Example: A rod of length , has a uniform positive charge per unit length A and a total charge Q. Calculate the electric field at a point P that is located along the long axis of the rod and a distance a from one end. dx

Example: A rod of length , has a uniform positive charge per unit length A and a total charge Q. Calculate the electric field at a point P that is located along the long axis of the rod and a distance a from one end. dx

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

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 60P: A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the...

See similar textbooks

Related questions

Q: A glass rod is bent in a circular segment of radius R=10cm, a charge q=3,5µC is evenly distributed…

A: Given : Radius of the segment, R = 10 cm = 0.1 m Charge distribution, q = 3.5 μC Angle of the…

Q: Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an…

A: Given:

Q: Two infinite, planar sheets are placed parallel to each other. One sheet is uniformly charged with…

Q: In the figure below, a semicircle of radius a is in the first and second quadrants, with the center…

A: The semicircle is in first and second quadrant . +Q charge is distributed in the left half of the…

Q: A rod with linear charge density λ is bent into a quarter circle with radius R. (a) Find expressions…

A: This question is based on electric field intensity due to variable charge.

Q: In the figure a butterfly net is in a uniform electric field of magnitude E = 5.4 mN/C. The rim, a…

A: If the electric field E is uniform, the electric flux (ΦE) passing through a surface of area A is:…

Q: Prob.6 An insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly…

Q: DETAILS SERPSE10 23.4.P.031. MY NOTES ASK YOUR TEACH Consider a long, cylindrical charge…

A: ρ=Volume charge densityr=Distance from the axisR=Radius of cylinderε0=Vacuum permittivityl=Length of…

Q: Four charged rings placed as in the figure below. Given that all rings have the same charge 26.4 nC…

Q: The charge per unit length on the thin rod shown below is A. What is the electric field at the point…

Q: The figure below shows a thin rod with a uniform charge density of 2 =5x10*C/m. Calculate the…

Q: Question no 1: A non-conducting rod of length A with a uniform charge density à and a total charge Q…

Q: Calculate the x-component of the electric field at the point M

Q: In the figure a butterfly net is in a uniform electric field of magnitude E = 4.7 mN/C. The rim, a…

A: According to Gauss’s law, the electric flux can be expressed as,

Q: Show that the following expression for the electric field a distance z along the central axis of a…

Q: A thin rod of length e and uniform charge per unit length 2 lies along the x-axis as shown in the…

Q: Imagine a negative charge −Q that is uniformly distributed along the y-axis between y=0 and y=l as…

A: Electric field due to point charge E = kq/r2

Q: Q2: a\ prove that: a= qE /m b/ A ring of radius r carries a uniformly distributed positive total…

A: (a) Prove a = q E/m (b) 1. A ring of radius r carries a uniformly distributed positive total charge…

Q: Calculate the electric field(magnitude and direction) at the center of a square 52.5 cm on a side if…

Q: A semi-circular rod of radius R contains a positive charge +Q. The field point P is situated at the…

A: Total charge is +Q.

Q: Question 2: Find the electric field due to a non-conducting, infinite plane of positive charge with…

A: Consider a side view of the given figure below.

Q: Determine the electric field at the origin due the quarter circle of charge in the figure. The arc…

A: Draw the direction of the electric field due to the elemental strip as shown below: Assume that the…

Q: Use GFSA (Given, Find, Solution, and Answer) on the given space below. Encircle your final answer,…

A: Given data: Radius of the cylinder, r = 1m length of the cylinder, l =1.5 m Linear charge…

Q: A thin rod of length ℓ and uniform charge per unit length λ lies along the x axis as shown in the…

A: Draw the following diagram to represent the electric field at point P due to a small charge particle…

Q: A thin rod of length "" and uniform charge per unit length "L" lies along the x axis as shown . (a)…

Q: Constants A flat sheet of paper of area 0.400 m² is oriented so that the normal to the sheet is at…

A: Electric Flux is defined as Flux ϕ=E.A Cosθ Where "E" is the electric field "A" is the area of…

Q: A uniformly charged rod of length L and total charge Q lies along the axis as shown in in the fiqure…

Q: A thin rod of length m carries a uniform charge density A=0.12 µC m along its length. Take Coulom C…

A: L = 11.7 m k = 9*10^9 Nm^2

Q: A positively charged disk of radius R and total charge Qdisk lies in the xz plane, centered on the y…

Q: Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an…

Q: Consider two identical circular rings of radius a, charged with linear and positive charge density…

Q: COA QUESTION 5 UBB Gal R Which of the following graphs represents the magnitude of the electric…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: A uniformly charged conducting plate with area A has a total charge Q which is positive. Consider a…

Q: 1. At right, the point charges Q, =+ 48 ucoul and Q = - 144 µcoul are fixed in the (xy) plane. If a…

A: Given information: Consider the diagram below in which the direction of the electric field due to…

Q: A region of space contains a uniform electric field, directed toward the right, as shown in the…

A: As points A and B are at same horizontal distance therefore they will have same potential. Point C…

Q: Suppose you design an apparatus in which a uniformly charged disk of radius R 4. is to produce an…

Q: A rod of length ℓ has a uniform positive charge per unit length λ and a total charge Q. Calculate…

A: The expression for the field at point P due to the elementary charge is, Here, k is the Coulomb’s…

Q: Use the figure below. There is a point charge of 6.20 microCoulombs inside a spherical conducting…

Q: A ring of radius a carries a uniformly distributed positive total charge. uniformly distributed.…

A: Consider a small differential element of the ring which is of length = ds Hence, charge on this…

Q: A thin rod of length ℓ and uniform charge per unit length λ lies along the x-axis. (a) Show that the…

A: To show that the electric field at p

Q: The charge per unit length on the thin rod shown below is 2. What is the electric field at the point…

Q: 91 R Ring 1 Ring 2 P ←R→ d R 92

A: Solution:Field of a ring at axial point is given as:E→ = kQxx2+R232Now the field at point P due to…

Q: A rod of length(L), has a uniform positive charge per unit length (1) and a total charge Q.…

Q: +Q R 1. Suppose that a charged rod of uniform charge density A is formed into a semi- circle of…

A: Here given the charged rod of semi circle with radius R . The left half carry -Q and right half…

Q: Use GFSA (Given, Find, Solution, and Answer) on the given space below. Encircle your final answer,…

A: Given: Cylinder's radii, r=1 m Length, L=1.5 m Linear charge density, λ=30 C/m Separation from point…

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

If the charge is nonuniformly distributed over a volume, surface, or line, the
amounts of charge dg in a small volume, surface, or length element are
dq p dV
dq = o dA
dg = x de
Example: A rod of length , has a uniform positive charge per unit length A and a total charge Q.
Calculate the electric field at a point P that is located along the long axis of the rod and a distance
a from one end.
dx
P.
A dx

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

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?
Recall that in the example of a uniform charged sphere, p0=Q/(43R3). Rewrite the answers in terms of the total charge Q on the sphere.
An insulating solid sphere of radius a has a uniform volume charge density and carries a total positive charge Q. A spherical gaussian surface of radius r, which shares a common center with the insulating sphere, is inflated starting from r = 0. (a) Find an expression for the electric flux passing through the surface of the gaussian sphere as a function of r for r a. (b) Find an expression for the electric flux for r a. (c) Plot the flux versus r.
A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.
The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the ball's center and has magnitude 4.0102 N/C. How much charge is on the surface of the ball?
A charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.
Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge density −η, where the charge density is charge per unit area. What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of η, R, a, and the permittivity of free space ϵ0.
This is an equation for an radially directed, electric field of a rod that has finite charge and is uniform. r is the distance of the charge in a plane that bisects the rod. L= length of the rod, Q= Total charge of the rod, k=coulomb's constant. if k=1 units, Q=1 units, L=12 units, what is Erod when r=4?
Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?
A charge distribution that is spherically symmetric but not uniform radially produces an electric field of magnitude E = Kr4, directed radially outward from the center of the sphere. Here r is the radial distance from that center, and K is a constant.What is the volume density r of the charge distribution?
A point charge qq is at the point x=0,y=0,z=0.x=0,y=0,z=0. An imaginary hemispherical surface is made by starting with a spherical surface of radius RR centered on the point x=0,y=0,z=0x=0,y=0,z=0 and cutting off the half in the region z<0.z<0. The normal to this surface points out of the hemisphere, away from its center. Calculate the electric flux through the hemisphere if (a) q=8.00 nCq=8.00 nC and R=0.100 m;R=0.100 m; (b) q=−4.00 nCq=−4.00 nC and R=0.100 m;R=0.100 m; (c) q=−4.00 nCq=−4.00 nC and R=0.200 m;.
Charge is uniformly distributed around a ring of radius R = 2.40 cm, and the resulting electric field magnitude E is measured along the ring’s central axis (perpendicular to the plane of the ring). At what distance from the ring’s center is E maximum?