Consider an isolated charged parallel plate capacitor with charge stored Q, plate surface area axb, and distance between the plates d. A nonconducting slab of a similar size axbxd with dielectric constant & is inserted a distance à into the capacitor as shown below. Find the capacitance and energy of the system as a function of x. Assume Q= 30 μC, ε= 7.5, a= 23 cm, b= 13 cm, and d= 0.3 cm. Use pF, Joules and meters for the units, but do not put them explicitly. d "1 The capacitance, C(x) = "// 11 a 11 11 Units Select an answer Units Select an answer The energy, U(x) = With what force is the slab pulled into the capacitor? The force, F(x) = "1 Units Select an answer

Consider an isolated charged parallel plate capacitor with charge stored Q, plate surface area axb, and distance between the plates d. A nonconducting slab of a similar size axbxd with dielectric constant & is inserted a distance à into the capacitor as shown below. Find the capacitance and energy of the system as a function of x. Assume Q= 30 μC, ε= 7.5, a= 23 cm, b= 13 cm, and d= 0.3 cm. Use pF, Joules and meters for the units, but do not put them explicitly. d "1 The capacitance, C(x) = "// 11 a 11 11 Units Select an answer Units Select an answer The energy, U(x) = With what force is the slab pulled into the capacitor? The force, F(x) = "1 Units Select an answer

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: certain substance has a dielectric constant of 2.8 and a dielectric strength of 18.0 MV/m. If it is…

Q: Derive the capacitance of a spherical capacitor with inner sphere of radius a and outer sphere of…

A: We are given 2 concentric spheres. We are given radius of inner sphere and radius of outer sphere.…

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

Q: Find the equivalent capacitance in pF for the dielectric capacitor of problem 25.49 using values of…

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: 10 In Fig. 25-28, find the equiva- lent capacitance of the combination. Assume that C₁ is 10.0 µF,…

A: From figure 25-28 C1 & C2 are connected in series combination so resultant of series combination…

Q: Two capacitors C1 parallel. Find the equivalent capacitance of the setup. (7.10x10^-6) F and C2…

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

Q: Considering the figure below, and assuming that: C1 = 4 µF, C2 = 3 µF, C3 = 7 µF, C4 = 5 µF.…

A: The energy stored in a capacitor is given by U = 12CV2, where C= the capacitance of the capacitor…

Q: What is the capacitance of a parallel-plate capacitor in-branch segment AB has a plate area of 3.0…

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: Consider three parallel-plate capacitors, each consisting of two parallel circular disks of metal…

Q: Determine the value of the capacitance, in picofarads, of a parallel-plate capacitor using a…

A: The object must have an excess of either positive or negative charges to be called a charged object.…

Q: Consider a parallel-plate capacitor in vacuum. Its plates has an area A = 2.00x10-4m² and a plate…

A: area of plates(A)=2×10-4 m2 distance between plates(d)=1mm=1×10-3 formula capacitance of parallel…

Q: Find the equivalent capacitance in pF for the dielectric capacitor of problem 25.49 using values of…

Q: A certain substance has a dielectric constant of 2.8 and a dielectric strength of 18.0 MV/m. If it…

A: Write the given values with the suitable variables. k=2.8E=18 MV/m=18×106 V/mC=9×10-8 FV=4.8…

Q: A proton is released from rest at the positive plate of a parallel-plate capacitor. It crosses the…

A: the electric field between two plates of a parallele plate capacitor is uniform.and any particle…

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: There are two capacitors. If they are connected in parallel, the equivalent electricity capacity is…

Q: An L = 47.0 ncm wire is moving to the right at a speed of v = 6.50 m/s across two parallel wire…

A: Motional EMFWhen a conductor change position with a velocity v in a area of magnetic field B, then…

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

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 an isolated charged parallel plate capacitor with charge stored Q, plate surface area axb, and
distance between the plates d. A nonconducting slab of a similar size axbxd with dielectric constant & is
inserted a distance x into the capacitor as shown below. Find the capacitance and energy of the system as
a function of x. Assume Q= 30 µC, ɛ= 7.5, a= 23 cm, b= 13 cm, and d= 0.3 cm. Use pF, Joules and meters
for the units, but do not put them explicitly.
d
17
The capacitance, C(x) =
"1
11 11
E
a
11
Units Select an answer ✓
The energy, U(x) =
With what force is the slab pulled into the capacitor?
The force, F(x) =
Units Select an answer ✓
Units Select an answer ✓

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: Introduction to the question.

VIEW

Step 2: Solving part (a).

VIEW

Step 3: Solving part (b).

VIEW

Step 4: Solving part (c).

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 6 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

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 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 parallel-plate capacitor is constructed by filling the space between two square plates with a block of three dielectric materials, as shown in the figure below. You may assume that ℓ ≫ d. A parallel-plate capacitor is comprised of two square plates with sides of length ℓ and separation distance d. There are three dielectric materials in the space between the capacitor plates. A material with length ℓ⁄2, height d, and dielectric constant ?1 fills the left half of the space. A material with length ℓ⁄2, height d⁄2, and dielectric constant ?2 fills the top right quarter of the space. A material with length ℓ⁄2, height d⁄2, and dielectric constant ?3 fills the bottom right quarter of the space. (a) Find an expression for the capacitance of the device in terms of the plate area A and d, ?1, ?2, and ?3. (Use the following as necessary: ?1, ?2, ?3, ?0, A and d.)C = (b) Calculate the capacitance using the values A = 1.30 cm2, d = 2.00 mm, ?1 = 4.90, ?2 = 5.60, and ?3 = 2.50.
Let z 0 is region 2 with &r2 = 7.5. Given that E₁ = 60ax − 100a, + 40a, V/m, Calculate D₂. (Hint: Boundary conditions)
please answer v
The electric field between the inner and the outer surfaces of a cylindrical capacitor carrying charge Q is given by È - Eo, where E, is a constant, r is the cylindrical radial coordinate and f is the corre- sponding unit vector. The inner and the outer radii of the capacitor are a and b, respeetively. Find the capacitance of the cylindrical capacitor. Select one: Eo QIn(b/a) Eo In(b/a) In(b/a) Q In(b/a) Eo E, In(b/a)
Express Answers in Scientific Notation
The plates of paraillel-plate capacitor in vacuum are 5 mm apart and 2 m in area. A potential difference of 10 kV is applied across the capacitor. Find capacitance. Solve the total capacitance of three capacitors connected in series: 2.0pF, 1.0 pF,5.0 µF
A dielectric slab with thickness d is inserted halfway into the capacitor in the example (covering half the area). Given that d = 0.4 cm, A = 38 cm2, and ? = 4, find the equivalent capacitance in pF.
What is the capacitance of a parallel plate capacitor in vacuum? Sol. The basic definition for capacitance is: C = Since the electric potential can also be written as V = Ed Where, E is the electric field contribution of the parallel plate (tvwo plane charge): -ol €o Sigma is the surface charge density given by: By, substitution, we get the capacitance of the parallel plate to be: C= E0*
Consider a solid cylindrical conductor of inner conductor radius 59 cm and outer conductor radius 97 cm with charge Q that is coaxial with a cylindrical shell of negligible thickness. Find the capacitance, in nF, of this cylindrical capacitor if its length is 86 m and the insulator used is mica (εr = 6).