Find the electric field everywhere of an infinite uniform line charge with total charge Q.Sol.Using Gauss's Law:PE - dÀ =EA =| E0Since, its the line charge we use the area of a cylinder surrounding the line chargeE*2TL=But all the charged get enclosed by the cylinder area, sodenc = QDeriving, we get:E = (1/2 TE0 )*(/rL)

Gauss law, ∮E⇀.dA⇀=qenc/∈0 where, E-electric field, A-area enclosed, qenc - charge enclosed, ∈0-…

Answered: Find the electric field everywhere of…

Science

Physics

Find the electric field everywhere of an infinite uniform line charge with total charge Q.

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: Electric charge is distributed uniformly along an infinitely long, thin wire. The charge per unit…

A: Gauss's Law: The total flux of the electric field Eover any closed surface is equal to 1ε0 times…

Q: Sketch the electric field lines around an isolated point charge of magnitude +4q.

A: Charge is given as,

Q: Don't Use Chat GPT Will Upvote

A: Step 1:Step 2:Step 3: Step 4:

Q: An infinite line charge produces a field of 9 x 104N/C at a distance of 2 cm. Calculate the linear…

A: Here,d=2 cm=0.02 mE=9×104 N/Cε0=Permittivity of free space.14πε0=9×109Nm2/C2

Q: A continuous line of charge lies along the x axis, extending from x = +x0 to positive infinity. The…

A: Let λ be the charge density of conductor.

Q: An infinite line carries a linear uniform charge density of 22.2 nC/m. Determine the magnitude of…

Q: Charge is distributed uniformly along a long straight wire. The electric field 5.00 cm from the wire…

Q: A very thin spherical shell of radius a has a total charge of Q distributed uniformly over its…

A: Gauss' law states that the total electric flux over closed surface S enclosing a volume V in vacuum,…

Q: L A-196.3 mC charge is placed at the center of a hollow conducting sphere. Find the charge density…

A: There is hollow conducting sphere.A charge is placed at the origin 196.3 mC.Find the charge density…

Q: 6. An thin rod of length L is bent into a half circle in the xy plane and carries a uniform linear…

Q: Determine the charge density of a sphere of radius 25 cm with a total charge of 1100nC uniformly…

Q: (a) Find the total electric field at x = 1.00 cm in (b) given that q = 5.00 nC . (b) Find the…

A: a) The expression for the Electric field between the charges, total field on a charge,

Q: A solid ball with a 0.6 m radius has 15 μC electric charge at its center. Determine the electrical…

Q: Consider a solid metal sphere, with radius of 1 m. The metal sphere is charged with 100 C. What will…

Q: nd the electric field dE at a point xo (where xo is a positive number) on the positive x-axis due to…

Q: An infinite line of charge produces a field of magnitude 4.0 × 104 N/C at a distance of 2.3 m.…

Q: A nonconducting uniformly charged sphere has a radius R and volume charge density “rho”. Find the…

A: Gauss law: Gauss's Law states that the charge enclosed divided by the permittivity determines the…

Q: A small sphere of mass m carries a charge of q. It hangs from a silk thread which makes an angle…

A: Given that, A small sphere of mass m carries a charge of q. It hangs from a silk thread which makes…

Q: A-140.1 mC charge is placed at the center of a hollow conducting sphere. Find the charge density (in…

Q: A cylindrical shell with an inner and outer radius of R1 and R2, respectively, is charged uniformly…

A: We have, radii=R1 , R2 and Volume charge density is ρ C/m3

Q: A uniformly charged, thin, semicircle has a total charge of -Q, and a radius of R. Find the electric…

A: Given that: Total charge = -Q radius of circle = R length of half circle =2πR2=πR Let O be the…

Q: A thin semicircular wire has charge per unit length λ. Calculate the electric field at the point P…

A: The electric field due to the small length of semicircle is given as

Q: For a unit, positive point charge at the origin, find the curl of the electric field due to that…

Q: A line of positive charge is formed into a semicircle of radius R. The charge per unit length along…

Q: A spherical conducting shell has an inner radius, b, and an outer radius, a. A point charge, 2q, is…

Q: Charge is uniformly distributed around a conducting ring of radius a. Find the electric field at a…

Q: Find the electric field above an infinite plane of charge with constant surface charge density σ0

Q: A uniformly charged rod of length L and total charge Q lies along the x axis as shown in Figure. (a)…

Q: (a) Three point charges are located on the circumference of a circle of radius r, at the angles…

Q: Q4/ Find the electric field at point P due to the charge (Q) when both charge (Q) and point (P) in…

A: Electric field at point P due to charge Q when both charges at same side of the square…

Q: Consider the pair of charges: 8.6 μC at x = - 2 cm and Q at x = 4 cm. If the net electric field at…

Q: An infinite line charge produces a field of 9 × 102 N/C at a distance of 2 cm. Calculate the linear…

A: Applications of Gauss’s theorem says that1). Electric field due to an infinitely long straight…

Q: Find the electric field at a point of height z on the perpendicular that is subtracted from the…

Q: Two point charges 5uC and -5uc are located 30 cm apart in vacuum. What is the electric field at the…

Q: Assume you have a line of positive charge with a linear charge density of 10.0 HC/m. Assume that…

A: Given data: The linear charge density is μ=10 μC/m.

Q: A uniformly charged Insulating sphere nas a radius R and total charge Q. Find the electric field a)…

A: 3. Let us consider a uniformly charged insulating sphere of radius R having charge Q. Since it is…

Q: Find the electric field at a distance from a linear plus charge with a constant linear charge…

A: According to Gauss Law, the net flux through a closed surface that encloses a charge is equal to the…

Q: magnet is used to produce a uniform magnetic field between its poles, shown in figure 3 below. The…

A: GivenB=0.04 TN=50 turns

Q: (a) Three point charges are located on the circumference of a circle of radius r, at the angles…

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

Find the electric field everywhere of an infinite uniform line charge with total charge Q.
Sol.
Using Gauss's Law:
PE - dÀ =
EA =
| E0
Since, its the line charge we use the area of a cylinder surrounding the line charge
E*2T
L=
But all the charged get enclosed by the cylinder area, so
denc = Q
Deriving, we get:
E = (1/2 TE0 )*(
/rL)

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 Gauss law

VIEW

Step 2 diagram

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

Please Asap
An infinite line charge produces a field of 9 x 104 N/C at a distance of 2 cm. Calculate the linear charge density.
Find the electric field vector anywhere in the plane of a dipole. Let the charge value on one charge be q. Let them be separated by d. Let the origin be in between them. And say they are each on the y axis.
Positive charge Q is uniformly distributed around a semicircle of radius a as shown in Fig.. Find the magnitude and direction of the resulting electric field at point P, the center of curvature of the semicircle.
Find the electric field with a constant linear charge density, infinite length, a distance from a linear plus charge.
Four charged particles are at the corners of a square let q1 =2q, q2 = q, q3 = 3q and q4 = 4q.(a) Determine the electric field at the location of 4. (b) Determine the force at location 4 if q= 6 μC.
2 C of charge are placed on a spherical conducting shell. A particle with a charge of 1 C is placed at the center of the cavity. Find the net charge on the outer surface of the shell. Express your answers in units of C with no decimal place. Do not forget a minus sign if your answer is negative.
An infinite line of charge produces a field of magnitude E=7x10* N/C 8- at distance 3 m. Find the linear charge density.
Find the maximum charge that can be transferred to a spherical conductor of radius 50 cm if it is surrounded by polystyrene.
Find the electric field at a point 2 m away from a very long positive line charge whose charge density is 100 nC/m.
In the figure a smallI, nonconducting ball of mass m = 0.92 mg and charge q = 2.0 x 108 C (distributed uniformly through its volume) hangs from an insulating thread that makes an angle 0 = 39° with a vertical, uniformly charged nonconducting sheet (shown in cross section). Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surface charge density o of the sheet. n, 4 ++++ + + tE + +