Consider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size xxbxd with dielectric constant K is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 30- V is attached accros the capacitor. Take K = 7.5, a = 11 cm, b = 36 cm, d = 0.3 cm, and x = 6.5 cm. a The capacitance, C = 565.7706 Units pF The echarge, Q = 16.9731 air The energy, U = 2546 Units NC x Units nJ K X d

Consider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size xxbxd with dielectric constant K is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 30- V is attached accros the capacitor. Take K = 7.5, a = 11 cm, b = 36 cm, d = 0.3 cm, and x = 6.5 cm. a The capacitance, C = 565.7706 Units pF The echarge, Q = 16.9731 air The energy, U = 2546 Units NC x Units nJ K X d

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: What should be the radius (measured in meters) of a charged-sphere capacitor so it acts as if it is…

A: Given : do=7m, di=2m, L=16m The capacitance of the cylindrical capacitor is given by :…

Q: A capacitor with capacitance Co =9 µF is connected to a battery of voltage Vo= 4 V and charged. Then…

Q: For the given configuration of capacitors (see the Figure 3 below), where the voltage of the battery…

A: WE KNOW THAT CAPACITOR IN SERIES COMBINATION 1/ C = 1/ C 1+ 1/ C 2+ 1/ C3 +1/ C4 CAPACITOR IN…

Q: A certain substance has a dielectric constant of 2.9 and a dielectric strength of 14 MV/m. If it is…

A: Given that,Dielectric constant 2.9Dielectric strength 14 mv/mCapacitance (c)=7.4*10-2 μFpotential…

Q: Imagine the following combination of identical 100 μF capacitors: Two capacitors connected in…

Q: Find the equivalent capacitance between points A and B of the infinite chain of capacitors below.…

Q: A parallel plate capacitor has 200 interleaved plates each 75mm by 75mm separated by mica sheets 8mm…

A: The formula for the capacitance of a capacitor formed by a pair of interleaved plate and mica is:

Q: A 5.8 µF parallel plate capacitor has a plane separation of 5 mm and it is charged by a battery…

Q: An air-filled parallel-plate capacitor has plates of area 2.20 cm2 separated by 1.70 mm. The…

Q: Suppose an empty capacitor with the distance between plates of the capacitor is 2.0 mm and the area…

Q: (Figure 1) shows a system of four capacitors, where the potential difference across ab is 45.0 V.…

Q: The radius of the outer sphere of a spherical capacitor os five times the radius of its inner shell…

A: Given data: Capacitance of capacitor is, C=5.00 pF=5.00×10-12 F. Radius of outer sphere of spherical…

Q: An air filled capacitor has a capacitance of 9.4 nF. If the air in the capacitor is replaced with a…

A: Solution:-

Q: Calculate the side length of a parallel plate capacitor with an air gap of 5.2 mm if its capacitance…

Q: Consider an isolated charged parallel plate capacitor with charge stored Q, plate surface area axb,…

Q: Two capacitors, C1 = 12 uF and C2 = 24 uF are connected in parallel and charged with a 22 V power…

A: Given, Capacitance of two capacitor, C1=12 μFC2=24 μF both capacitor are connected in parallel,…

Q: Consider a spherical capacitor with two layers of dielectric materials. The inner conductor radius…

A: Please refer below pages.Explanation:Step 1: Step 2: Step 3:

Q: Dry air is a pretty decent insulator; it has a very high resistivity of 3 × 101³ 2 · m . Consider a…

A: Given Resistivity of air, ρ=3*1013 Ω.mLength of square plate = 15 cm = 15*10-2mTherefore area os…

Q: A parallel-plate capacitor was measured to have a capacitance of C0. What would be the new…

A: For a parallel plate capacitor capacitance C = ε0A/d where ε0 is the permittivity of free space A…

Q: A cylindrical capacitor filled with mica (sr = 6) is 10 mm long. If the outer radius of the…

Q: For the arrangement of capacitors in problem 10, find the equivalent capacitance in μF (microfarads)…

Q: A capacitor with plate area 0.0440 m2 and plate separation 85.0 μm is to be charged to 14.0 V and…

Q: A parallel plate capacitor is to be designed with a voltage rating 1 kV, using a material of…

A: Given ,voltage rating for designing parallel plate capacitor is V=1 kV=1000 V, dielectric constant…

Q: Compute the electrostatic energy of a parallel plate capacitor. The plates have area A, are…

Q: Consider an air-filled parallel plate capac- itor with plate area A and gap width d and plate charge…

A: This question is regarding the energy stored in capacitors. The energy stored in capacitor is given…

Q: (a) The space between two parallel plate capacitor is filled with two dielectric materials of same…

A: Here, The capacitance is C=kε0Ad

Q: Find the capacitance of the capacitor.

Q: An air-filled parallel-plate capacitor C, has a plate area A-0.085 m, and a plate separation d=2.0…

Q: Consider a parallel plate capacitor having plates of area 1.35 cm2 that are separated by 0.014 mm of…

A: The objective of the question is to calculate the capacitance of a parallel plate capacitor with…

Q: An air-filled capacitor is made from two flat parallel plates 1 mm apart. The inside area of each…

Q: A certain substance has a dielectric constant of 2.80 and a dielectric strength of 18.2 MV/m. If it…

A: Given data, Dielectric constant = 2.80. Dielectric strength = 18.2 MV/m. Capacitance C=68.4 nF.…

Q: Consider a parallel plate capacitor with the plate surface area axb and distance between the plates…

A: Give information: The voltage applied across the capacitor (V) = 24 V The plate surface area of the…

Q: The plates of a spherical capacitor have radii 55.4 mm and 56.7 mm. (a) Calculate the capacitance.…

A: A spherical capacitor is formed when a sphere either hollow or solid , with radius (r1) is covered…

Q: A capacitor has capacitance of 0.018 F when wax paper 4.1 is use as the dielectric material. The wax…

A: Given: The capacitance of the capacitor is 0.018 F with a dielectric constant of 4.1 (wax). The…

Q: Consider a capacitor with parallel plates, the area of the plates is 16.8 cm2 and they are separated…

Q: a parallel plate capacitor has a square plate of side 10.0 cm and separated by a distance of 5 mm.…

A: Given: In a parallel plate: Square plate length, L=10 cm=10×10-2 =0.1 m Plate separation, d=5…

Q: Consider an isolated charged parallel plate capacitor with charge stored Q, plate surface area axb,…

Q: A parallel plate capacitor of 3.5 Farad has a circular plate of 4.2 mm radius. If the plate's size…

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

Consider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A
nonconducting slab of a similar size x-bxd with dielectric constant k is completely inserted into the
capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 30-
V is attached accros the capacitor. Take k = 7.5, a = 11 cm, b = 36 cm, d = 0.3 cm, and x = 6.5 cm.
a
Ī
air
The capacitance, C = 565.7706✔ Units pF
The echarge, Q = 16.9731 Units nC
The energy, U = 2546
x Units nJ
K
X
d

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: Given data

VIEW

Step 2: Calculations

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

In Figure 2, two parallel-plates capocitors (A and B) are connected in parallel across a 240 V battery. Each plate has an area of 30 cm² and plates separation of 3.0 mm. Capacitor A is filled with air and capacitor B is filked with a dielectric of constant x =2.3. (a) Explain a significance of having a dielectrie betwoen plates of capacitor B. (b) Find the magnitude of electrie field within capacitors A and B (e) Find the potential energy stored in each capacitor. (d) Find the charge stored in cach capacitor. Filters Add a caption. > Status (Custom)
Capacitor A is a standard parallel-plate capacitor with no dielectric. It was charged up (though is currently not attached to anything) and currently has charge of Qo, a voltage of Vo, a capacitance of Co, and a potential energy of PE,. A dielectric with K = 41 is to be inserted into capacitor A. Determine what the capacitance, charge, voltage, & potential energy of capacitor A will be once the dielectric is fully inserted. C = C,x 41 Q = Q,x 1 V = V,x PE = PE,X
A certain substance has a dielectric constant of 2.4 and a dielectric strength of 17 MV/m. If it is used as the dielectric material in a parallel-plate capacitor, what minimum area should the plates of the capacitor have to obtain a capacitance of 9.3 × 10-2 µ F and to ensure that the capacitor will be able to withstand a potential difference of 4.0 kV?
(a) What is the capacitance of a parallel plate capacitor with metal plates each of area 2.00 m2 separated by 1.21 mm? (b) What is the charge stored in this capacitor if a voltage of 4x104v is applied to it?
(a) What is the capacitance (in μF) of a parallel plate capacitor having plates of area 1.60 m² that are separated by 0.0210 mm of silicon oil? X HF (b) What charge (in μC) does it hold when 9.00 V is applied to it? UC
A capacitor is constructed out of two circular plates, each of radius 6 cm. The plates are separated by 6.6 mm. The space between the plates is filled with a dielectric of relative permittivity 1.3. Calculate the capacitance, neglecting edge effects, in units of 10-12 F (that is, picofarads). Use that the permittivity of free space is 8.85 x 10-12 F/m. (Please answer to the fourth decimal place - i.e 14.3225)
Figure shows a parallel plate capacitor of plate area A and plate separation d. The gap between plates is filled with materials of dielectric constants K1 = 2, K2 = 1, K3 = 3 and K4 = 6 with area and separations shown on the figure. a) Find the capacitance in terms of C if C =- b) For A = 8cm² and d = 8mm and potential difference V = 100 V applied the plates, find charge on the capacitor plates. c) Find energy stored between the plates. A E0A d K2 d/4 d/2 K4 K1 d/2 d/2 A/4 A/4 K2 |d/4 A/2 A/2
A capacitor with plate area 0.0440 m2 and plate separation 85.0 µm is to be charged to 14.0 V and store 7.75 μ of energy. What should be the dielectric constant of the material between the plates?
In the diagram, an isolated charged parallel-plate capacitor holding charge Q isarranged horizontally, with one plate flush with a frictionless surface. The capacitor hascapacitance Co when there is no dielectric inserted. The dielectric block (mass m, dielectricconstant k) inside the capacitor is attached to a hanging block (mass M) by a massless stringrouted over a frictionless pulley. The length of the capacitor plates and dielectric block is Lalong the direction of motion. Assume there is no friction between the dielectric and thecapacitor plates.a. The blocks are initially at rest and the dielectric is initially completely inside thecapacitor. Use conservation of mechanical energy to determine the speed v of thefalling block at the moment the dielectric block completely exits the capacitor plates(in other words, determine a formula for the speed in terms of the variousparameters that have been defined as algebraic variables).b. Use your result from part a to find the minimum mass…
Express Answers in Scientific Notation
Calculate the side length of a square plate of parallel plate capacitor with an air gap of 9.3 mm if its capacitance is measured to be 17.7 pF. Give your answer in SI units.
A spherical conductor of radius a and charge Q is concentric with spherical shell of negligible thickness, radius b > a, and charge -Q (as shown in the figure). Show that the capacitance of this cylindrical capacitor is C = 4πɛ0 ab/b-a