A solid sphere of radius 40.0 cm has a total positive charge of 28.2 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances. (a) o cm from the center of the spherekN/C(b) 10.0 cm from the center of the sphereKN/C(c) 40.0 cm from the center of the sphereKN/C(d) 68.5 cm from the center of the spherekN/C

Answered: Image /qna-images/answer/929ddcd5-56e5-4bef-92c2-5c38008af723.jpg

Answered: A solid sphere of radius 40.0 cm has a…

A solid sphere of radius 40.0 cm has a total positive charge of 28.2 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 56P: The distance from the Sun to the nearest star is about 4 1016 m. The Milky Way galaxy (Fig. P1.56)...

See similar textbooks

Related questions

Q: A uniform charge density of 500.0 nC/m3 is distributed throughout a spherical volume (radius = 18.0…

Q: Consider a thin, spherical shell of radius 13.0 cm with a total charge of 30.6 µC distributed…

Q: 4. A conducting solid sphere of radius 6.0 cm is placed in a space with no external electric field.…

A: SOlution: Given that r = 6 cm = 0.06 m q = +2.1x10-6 C

Q: Using Gauss's Law, find the electric field for a hollow sphere of inside radius 'a' and outside…

A: Hi, your question has multiple sub-parts so we will solve first three sub-parts for you. For…

Q: A solid non-conducting sphere has a radius of 3.4 m. The charge on the sphere is uniformly…

Q: A flat square with sides 18 cm is placed in a uniform electric field of magnitude 5784 N/C. What is…

Q: point charge q is at the center of a spherical shell of radius 15.0 cm carrying charge Q distributed…

A: Electric field though any Gaussian surface only depends on charge enclosed in it

Q: A solid metal sphere of radius 0.600m carries a net charge of 0.150 nC. Find the magnitude of the…

A: Ans:- Image-1

Q: A solid, insulating sphere of radius a = 2 cm has been charged uniformly by a density ρ = 100 µC/m3…

A: The formula can be derived by using Gauss's Law ∮E→.dS→ = qenclosed ∈0....................(1)…

Q: f a solid conducting sphere of radius 50.0 cm carries a total charge of 150 nC uniformly distributed…

A: Given: radius R=50cm = 0.5 m total charge Q=150 nC =150 *10-9 C

Q: very long conducting cylindrical rod of length L with a total charge +2Q is surrounded by a…

A: Given Charge on outer shell is -2Q Charge on inner shell is +2Q Gauss law is E.dA = Q/€0

Q: An infinitely plate has a surface charge density of 90.12 pC/m2. What is the magnitude of the…

A: Write the given data. σ=90.12 pC/m2d=8.4 m

Q: uniformly charged ring of radius 10.0 cm has a total charge of 85.0 ?C. Find the electric field on…

Q: Problem 3. Charge Metal Rod. An isolated very long metallic rod with a uniform circular cross…

A: Given, Radius of metallic rod, R = 0.55 mm charge per unit length, λ = 2.25×10-8 Cm

Q: a) The electric flux is proportional to the number of electric field lines that penetrate a surface.…

Q: A solid sphere of radius 40.0 cm has a total positive charge of 34.5 µC uniformly distributed…

Q: Inside a spherical surface is a 10.6 x10-6C and a -4.4 x10-6 C charge. What is the total electric…

A: q1 = 10.6×10-6 Cq2 = -4.4×10-6 Cε0 = 8.85×10-12 Nm2/C2 Flux is given by ϕ = qε0

Q: A disk of radius r= 70 cm has a uniform surface charge density o = 98.9 nC. Calculate the electric…

A: The electric field at a distance x from the center of a uniformly charged disc of radius R is given…

Q: A positive charge is placed at the origin. Three concentric spheres of different radii are centered…

Q: A solid sphere of radius 40.0cm has a total positive charge of 26.0μC uniformly distributed…

A: Given : Radius of a solid sphere (R) = 40.0 cm = 0.40 m Total charge (Q) = 26.0 μC = 26.0 × 10-6 C

Q: A uniformly charged disk with radius R = 25.0 cm and uniform charge density ? = 8.60 ✕ 10−3 C/m2…

Q: QUESTION A solid sphere of radius 400.0 cm has a total positive charge of 260?? uniformly…

Q: A solid conducting sphere of radius 2.00 cm has a charge of 8.75 µC. A conducting spherical shell of…

A: Radius of the solid sphere, r1 = 2.00 cm. Inner radius of the spherical shell, r2 = 4.00 cm. Outer…

Q: A spherical conductor has a radius of 8 mm and a charge of 20μC. Calculate the electric field at r =…

A: Electric field inside a spherical conductor is zero. So at r= 6mm is inside the conductor is zero.

Q: Consider a thin, spherical shell of radius 12.5 cm with a total charge of 34.9 µC distributed…

A: (a) The radius of the shell is 12.5 cm. Therefore, the point 10.0 cm from the center of the sphere…

Q: sphere radius of 13.85 cm creates an electric field of strength of 9.75 N/C at a distance of 21.6 cm…

Q: A large, flat, horizontal sheet of charge has a charge per unit area of 5.30 µC/m2. Find the…

Q: 72>)If a solid conducting sphere of radius 0.5 m carries a total charge of 225 nC uniformly…

A: Last option is correct.

Q: A sphere of radius R| = 0.280 m and uniform charge density -16.5 µC/m³ lies at the center of a…

Q: solid metal sphere of radius 4.00 m carries a total charge of -5.10 μC . Part A What is the…

A: In both part elctric field at given point inside the electric field will be zero.

Q: a distance of 0.20 from the center of a conducting sphere with a charge and radius 0.10 cm. the…

Q: A solid non-conducting sphere has a radius of 3.2 m. The charge on the sphere is uniformly…

Q: A cylindrical metal has a height of 0.27 m and a radius of 0.11 m. The electric field is directed…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A flat surface of area 8 m^2 is rotated in a uniform electric field of magnitude E=3.20 x10^5 N/C.…

A: Given that a flat surface area A =8 m2 the magnitude of uniform electric field (E) =3.20 x105 N/C we…

Q: A solid nonconducting cylindrical bar of radius a = 49cm and length L = 79cm contains a total charge…

Q: A flat surface of area 3.80 m2 is rotated in a uniform electric field of magnitude E = 6.80 x 10…

A: Given data : Area = 3.80 m2 Electric field = 6.80×105N/C

Q: Consider a thin, spherical shell of radius 16.0 cm with a total charge of 29.8 µC distributed…

Q: A flat surface of area 8 m^2 is rotated in a uniform electric field of magnitude E=320 N/C. The…

Q: The total electric flux through a closed spherical (diameter = 0.20 m) surface is equal to 5.0 N m2…

A: diameter = 0.20 m ϕ=5 Nm2/C

Q: A solid conducting sphere of radius 5.00 cm has a charge of 10.00 µC. A conducting spherical shell…

Q: Positive charge Q = 7.8 n C is spread uniformly along a thin insulating rod of length L = 14.5 cm.…

Q: Consider a thin, spherical shell of radius 14.5 cm with a total charge of 29.9 µC distributed…

A: a. According to the Gauss’s law, the electric flux is

Q: A solid, insulating sphere of radius a = 2 cm has been charged uniformly by a density ρ = 300 µC/m3.…

A: Given- A solid, insulating sphere of radius a = 2 cm= 0.02 m Uniformly by a density ρ = 300…

Q: If a solid conducting sphere of radius 0.5 m carries a total charge of 225 nC uniformly distributed…

A: The given values are, R=0.5 mq=225 nC=225×10-9 Cr=0.25 m

Q: A solid insulating sphere of radius 0.10m carries a total charge of (negative) -10 micro C.…

A: According to the Bartleby guideline, only three questions can be solved at one time, post the…

Q: A solid metal sphere of radius 2.50 mm carries a total charge of -2.00 μCμC . 1) What is the…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A uniformly charged solid disk of radius R = 0.35 m carries a uniform charge density of σ = 75…

A: (a) The radius of the uniformly charged disk is R = 0.35 m. The uniform charge density is σ = 75…

Q: A solid ball of radius rb has a uniform charge density ρ. What is the magnitude of the electric…

A: (a) Calculating the magnitude of the electric field E(r)E( at a distance r>rb from the center of…

Q: Directions: Choose the letter of the correct answer. 1. A proton is enclosed by a closed Gaussian…

A: (1) Introduction: Gauss's law states that the electric flux is directly proportional to the charge…

Q: A uniformly charged disk of radius 35.0 cm carries charge with a density of 7.90 & 10" 3 C/m2.…

A: The electric field at any point at a distance x from the axis of the disc is given as,…

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

100%

A solid sphere of radius 40.0 cm has a total positive charge of 28.2 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances.

(a) o cm from the center of the sphere
kN/C
(b) 10.0 cm from the center of the sphere
KN/C
(c) 40.0 cm from the center of the sphere
KN/C
(d) 68.5 cm from the center of the sphere
kN/C

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

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

Show that the velocity of a star orbiting its galaxy in a circular oibit is inversely proportional to the square root of its orbital radius, assuming the mass of the stars inside its orbit acts like a single mass at the center of the galaxy. You may use an equation from a previous chapter to support your conclusion, but you must justify its use and define all terms used.
Ā = 3.0N,150%, what is the y component
Two students of opposite sex with masses 70.0kg and 52.0kg respectively are sitting 1.50m apart facing each other. When the student with a smaller mass looks up and sees the one with a big mass she feels an attraction. If the attraction is gravitational, determine its magnitude.
Suppose that, while lying on a beach near the equator watching the Sun set over a calm ocean, you start a stopwatch just as the top of the Sun disappears. You then stand, elevating your eyes by a height H = 1.70 m, and stop the watch when the top of the Sun again disappears. If the elapsed time is t = 11.1 s, what is the radius r of Earth?
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 5.1✕ 107 y instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. solar masses
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0 ✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 6.9 ✕ 107 y instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. solar masses
I am pretty sure that this can be solved by adding 57 to mg cos(theta) but when I enter -59.196 into the problem it says that it is incorrect.
A light-year is the distance light travels in one year at speed =2.998*10^8m/s a) How many inches are there in 1.00 light-year? (b) The parsec is an astronomical unit of length approximately equal to 3.08×1016 m. How many light-years are there in 1.00 parsec?
Moon is at the distance 384400 km from Earth and orbits the Earth every ∼28 days. Ifthe radius of the Moon is 1737 km (consider it to be spherical), what is the area of themoon as measured by the observer on Earth? (Hint: Length contraction)
In figure, the magnitude of Fy is equalify fy=0.
From x to y=4.4 cmFrom x to p=12 cmFrom x to j =8.3 cm J to muscle force = 7.5cm
The nearest neutron star (a collated star made primarily of neutrons) is about 3.00 1018 m away from Earth. Given that the Milky Way galaxy (Fig. P1.81) is roughly a disk of diameter 1021 m and thickness 1019 m, estimate the number of neutron stars in the Milky Way to the nearest order of magnitude. Figure P1.81