A spherical capacitor of inner radius 1.00 mmand outer radius 2.00 mm has the electric energydensity of 2.00 x 1012 €o at r = 1.50 mm. What is themagnitude of the electric field at region r?A. 2.00 × 10° V /mB. 4.00 × 10° V/mC. 2.00 × 1012 V/mD. 4.00 × 1012 V/m

Answered: Image /qna-images/answer/a4534833-6d8b-42e9-aeb6-3f734acccc77.jpg

Answered: A spherical capacitor of inner radius…

A spherical capacitor of inner radius 1.00 mm and outer radius 2.00 mm has the electric energy density of 2.00 × 1012 €0 at r = 1.50 mm. What is the magnitude of the electric field at region r?

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: A charge of 60 pC is distributed on an isolated spherical conductor that has a 4.0 cm radius. Point…

A: Given that, Charge q= 60 pC Radius r= 4.0 cm Distance point A from the center of the conductor…

Q: e•25 In Fig. 25-40, two parallel-plate ca- pacitors (with air between the plates) are connected to a…

Q: A parallel-plate capacitor is formed from two 4.4-cm-diameter electrodes spaced 3.0 mm apart. The…

Q: An air filled capacitor is connected to a 3.0V battery. Each plate of the capacitor has area of…

A: Voltage between plates (V) = 3.0 VArea (A) = 0.7 m2Seperation (d) = 1.5 mm = 1.5×10-3 mRequired:The…

Q: A parallel-plate capacitor is formed from two 6.0cm diameter electrodes spaced2.0mm apart. The…

Q: Two identical closely spaced circular disks form a parallel-plate capacitor. Transferring 2.0×109…

Q: 6. A spherical capacitor is composed of a solid conducting sphere concentric with a larger spherical…

A: From Gauss's law1. For region R<r<2RElectric flux ϕ = ∫E.ds = Qεbut ε = K1ε0so electric flux…

Q: A parallel plate capacitor has a plate area of 21.4 x 10-4 m2 and a plate separation distance of 27…

Q: Two circular disks spaced 5.42 mm apart form a parallel-plate capacitor. Transferring 6.80 *109…

A: Given: The separation between disks is 5.42 mm. The number of electrons is 6.8x109. The strength of…

Q: If a combination of two concentric spheres are used to make up a 100nF capacitor with outer radius…

A: The capacitance of a spherical capacitor can be represented as, Here, a, b, and ε0 represent the…

Q: A capacitor consists of two large flat parallel plates. One plate has surface charge density 4.96…

A: Given data:- Surface charge density sigma = 4.96 nC/m2 or sigma = 4.96×10-9 C/m2…

Q: A cylindrical capacitor (C1) of inner radius (a) and outer radius (b=10 a ) is filled with a…

A: Inner radius of cylindrical capacitor is, a and the outer radius of the cylindrical capacitor is b…

Q: A parallel-plate capacitor is formed from two 2.8 cm-diameter electrodes spaced 2.6 mm apart. The…

Q: The separation distance between the two plates of a parallel plate capacitor is 2.72 cm. An electron…

Q: A spherical capacitor with charge, Q = 6.04 μC, has inner radius, 32.8 cm, and outer radius, 46.7…

A: Given that:

Q: A parallel-plate capacitor is formed from two 2.0 cmcm ××2.0 cmcm electrodes spaced 2.6 mmmm apart.…

Q: A capacitor is created by two metal plates. Each plate has dimensions L = 0.39 m and W = 0.38 m. The…

A: The objective of the question is to find the expressions for the magnitude of the electric field…

Q: he plates of a parallel-plate capacitor are 3.50 mmmm apart, and each carries a charge of magnitude…

A: Given, Separation between the plates, d = 3.50 mm magnitude of the charge, q = 75.0 nC electric…

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

Q: Two identical closely spaced circular disks form a parallelplate capacitor. Transferring 1.5 × 109…

Q: In the early 1900s, Robert Millikan used small charged droplets of oil, suspended in an electric…

Q: A uniform electric field with a magnitude of 3790N/C3790N/C fills a cylindrical region of space with…

A: Given: Electric field magnitude E=3790 N/C, Volume of cylindrical region is Volume=7980…

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

A: This problem is nothing but the evaluation of integrals.

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

A: This problem is nothing but the evaluation of integrals.

Q: An isolated charged conducting sphere of radius 14.0 cm creates an electric field of 4.90 ✕ 104 N/C…

A: a)The given point is a point outside the sphere, since the distance is greater than the radius of…

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 capacitor is formed from two concentric spherical conducting shells separated by vacuum.…

A: Given Data, Radius of inner shellr1=12.1 cm Radius of outer shellr2=14.8 cm Potential difference…

Q: A uniform electric field of E0 is established in an air filled capacitor with plate area A and plate…

Q: A parallel plate capacitor consists of two rectangular, horizontally oriented plates, each with an…

Q: A parallel-plate capacitor is formed from two 4.0 cm × 4.0 cm electrodesspaced 2.0 mm apart. The…

Q: An air-filled spherical capacitor is constructed with inner and outer shell radii of 15.00 and 30.00…

Q: Problem 1: Consider a parallel-plate capacitor made up of two conducting plates with dimensions 39…

Q: The drawing shows an electron entering the lower left side of a parallel plate capacitor and exiting…

Q: Two circular disks spaced 0.50 mmmm apart form a parallel-plate capacitor. Transferring…

Q: A capacitor consists of two large flat parallel plates. One plate has surface charge density 4.96…

A: Given: Parallel plate capacitor, Surface charge density of a plate, σ=4.96 nC/m2 Space between the…

Q: parallel-plate capacitor is formed from two 1.99 x 1.99 cm electrodes spaced 2.07 mm apart. The…

A: Given: The size of the plate is 1.99x1.99 cm2. The separation between plates is 2.07 mm. The…

Q: A spherical capacitor consists of two concentric spherical conducting thin shells. The inner shell…

Q: Suppose the field in the interface region of a photovoltaic panel is 1.1 × 106 N/C. Modeling the…

A: The charge densities on either side of the contact must be determined. We are aware that a solar…

Q: A capacitor consists of two large flat parallel plates. One plate has surface charge density 4.96…

Q: A parallel-plate capacitor is formed from two 9.0 cm × 9.0 cm electrodes spaced 3.0 mm apart. The…

Q: A parallel plate capacitor consists of two rectangular, horizontally oriented plates, each with an…

Q: A parallel plate capacitor has charge q and plate area A. A dielectric materia of dielectric…

Q: two parallel-plate capacitors (with air between the plates) are connected to a battery. Capacitor 1…

Q: Consider a spherical capacitor of inner radius a and outer radius b. One half of the capaci- tor is…

Q: D.0µC is placed on a spheric- ctrical potential at points 5.0c- electric field and potential as

Q: A parallel-plate capacitor is formed from two 1.2 cm-diameter electrodes spaced 2.0 mm apart. The…

Q: charge of 20 pC is distributed on an isolated spherical conductor that has a 4.0 cm radius. Point A…

A: Given that------ charge Q = 20 pC. Radius r = 4 cm. Distance from point A r1 = 1 cm. Distance…

Q: A parallel-plate capacitor has capacitance C0 = 8.00 pF when there is air between the plates. The…

A: We want to find the maximum charge () that can be placed on each plate. The charge can be calculated…

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

A spherical capacitor of inner radius 1.00 mm
and outer radius 2.00 mm has the electric energy
density of 2.00 x 1012 €o at r = 1.50 mm. What is the
magnitude of the electric field at region r?
A. 2.00 × 10° V /m
B. 4.00 × 10° V/m
C. 2.00 × 1012 V/m
D. 4.00 × 1012 V/m

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 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 charged, square plates, separated by a distance of 13.1 cm and each with a side length of 20.3 cm, make up a parallel-plate capacitor. The electric field inside the plates is 1.40×103 N/C. If the charge is doubled, what would the electric field inside the plates become? 1.40E+03 N/C 700. N/C 2.80E+03 N/C 350. N/C
A spherical capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has a radius of ra= 12.1 cm , and the outer sphere has a radius of rb= 14.8 cm . A potential difference of 120 V is applied to the capacitor. What is the magnitude E1 of the electric field E⃗ → at radius r=12.8 cm, just outside the inner sphere?
A parallel plate capacitor has circular cross-section with a radius of R and has a charge that varies as Q(t) = Q0 e-at, where Q0 and a are constants. Take the spacing between the plates to be small so that you can assume the electric field is uniform for r < R and vanishes for r > R. a) What is the magnitude of electric field inside the capacitor as a function of time? (Hint: first find the surface charge density and then the electric field from that)
In the early 1900s, Robert Millikan used small charged droplets of oil, suspended in an electric field, to make the first quantitative measurements of the electron’s charge. A 0.70-μm-diameter droplet of oil, having a charge of +e, is suspended in midair between two horizontal plates of a parallel-plate capacitor. The upward electric force on the droplet is exactly balanced by the downward force of gravity. The oil has a density of 860 kg/m3, and the capacitor plates are 5.0 mm apart. What must the potential difference between the plates be to hold the droplet in equilibrium?
The separation distance between the two plates of a parallel plate capacitor is 2.47 cm. An electron is at rest near the negative plate. When it is released, it accelerates and reaches the positive plate with a kinetic energy of 6.30 10-15 J.What is the magnitude of the electric field in the region between the plates of the capacitor?
A cylindrical capacitor consists of a solid inner conducting core with radius 0.270 cm, surrounded by an outer hollow conducting tube. The two conductors are separated by air, and the length of the cylinder is 13.0 cm. The capacitance is 39.0 pF. Part A: Calculate the inner radius of the hollow tube. r=__cm Part B: When the capacitor is charged to 135 V, what is the charge per unit length λ on the capacitor? λ=__C/m
A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of λ = 30 μC/m. The outer cylinder has radius R2 = 25 cm and carries an equal but opposite charge distribution as the inner cylinder. a. Write an equation for the energy density due to the electric field between the cylinders in terms of λ, r, and e0. u = b. Calculate the energy stored in the capacitor per unit length, in units of J/m. U/l = c. Consider a thin cylindrical shell of thickness dr and radius R1 < r < R2 that is concentric with the cylindrical capacitor. Write an equation for the total energy per unit length contained in the shell in terms of λ, r, dr, and ε0. dU/l = d. Calculate the energy stored per unit length in the capacitor in units of joules per meter. U/l =
Question 6: The plane y = 0 distinguishes two lossless dielectric zones with dielectric constants ɛr1 = 2 and ɛr2 = 3. 1. If the region is known as E ****1 = x2 - ŷ3 + bilin5, calculate the electric field and displacement vectors E****2 and D****2 in region 2. (There is no load density on the interface.
A parallel-plate capacitor is formed from two 5.8 cm -diameter electrodes spaced 1.9 mm apart. The electric field strength inside the capacitor is 1.0 ×106N/C. What is the charge (in nC) on each electrode?
The electric field strength is 1.90×104 N/C inside a parallel-plate capacitor with a 0.600 mm spacing. An electron is released from rest at the negative plate. What is the electron's speed when it reaches the positive plate?
A parallel plate capacitor consists of two rectangular, horizontally oriented plates, each with an area of 4.00 cm2, and separated by a distance of 0.300 mm. If the magnitude of the charge on each capacitor is 5.00 nC, what is the magnitude of the electric field between both plates?
A charge of 60 pC is distributed on an isolated spherical conductor that has a 4.0 cm radius. Point A is 1.0 cm from the center of the conductor and point B is 6 cm from the center of the conductor. Determine the electric potential difference VA-VB.