A segment ofa circular wire of radius R, extending from 0 = 0 to /, carries a constant linear charge density,[JAM 2012]2. The electric field at origin 'O' is:R.-(-x-ŷ) (b)1ŷ \ (c)(d) 0(a) 4TE,R4TE,R4Tɛ,R2

Let dE be the electric field at the origin due to small segment of length dl of the circular wire.…

A segment ofa circular wire of radius R, extending from 0 = 0 to , carries a constant linear charge density, 2. The electric field at origin “O' is: (JAM 2012] R. 1 (a) (-&-ŷ) 4Te,R (b) 4tE,R 1 -ŷ | (c) (d) 0 4πε,R

A segment ofa circular wire of radius R, extending from 0 = 0 to , carries a constant linear charge density, 2. The electric field at origin “O' is: (JAM 2012] R. 1 (a) (-&-ŷ) 4Te,R (b) 4tE,R 1 -ŷ | (c) (d) 0 4πε,R

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 43P: A very long, thin wile has a uniform linear charge density of 50C/m . What is the electric field at...

See similar textbooks

Related questions

Q: An infinite line charge has constant charge-per-unit-length λ. Surrounding the line charge is a…

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

A: The expression for Gauss's law, ∮E→.dA→=qenc/ε0 So, EA=qenc/ε0

Q: A rod with a uniformly distributed charge Q is bent into an arc such that it subtends an angle 20,…

A: Let electric field E at point P now consider a point charge at a distance r . We know , Electric…

Q: A sphere of radius R has a charge distribution given by rho(r)=A√r where A is a constant. What is…

Q: A solid metal sphere with a spherical cavity as shown below has a total charge +Q. [IISc. 2007] R…

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

A: The Gauss law states that the total flux passing through a closed surface is equal to the charge…

Q: An infinitely long cylinder with a radius of 1.0 cm has a charge density that is proportional to the…

Q: ric charge Q is distributed uniformly along a thick and enormously long conducting wire v dicular to…

A: Suppose an electric field charge (Q) is distributed uniformly along a thick and enormously long…

Q: The figure below shows a very long, thick rod with radius R, uniformly charged throughout. R Find an…

A: Given data, R = radius of the cylindrical rod λ=linear charge density on the rod

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

A: According to the Gauss's law " the total electric flux passes through the closed gaussian surface (…

Q: Po Fo/4 To A sphere of Radius r, carries a constant volume charge density p, as seen in the figure.…

A: We can use superimposition mathod to solve above We can superimpose a -vely charge small sphere on…

Q: The electric field strength outside a finite distribution of charge whose volume charge density…

A: Here density of distribution (p) =p(r) Outside the distribution total charge enclosed will be the…

Q: the electric field everwhere on the surface pf a thin spherical shell of radius 0.850 m is measured…

A: Write the given values of this problem. r=0.850 mE=980 N/C k=9×109 N.m2/C2(fixed)

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

A: Gauss law is defined as ∮E→·dA→ =qencε0 Here E→ is the electric field, dA→ is a differential area…

Q: For constant flux, what can you say to the area through which the flux passes if the electric field…

Q: an infinite charged line penetrates a cubic nurface as shown in the figure. The net electric thes…

A: Write the expression for the electric flux. Here, q represents the charge and εo represents the…

Q: A cylinder of radius R and length Lis placed in a uniform electric field Ē, parallel to it's axis,…

Q: A cylindrical and long charge distribution has been described by the charge density function shown…

Q: A non-uniformly charged insulating sphere has a volume charge density p that is expressed as p= Br…

A: Boxes can be filled in following manner:

Q: The figure above shows a closed Gaussian surface in the shape of a cube of edge length d. It lies in…

A: The differential form of Gauss law can be given as, Here ρenc is the charge density and E is the…

Q: Two concentric spheres of radii R and R, are charged with surface charge densities o1 and 2, as…

Q: The charge dersity of cylinder with infinite Tength is radius of the cylinder goven plr) = Poe-la as…

Q: A point charge -Qis placed at the center of a thick insulating spherical shell of inner radiusr and…

A: option d

Q: 2 rectangular plates have o, and o, surface charge densities and they are 102 placed parallel to…

Q: A POINT P WITH DISTANCE L FROM THE ORIGIB O IS LOCATED AT THE RIGHT END OF A CGARGED ROD OF LEGTH…

A: Given: Length of rod, L=1 m Total charge on rod, Q=-100 μC=-10-4 C Charge on point P, q=2 μC=2×10-6…

Q: AREOR ANEAYQU Let E,(r), E,(r) and E,(r.) be the respective electric fields at a distancer from a…

Q: PRACTICE: Consider the setup shown in the figure below, where the arc is a semicircle with radius r.…

Q: Consider a graph showing the rela electric field E and the distance r f the sphere. I would like to…

A: We know that the electric field inside the hollow spherical conducting sphere is Zero, because…

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

A: Total charge is Q . Area is A = 2πrL Where r is the radius L is the Length of the cylindrical…

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

A: Given data: Magnitude of total charge is, Q.

Q: A sphere of Radius rɔ carries a constant volume charge density po as seen in the figure. A spherical…

A: Given data: The radius of the sphere is r0. The volume charge density of the sphere is ρ0. 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: Problem 4.32 A point charge q is imbedded at the center of a sphere of linear dielectric material…

A: Given: A point charge q is impeded at the center of a sphere of linear dielectric material (with…

Q: A solid insulating sphere with radius Rcarries electric charge which is non-uniformly distributed…

A: Finding charge on sphere, Volume charge density of sphere = ρ = αr Since the sphere is non uniform ,…

Q: Consider six point charges kept at the corners of a symmetric hexagon as shown in the fwitowing…

A: electric field due to point charge E = KQ/R2

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

Q: The problem is to use Gauss's Law to get the expression for the electric field inside the line. The…

A: 1.Because of symmetry of the given problem, only radial component id zero. Thus,

Q: A = 3.0 Mc is beated at he * Secand charge t = - 7Me is lecated on tthe X axis, o.4om from the…

Q: A line of charge starts at x = +x, and extends to posi- tive infinity. The linear charge density is…

Q: a Frnd the dectric field at poînt P. b) What watkd be fe electric field if; J Find the electri field…

A: Recall E→=KQr3r→

Q: A ring has a total charge Q uniformly distributed around it. If its radius is a, what is the…

A: Given Data: Total charge over circumference →Q Radius of ring →a

Q: An electric dipole consists of chares q at (0, -a, 0) and -q at (0, a, 0). What is the torque…

A: Given, An electric dipole consist of charges q at (0, -a, 0)-q at (0, a, 0)The electric field E x^

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

A: Suppose charge enclosed in the gaussian surface is qenc and radius of cylinder is 'r', then Using…

Q: The volume charge density of a spherical charge distribution is given by ρ(r) = ρ0 e−αr, where ρ0…

A: Flux ∅=qenc∈o=∫E.dA=E4πr2

Q: A very long solid nonconducting cylinder of radius Ro and length l (Ro «l) possesses a uniform…

Q: Q2/ A charge 1= 3.0plc is beated t the a Secand charge t2 = bcated on the K axis, o. 40m From the…

Q: Two point particles, one with charge +8×10-9 C and the other with charge −2×10-9 C, are separated by…

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 segment ofa circular wire of radius R, extending from 0 = 0 to /, carries a constant linear charge density,
[JAM 2012]
2. The electric field at origin 'O' is:
R.
-(-x-ŷ) (b)
1
ŷ \ (c)
(d) 0
(a) 4TE,R
4TE,R
4Tɛ,R
2

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 3

VIEW

Step by step

Solved in 3 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

Two parallel conducting plates, each of cross-sectional area 400 cm2, are 2.0 cm apart and uncharged. If 1.01012 electrons are transferred from one plate to the other, what are (a) the charge density on each plate? (b) The electric field between the plates?
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 thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
ne electric field at 2 cm from the center of long copper rod of radius 1 cm has a magnitude 3 N/C and directed outward from the axis of the rod. (a) How much charge per unit length exists on the rod? (b) What would be the electric flux through a cube of side 5 cm situated such that the rod passes through opposite sides of the cube perpendicularly?
A very long, thin wile has a uniform linear charge density of 50C/m . What is the electric field at a distance 2.0 cm from the wire?
(a) Find the magnitude and direction of the electric field at the position of the 2.00 C charge in Figure P13.13. (b) How would the electric field at that point be affected if the charge there were doubled? Would the magnitude of the electric force be affected?
The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.
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.
What is the magnitude of the electric field due to a charged particle at its exact location (r = 0)?
A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius 3.5 cm and outer radius 4.0 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 8.0 N/C. (a) What is the charge density on the inner surface of the shell? (b) What is the charge density on the outer surface of the shell? (c) What is the net charge on the conductor?
A charge of 30C is distributed uniformly a spherical volume of radius 10.0 cm. Determine the electric field due to this charge at a distance of (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the center of the sphere.
Two parallel plates 10 cm on a side are given equal and opposite charges of magnitude 5109 C. The plates are 1.5 mm apart. What is the electric field at the center of the region between the plates?