A long cylindrical charge distribution of radius R = 6 cm, with a uniform charge density distribution p= 3 nC/m, the electric field (in N/C) at distancer 3 cm from the axis is:O 5.08O 8.47O 1.69O 3.39O 6.78

Answered: A long cylindrical charge distribution…

A long cylindrical charge distribution of radius R= 6 cm, with a uniform charge density distribution p = 3 nC/m3, the electric field (in N/C) at distancer=3 cm from the axis is:

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 63PQ

See similar textbooks

Related questions

Q: A point charge q (8.85 x 103 n) is located at the center of a uniform ring having linear charge…

A: Given that --- Charge q = 8.85*10-3 nC linear charge density (lemda) = 20 nC radius a = 0.1 m…

Q: Consider a long cylindrical charge distribution of radius R with a uniform charge density p. Find…

A: Consider a long, cylindrical charge distribution of radius R with a uniform charge density ρ.

Q: An electric field Ē = ax²î exists in a region. Total electric flux through a sphere of radius R…

Q: A cylindrical of radius R with the right side cut af an angle 30°as shown in the figure below is…

Q: An electric field Ẽ = Bzk exists in space. Total electric flux through a sphere of radius R centered…

Q: Inside a spherical surface is a 2.65 x10-6C and a -1.1 x10-6 C charge. What is the total electric…

A: According to the Gauss's theorem, the electric flux is given by ϕ =qenclosedεo

Q: Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a…

Q: Given the electric flux density D=pcos´oa,- Determine the total charge enclose by the cylinder whose…

Q: An electric field Ē = axî + By txzk exists, in space where.a, B.Y are constant. Electric flux…

Q: A long non-conducting cylindrical shell with inner radius a = 5.0 cm and outer radius b = 10.0 cm…

Q: The electric field in terms of spherical coordinates is defined as follows: E = kr'r Here, k is the…

A: The charge density is dependent on the divergence of the electric field and the equation can be…

Q: A solid nonconducting sphere of radius R 6.67cm has a non-uniform charge distribution of volume…

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

Q: with a volume charge density of 2.00 nC/m³. What is the magnitude of the electric field at the…

Q: A quarter-disc in the first quadrant has a surface charge density given by K cos φ C/m2 . If the…

A: Solution: Given that charge density p = K cos φ C/m2 radius = b field at point P(0,0, -h)

Q: The uniform surface charge density ps nC/m² is presented on the plane z = 15cm. Find the electric…

A: We know that the Electric field due to the surface charge 'es' will be equal to…

Q: If the electric flux density is given by D = x²a, + y²z a,y determine the m volume charge density at…

Q: A solid nonconducting sphere of radius R = 6.7 cm has a nonuniform charge distribution of volume…

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

Q: The total electric flux through a closed cylindrical (length = 1.2 m, diameter = 0.20 m) surface is…

A: Given Electric flux ∅=-5.0 Nm2/C Closed cyclinder length l=1.2 m diameter d=0.20 m

Q: A concentric hollow insulating spherical shell with inner radius rj=1R and outer radius r2=4.85R has…

Q: Using Gauss's Law, one can deduce the electric field at a point r outside a * surface-enclosed…

A: Required : The correct option.

Q: An electric flux of 144 N.m2/C passes through a flat horizontal surface that has an area of 0.72 m2.…

A: Electric flux through a surface (∅) = 144 N.m2 mCArea of surface (A) =0.72 m2Angle made by electric…

Q: Two concentric spherical shells with radius “R1” and “R2” , charge quantity “Q1” and “Q2”…

Q: A uniform volume charge distribution ρv=5 (nC/m3) exists in a sphere that has a radius of a=3 cm.…

Q: A uniform surface charge of density 8.0 nC/m2 is distributed over the entire xy plane. What is the…

Q: surface charge density o=24.25 nC/m². The sheet passes by the center of the sphere. Find the net…

A: The gauss law states that the net flux through a closed surface enclosing some volume is equal to…

Q: Two charged concentric spherical shells have radii r = 2 cm and 4 cm. The charge on the inner shell…

A: The inner radius of a shell is, rin=2 cm=0.02 m The outer radius of a shell is, rout=4 cm=0.04 m The…

Q: A very long solid cylinder of radius 10.0 cm has positive charge uniformly distributed throughout it…

A: An electric field is a fundamental natural phenomenon produced by charged atomic and subatomic…

Q: The total outward electric flux going from a cube with 0<x<l, 0<y<l, 0szsl metres containing a…

A: The electric flux through a surface = 1ε0 (net charge enclosed by the surface) In natural unit we…

Q: Using the method of integration, what is the electric field of a uniformly charged thin circular…

A: The electric field of a uniformly charge.

Q: A solid sphere of radius R carries a uniform volume charge density p . The magnitude of electric…

Q: A solid nonconducting sphere of radius R = 6.7 cm has a nonuniform charge distribution of volume…

Q: A concentric hollow insulating spherical shell with inner radius 1=1.74R and outer radius r2=3.69R…

Q: Consider the uniform electric field E → = (4.0 j ^ + 3.0k ^ ) × 103 N/C. What is its electric flux…

A: Given data The uniform electric field is: E = (4 j + 3 k) x 103 N/C The radius of the circular area…

Q: Consider a plane surface in a uniform electric field as shown in the figure, where d =20 cm and the…

A: The electric field is an area within which when a charged particle enters, a force gets exerted on…

Q: Consider a long, cylindrical charge distribution of radius R with a uniform charge density ρ. Find…

A: Given Data The radius of the cylinder is R. The uniform charge density is given as ρ. The…

Q: A concentric hollow insulating spherical shell with inner radius r1=1.6R and outer radius r2=4.7R…

A: Consider a Gaussian sphere of radius r = (r1 + r2)/2 = (1.6 R + 4.7R)/2 = 3.15R Total charge…

Q: Consider a long cylindrical charge distribution of radius R with a uniform charge density ρ.…

A: Given Data : The radius of the cylinder is given as R The charge density of the cylinder is given as…

Q: A circular surface with a radius of 0.062 m is exposed to a uniform electric field of magnitude 1.58…

A: Radius of circular surface (R) = 0.062 m Area of circular surface (A) = π(R)2 = π×(0.062)2 =…

Q: A uniform charge density of 500 nC/m3 is distributed throughout a spherical volume of radius 6.00…

Q: The electric field E is maximum at r equals:

A: Answer is 2R/3 .

Q: A charge distribution that is spherically symmetric but not uniform radially produces an electric…

Q: A spherical shell has a uniform volume charge density p = 2.0nC/m³, inner radius a = 9.0 cm, and…

A: Given: Volume charge density is, Inner radius a = 9.0 cm = 0.09 m. Outer radius is b = 2.4a.

Q: An infinitely long nonconducting cylinder of radius R carries a uniform volume charge density of…

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 long cylindrical charge distribution of radius R = 6 cm, with a uniform charge density distribution p
= 3 nC/m, the electric field (in N/C) at distancer 3 cm from the axis is:
O 5.08
O 8.47
O 1.69
O 3.39
O 6.78

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 1 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

The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?
What is the magnitude of the electric field just above the middle of a large, flat, horizontal sheet carrying a charge density of 98.0 nC/m2?
A spherical shell with uniform volume charge density ρ = 1.84 nC/m3, inner radius a =10.0 cm, and outer radius b = 2.00a (Figure 5). What is the magnitude of the electricfield at radial distancesi. r = 0 ii. r = a/2.00 iii. r = a iv. r = 1.50a v. r = b vi. r = 3.00b
The figure shows a spherical shell with uniform volume charge density ρ = 2.06 nC/m3, inner radius a = 8.90 cm, and outer radius b = 3.8a. What is the magnitude of the electric field at radial distances , (d) r = 1.50a, (e) r = b, and (f) r = 3.00b? please put the units
If a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributedthroughout its volume, what is its a) volume charge density? What is the magnitude of the electricfield at b) 10 cm and c) 65 cm from the center of the sphere.
An infinitely long solid insulating cylinder of radius R has a uniform volume charge density of 0.99μC/m3. If the magnitude of the electric field 0.302m from the axis of the cylinder is 3880N/C, what is R, the radius of the cylinder, in meters? Assume that R<0.302m, so the point of observation is exterior to the cylinder.
A hollow conducting sphere with inner radius R and outer radius 2R has a non-uniform volume charge distribution in the region R<r<2R given by ρ(r)=(4C/m⁵)r². If R=0.564m, what is the magnitude of the electric field (in N/C) at r=3/2R?
The figure shows a spherical shell with uniform volume charge density ρ = 2.06 nC/m3, inner radius a = 8.90 cm, and outer radius b = 3.8a. What is the magnitude of the electric field at radial distances (a) r = 0; (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = b, and (f) r = 3.00b?
A solid insulating sphere of radius 0.07 m carries a total charge of 25 uC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12 m and outer radius of 0.18 m, and carrying total charge of -54 uC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the follwing distances from the center of the two spheres and shell: (b) 0.05 m, (c) 0.10 m, (d) 0.15 m, and (e) 0.25 m.
A spherical charge distribution of radius R is given by ρ = ρ0(1 – r/R), where r is the radial distance and ρ is the volume charge density. The electric field E is maximum at r equals: Zero 2.0R R/3 2R/3 0.745R Clear my choice
Consider the uniform electric field E → = (4.0 j ^ + 3.0k ^ ) × 103 N/C. What is its electric flux through a circular area of radius 2.0 m that lies in the xy-plane?
The figure shows a spherical shell with uniform volume charge density ρ = 1.88 nC/m3, inner radius a = 10.9 cm, and outer radius b = 3.5a. What is the magnitude of the electric field at radial distances (a) r = 0; (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = b, and (f) r = 3.00b? JUST NEED E and F