cm thick. The…

Q: A parallel-plate capacitor is constructed by filling the space between two square plates with a…

Q: An air-filled capacitor is made from two flat parallel plates 1.2 mm apart. The inside area of each…

Q: The dielectric materials used for region A, B, and C are air (e =1), mylar (e =3.2), and teflon (e…

A: we have Capacitance = ε0εrAreaseparation

Q: A parallel-plate capacitor with plates of area LW and plate separation t has the region between its…

Q: Wood has a dielectric constant of 2.80. If capacitor A originally has a capacitance of 0.5 F, what…

A: Dielectric substance are the insulating substance or a poor conductor of electric electricity. When…

Q: A parallel plate capacitor has plates of area A = 6.50 ✕ 10−2 m2 separated by distance d = 2.07 ✕…

Q: A parallel-plate capacitor is charged and then disconnected from a battery. Then, the plate…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: A thin-walled, hollow, conducting cylinder with radius rb is concentric with a solid conducting…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The dielectric materials used for region A, B, and C are air (e = 1), mylar (e =3.2), and teflon (e…

Q: A parallel plate air capacitor has a capacitance of 5.0 F. What is its capacitance if the…

A: we know Capacitance of a parallel plate Capacitor C= ε0Ad where ε0 =permittivity of free space A =…

Q: lindrical cable has an inner conductor of radius a = 0.0058 m, a surrounding conductor of radius b =…

A: a) Let We have a coaxial cylindrical cable that has an inner conductor of radius a and outer…

Q: Calculate the side length of a parallel plate capacitor with an air gap of 8.2 mm if its capacitance…

A: Given Data:- Air gap between the two plates is d=8.2 mm=8.2mm×1 m103 mm=8.2×10-3 m Capacitance of…

Q: A parallel-plate capacitor has plates 2.0cm by 3.0cm. The plates are separated by a 1.0mm thickness…

A: The capacitance of a parallel plate capacitor is given by C = kεoAd, where k = dielectric constant…

Q: Find the capacitance ( in units of pF) of a parallel plate capacitor that is made of two parallel…

Q: Select the correct expression for the capacitance of a parallel plate capacitor with two plates of…

Q: A slab of material of dielectric constant K has the same area as that of the plates of a parallel…

A: The expression for the capacitance of a parallel plate capacitor is C=ε0Ad Here, C is the…

Q: A capacitor is made with plates of area A = 0.255 m2, separated by a distance d = 0.386 mm. Between…

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

A parallel-plate capacitor is constructed by filling the space between two square plates with blocks of three dielectric materials, as shown above. You may assume
that e>>d. Which of the following is an expression for the capacitance of the device in terms of the plate area A and d, K1, K, and K3.

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

Step 2

Step 3

Step 4

Answer

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 3 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

By what factor is the capacitance of a metal sphere multiplied if its volume is tripled? (a) 3 (b) 31/3 (c) 1 (d) 31/3 (e) 13
A pair of capacitors with capacitances CA = 3.70 F and CB = 6.40 F are connected in a network. What is the equivalent capacitance of the pair of capacitors if they are connected a. in parallel and b. in series?
a. If capacitor B in Figure 27.8 has a charge of 0.5 nC, what is the potential difference between its plates and how much potential energy does it store? b. If capacitor A in Figure 27.8 stores the same amount of potential energy found in part (a), what is the magnitude of the excess charge on its plates? What is the potential difference between its plates? Use the capacitance CA found in Concept Exercise 27.2.
A capacitor has parallel plates of area 12 cm2 separated by 2.0 mm. The space between the plates is filled with polystyrene, (a) Find the maximum permissible voltage across the capacitor to avoid dielectric breakdown, (b) When the voltage equals the value found in part (a), find the surface charge density on the surface of the dielectric.
Given the arrangement of capacitors in Figure P27.23, find an expression for the equivalent capacitance between points a and b. Figure P27.23 Problems 23 and 24.
When a 360-nF air capacitor is connected to a power supply, the energy stored in the capacitor is 18.5J . While the capacitor is connected to the power supply, a slab of dielectric is insetted that completely fills die space between the plates. This increases the stored energy by 23.2J . (a) What is the potential difference between the capacitor plates? (b) What is die dielectric constant of the slab?
A 6.50-F capacitor is connected to a battery. What is the charge on each plate of the capacitor if the voltage of the battery is a. 10.0 V and b. 2.00 V?
If you have ever tried to hang a picture or a mirror, you know it can be difficult to locate a wooden stud in which to anchor your nail or screw. A carpenters stud finder is a capacitor with its plates arranged side by side instead of facing each other as shown in Figure 20.32. When the device is moved over a stud, does the capacitance (a) increase or (b) decrease?
A parallel-plate capacitor has charge of magnitude 9.00F on each plate and capacitance 3.00F when there is air between the plates. The plates are separated by 2.00 mm. With the charge on the plates kept constant, a dielectric with =5 . is inserted between the plates, completely filling the volume between the plates, (a) What is the potential difference between the plates of the capacitor, before and after the dielectric has been inserted? (b) What is the electrical field at the point midway between the plates before and after the dielectric is inserted?
Earth can be considered as a spherical capacitor with two plates, where the negative plate is the surface of Earth and the positive plate is the bottom of the ionosphere, which is located at an altitude of approximately 70 km. The potential difference between Earth’s surface and the ionosphere is about 350,000 V. (a) Calculate the capacitance of this system, (b) Find the total charge on this capacitor, (c) Find the energy stored in this system.
The dielectric to be used in a parallel-plate capacitor has a dielectric constant of 3.60 and a dielectric strength of 1.60107 V/m. The capacitor has to have a capacitance of 1.25 nF and must be able to withstand a maximum potential difference 5.5 kV. What is the minimum area the plates of the capacitor may have?
A capacitor is constructed from two square, metallic plates of sides and separation d. Charges +Q and Q are placed on the plates, and the power supply is then removed. A material of dielectric constant K is inserted a distance x into the capacitor as shown in Figure P20.85. Assume d is much smaller than x. (a) Find the equivalent capacitance of the device. (b) Calculate the energy stored in the capacitor. (c) Find the direction and magnitude of the force exerted by the plates on the dielectric. (d) Obtain a numerical value for the force when x = /2, assuming = 5.00 cm, d = 2.00 mm, the dielectric is glass ( = 4.50), and the capacitor was charged to 2.00 103 V before the dielectric was inserted. Suggestion: The system can be considered as two capacitors connected in parallel. Figure P20.85