Let z < 0 be region 1 with dielectric constant &r1=4, while z> 0 is region 2 with &r2 = 7.5.Given that E₁ = 60ax − 100a, + 40a, V/m, Calculate D₂.(Hint: Boundary conditions)

Given:for z<0 , dielectric constant, εr1 = 4electric field, E→1 = 60a^x − 100a^y + 40 a^zfor…

Answered: Let z < 0 be region 1 with dielectric…

Let z < 0 be region 1 with dielectric constant &r1 = 4, while z > 0 is region 2 with &r2 = 7.5. 60a, 100a, + 40a, V/m, Calculate D₂. Given that E₁ (Hint: Boundary conditions) =

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: The capacity of a full cylindrical capacitor of length L with inner radius a and outer radius b, C…

A: Capacity of insulator with ε1 is greater

Q: The question is attached to the picture:

A: We will use the poison equation to solve this problem. The poison equation is given in the detailed…

Q: Q2:The region x 0 is characterized by&r2 = 3 let E₁ = 10 ax +20 ay +10az. Find E2,01,02 and P2. = 2

A: Suppose there's a sphere which has some dielectric value and outside the sphere, the dielectric is…

Q: The capacity of a full cylindrical capacitor of length L with inner radius a and outer radius b, C…

A: The space between the cylindrical shells is filled with different media and we need to compare the…

Q: Given a potential V = A In tan² (0/2) + B satisfied the Laplac's equation (b) determine A and B for…

Q: For the four capacitors shown in the diagram, C, = 2C, C2 = 3C, C3 = C, and C4 = 2C where C = 1.5…

Q: Find the equivalent capacitance in pF for the dielectric capacitor in problem 25.48 using values of…

Q: What is the absolute potential at each of the following distances of 2.0 μC: r = 10 cm and r = 50…

A: charge, q = 2.0× 10-6 C constant of proportionality, k = 9×109 N m2/C2

Q: potential energy of the spherical system!

A: Given Data : Charge density p(r) = p0r2 (in spherical polar Coordinates) To Find : potential…

Q: A capacitor with parallel plates, of area A and separation 2a, is connected to a potential…

A: For a parallel plate capacitor, the capacity is C =kε0Ad where A =area of the capacitor, d…

Q: The function φ(x, y, z) = xy + yz + xz is a potential for the vector field F = _____.

A: Given φ(x, y, z) = xy + yz + xz

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: A sphere of radius r has potential Vo sin 20 cos 2º on its surface. Find the scalar potential inside…

A: Let's write the general solution of the Laplace equation in spherical coordinates. The general…

Q: Find the capacitance of the system (interms of nF) consisting of two air-filled cylindrical plates…

A: we have, Two air-filled cylindrical plates of radius,r=2 m The plates are at points, z1=(-4,1) cm…

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

Q: Data Table. C C₁ = 25,6 mf C₂ = Series Connection 11.4mF C3 = 5,55 mf Ceg Qave V bat Ceq,measured…

A: We know that the charge of a capacitor with capacitance C connected with battery V is given by Q…

Q: An electric charge, +Q is placed on the surface of a solid, conduction sphere of radius a. The…

Q: Consider the potential distribution V = 5r² sin 0 sin ø. Find: Py everywhere i. ii. The energy…

A: (i). The relation between scaler potential and volume charge density is given by the poissions…

Q: Design a capacitor structure with a capacitance of 800 pF. What should be the insulator thickness if…

A: The capacitance of a parallel plate capacitor with plate area A, and dielectric material of…

Q: L Х-ахis, у-аxis

A: Part a: The charge density of the wire with total length equal to perimeter of the square p is given…

Q: The capacity of a full cylindrical capacitor of length L with inner radius a and outer radius b, C…

A: The capacity of a full cylindrical capacitor of length L with inner radius a and outer radius b, C =…

Q: For the potential xy2−3x, what is the corresponding electric field at the point (7,10)?

Q: A cylindrical capacitor consists of a solid inner conducting core with radius 0.250 cmcm, surrounded…

A: Given, Inner radius,Ra= 0.25 cm Length of the cylinder,L=10 cm Capicitance,C=38.5 pF= 38.5×10-12 C/V

Q: A spherical shell is of radius 5 cm and the potential at its surface is given by V (0) = 15 sin³ 0 –…

A: Given: The potential of a spherical shell is Vθ=15sin3θ-9sinθ. The distance and angle are 3 cm and…

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: In an integrated circuit, a capacitor is formed by growing silicon dioxide layer of thickness 1 [um]…

A: In the world of integrated circuits, capacitors are crucial electronic components used for a wide…

Q: The general solution for the potential (spherical coordinates with azimuthal symmetry) is: V (r, 0)…

Q: The plane interface between two dielectrics is given by y+z=1 for source-free medium. On the side…

Q: The capacitor of a defribrillator with 1 μF is charged to 9000 V. Calculate the stored charge.

A: The stored potential energy in capacitor is by the Q=CVU=QV2U=CV22 Energy stored in the capacitor…

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: Consider two dielectric regions separated by a boundary. The region 2 with z < 0 is characterized by…

A: The electric field at region-1 is given as, E→1=3a^x+6a^y+9a^z. The permittivity of region-1 with…

Q: Calculate the equivalent capacitance in picoFarads (10-12 F) of the below two-part capacitor if d =…

A: Given: d=2mm b=18mm x1=16mm x2=18mm εr=9

Q: Consider a thick insulating spherical shell of a uniform volume charge density with a total charge Q…

A: Given Data:Charge Inner radius Outer radius Distance To Determine:The electric potential at the…

Q: The charge density on a disk of radius R = 12.6 cm is given by d = ar, with a = 1.34 µC/m³ and r…

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

Q: Submit your answer to problem 25.4 part b in square centimeters using inner and outer radii of the…

Q: Find the electrical potential at point P. 2R R. 3R- The electric potential for a ring of radius a at…

Q: f the electric field in the region is given as E = 4 (z ax – y ay + x az) V/m. Determine the…

Q: A capacitance is made of two parallel conducting plates as shown in the figure and the distance…

A: The capacitance is given by: where d is the separation between the plates A is the area A=LWh…

Q: BL Using the general expression V(r,0) = E2o (4,r' +)P(cose) for the potential at a %3D distance r…

A: Potential inside and outside spherical shell

Q: The particle drift velocity b) The required collection-plate area and number of plates required.…

A: Particles with some charge when kept under the influence of an electric field will get attracted…

Q: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

A: Given: The charge on the inner cylinder is +Q. The radius of the inner cylinder is ra. The charge on…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

Let z < 0 be region 1 with dielectric constant &r1
=
4, while z> 0 is region 2 with &r2 = 7.5.
Given that E₁ = 60ax − 100a, + 40a, V/m, Calculate D₂.
(Hint: Boundary conditions)

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 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

The electric potential of a charged conducting sphere (as well as a spherical shell) can be calculated as Q R' V = k where is the charge and R is the radius of the sphere. Calculate the electric potential of a solid conducting sphere of a radius of R = 6 cm if the sphere loses 0.1% from the total number of its free electrons. The sphere is made of aluminum and has the density 2.7 g/cm³, molar mass 27 g/mol and one free electron per atom. Follow the steps listed below. 1. Find the number of free electrons per cm³ in aluminum. The number of free electrons per cm³, ne = Units Select an answer ✓ 2. Calculate the volume of the sphere and use it to find the total number of free electron inside the sphere. The number of free electrons, Ne = Units Select an answer 3. Calculate the charge of the sphere after it loses 0.1% of its electrons and use it to find the potential of the sphere. The electric potential of the sphere, V = Units Select an answer ✓
Question 3. Using the general expression V(r,0) = Eo (A,r +) P.(cos0) for the potential at a %3D distance r from the center of a sphere shell of radius R. The acceptable expressions for potentials inside and outside the shell are: V(r,e) E, A,r' P;(cos®) (rSR) and V (r,0) = Eo P.(cose) (r2 R) %3D A constant charge density oo is ghed over the surface of the shell Determine the potential inside and outside the shell for this charge distribution
A charged conducting spherical shell of radius R = 3 m with total charge q = 23 μC produces the electric field given by E⃗ (r)={014πϵ0qr2r̂ forforr<Rr>R(PICTURE ATTACHED OF EQUATION) a. Enter an expression for the electric potential inside the sphere ( r < R ) in terms of the given quantities, assuming the potential is zero at infinity. V(r)= b. Calculate the electric potential, in volts, at radius r inside the charged shell. V(r) =
Fig.2
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
Needs Complete typed solution with 100 % accuracy.
Express your answer to at least three decimal places.
1
: Suppose the electric potential at (x, y) is given by f(x, y) = 0.5 Ln(xpow2 + ypow2) estimate the error and percent relative error in f(x, y) given that x=1±0.2 and y=1±0.5
The capacity of a full cylindrical capacitor of length L with inner radius a and outer radius b, C = (2πϵrϵo)*L / (ln (b / a))is known to be. The capacitor is angularly composed of two insulating regions and these insulating regions are; With ø1 = 2.3 rad and a region with a relative dilutive constant εr1 = 5.6 Regions with relative dilutive constant ø2 = 3.9831 rad r2 = 3.2 The equivalent capacity of this capacitor is how many times the capacitor whose insulator is the space. (ø2 + ø2 = 2π) The gap dielectric constant εo = 8.842 pF / m and capacitor dimensions; L = 20 cm a = 1.5 cm b = 3.4 cm
Consider a cylindrical capacitor with two layers of dielectric materials. The inner conductor radius is a and the outer conductor radius is c. The inner dielectric material fills the thickness (b-a) and its permittivity is & and the outer dielectric material fills the thickness (c-b) and its permittivity is ε, as shown in the figure. Find the capacitance of the capacitor if its length is 1. Consider a spherical capacitor with two layers of dielectric materials. The inner conductor radius is a and the outer conductor radius is c. The inner dielectric material fills the thickness (b-a) and its permittivity is & and the outer dielectric material fills the thickness (c-b) and its permittivity is ६, Find the capacitance of the capacitor.
Consider a coaxial capacitor, radius a and b, and length L, as shown in the figure below.The capacitor it is partially filled with dielectric (ɛ, length D).The rest is air (ɛ0). Consider that (L, D >> (b-a)). The inner conductor (r = a) is held at constant potential V and the outer conductor (r = b) is grounded.I)Apply boundary conditions and determine the potential function in medium 1 (air) and medium 2 (dielectric): Φ1 (r) and Φ2 (r).II)Determine the total charge on the inner conductor: Q