A long, thin wire carrying uniform line charge density λ1 runs down the center of a long cylindrical tube of radius 15.0 cm carrying charge distributed uniformly over its surface; the charge per unit length of the tube is λ2. The electric field 7.50 cm from the center of the wire has magnitude 1.17 MN/C and points inward. The electric field 23.8 cm from the center of the wire has magnitude 3.68 MN/C and points outward. Find the line charge density λ1 on the wire, and the line charge density λ2 on the tube.

Q: A solid insulating sphere with radius 0.45 m has a uniform volume charge distribution. The electric…

A: Given data: The radius of sphere is R=0.45 m. The electric field at x=0.15 m from surface is E=2000…

Q: At what distance along the central axis of a uniformly charged plastic disk of radius R = 0.314 m is…

A: The electric field magnitude (E0) at the disk’s center and that (E1) at a point on the axis at a…

Q: As shown in the figure below, a solid insulating sphere of radius a - 5.00 cm carries a net positive…

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Q: A solid conducting cylinder of length L=26m and radius r1=1.31 m is charged with surface charge…

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Q: A spherical, non-conducting shell of inner radius = 10 cm (r1) and outer radius = 15 cm (r2) carries…

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Q: A charge of uniform linear density 2.80 nC/m is distributed along a long, thin, nonconducting rod.…

A: Given Charge density on the rod λ = 2.80 nC/m = 2.80 x 10-9 C/m Inner radius of the shell ri = 5.20…

Q: A flat square sheet of thin aluminum foil, 40 cm on a side, carries a uniformly distributed 355 nC…

A: The electric field due to a charged square sheet of side a at a distance z from center with charge…

Q: Suppose the conducting spherical shell in the figure below carries a charge of 3.80 nC and that a…

A: Givencharge at the center of the shell Q = -1.40nCCharge at the surface of the shell Q' =…

Q: A square sheet with sides 1.57 meters long is held in a uniform electric field of magnitude 1.1 x…

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Q: A solid sphere, of radius a = 2.30 cm is concentric with a spherical conducting shell of inner…

A: Given, a solid sphere, of radius a = 2.30 cm is concentric with a spherical conducting shell of…

Q: A uniformly charged disk with radius  R = 35.0 cm  and uniform charge density  ? = 7.10 ✕ 10−3 C/m2…

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Q: A spherical conducting sphere with radius of 5.00 cm carries a uniform surface charge density of…

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

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Q: An electric field with a magnitude of 3.50 kN/C is applied along the x-axis. Calculate the electric…

A: Every charge disturbs space in its vicinity creating what we call the electric field. This electric…

Q: A solid insulating sphere of radius 0.06 cm carries a total charge of 30 nC. Concentric with this…

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

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Q: A positive static charge +10q is placed off-center inside a conducting shell of a certain thickness.…

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Q: sphere of radius R=0.250 m and uniform charge density −151 nC/m3 lies at the center of a spherical,…

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Q: A uniformly charged disk of radius 35.0 cm carries charge with a density of a. If the electric field…

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Q: A square that has 26 cm long edges is centered on the x axis in a region where there exists a…

A: (a) Electric flux through the surface is ϕE=EAcosθ=2.00×103 NC0.26 m2cos0°      (electric field and…

Q: A electric field at 3.2 cm from the centre of a long copper rod of radius 0.6 cm has a magnitude 6.6…

A: Given value--- Electric field = 6.6 N/C. radius = 0.6 cm. We have to find--- What is the charge…

Q: Charge is uniformly distributed around a ring of radius R = 2.40 cm, and the resulting electric…

A: Consider the following illustration of the electric field (E) due to a ring of a uniform charge (Q)…

Q: A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it,…

A: radius of cylinder = Rvolume charge density = ρobservation point = r

Q: Consider an imaginary cylinder with a radius of r = 0.165 mm and a length of l = 0.465 m that has an…

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Q: A spherical conducting shell has a uniform surface charge density of 1.5 × 10-7 C/m2. What is its…

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Q: An unknown charge sits on a conducting solid sphere of radius 11 cm. If the electric field 14 cm…

A: The electric field outside the outside the conducting sphere is

Q: A neutral solid metal sphere of radius 0.1 m is at the origin, polarized by a point charge of 4 ✕…

A: Given: Radius of solid metal sphere = 0.1 m. Point charge q = 4×10-8 C Location of point charge =…

Q: charge 2µC. A conducting spherical shell of inner radius 50 cm and outer radius 60 cm is concentric…

A: Recall Gauss's law∮E→.dA→=qenc/ε0

Q: A solid nonconducting sphere of radius R carries a charge Q distributed uniformly throughout its…

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Q: A cylindrical metal can has a height of 27 cm and a radius of 11 cm. The electric field is directed…

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Q: •• A hollow metal sphere has 6 cm and 10 cm inner and outer radii, respectively. The surface charge…

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Q: A spherical conducting sphere of radius R = 10 cm has total excess charge Q. What is the electric…

A: Given, Radius,R=10 cm Charge,Q

Q: Consider a closed triangular box resting within a horizontal electric field of magnitude E = 7.60 x…

A: Given : E = 7.60 x 104 N/C

Q: A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the…

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Q: A disk with a radius of 0.10 m is in a uniform electric field with a size E = 2x10 ^ 3 N / C. The…

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Q: In the figure a solid sphere of radius a = 2.40 cm is concentric with a spherical conducting shell…

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Q: In the figure a solid sphere of radius a = 3.00 cm is concentric with a spherical conducting shell…

A: As the question is having more than three sub parts, first three are solved.

Q: A electric field at 3.8 cm from the centre of a long copper rod of radius 0.7 cm has a magnitude 3.6…

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Q: 9. What is the electric flux, the rate of flow of the electric field through a given surface, in a…

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Q: A small conducting ball that carries a charge of 30.0 nC is located at the center of an electrically…

A: Given:-  q= 30.0 nC a = 100 mm b = 150 mm hollow sphere is neutral,  That means net charge is zero…

Q: Calculate the electric field in N/C at point P, a distance (4.35x10^1) cm along the central axis of…

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Q: Consider a closed triangular box resting within a horizontal electric field of magnitude E =…

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Q: ++ + + b + + + A hollow sphere has a uniform volume charge density of 1.46 nC/m³. The inner radius…

A: ρ=1.46 nC/m3=1.46*10-9 C/m3a=11.7 cm = 0.117 mb = 46.8 cm =0.468 m

Q: A plastic rod with a uniform charge - Q is bent in a 120° circular arc of radius r and is…

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Q: Consider a closed triangular box resting within a horizontal electric field of magnitude E = 7.80 X…

A: Given : E = 7.80 x 104 N/C

Q: In the figure below, a solid sphere, of radius a = 1.50 cm is concentric with a spherical conducting…

A: Given information: Radius of the sphere (a) = 1.50 cm = 0.015 m The inner radius of the shell (b) =…

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.