Q: A long thin wire carrying a uniform line charge density +λ runs down the center of a long cylindrical tube of radius R carrying a line charge density -2λ distributed uniformly over its surface. Find expressions for the electric field as a function of radial distance r from the axis of the wire for (a) r<R and (b) r>R. Use a minus sign to indicate a field pointing inward.   In this question would area, A=2πrL where L is the length of the wire and why is that?

Q: A solid insulating sphere of radius a = 5.1 cm is fixed at the origin of a co-ordinate system as…

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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: In the figure, a hollow hemisphere is in a uniform electric field of magnitude E = 3.0 kN/C. The…

A: Given data: Magnitude of the electric field (E) = 3.0 kN/C Radius of the circular rim (R) = 12 cm…

Q: A massive non-conducting sphere of radius R has a charge Q uniformly distributed in its volume.…

A: A massive non-conducting sphere of radius R has a charge Q uniformly distributed in its volume.

Q: For which of the following charge distributions would Gauss's law not be useful for calculating the…

A: Option A  A cylinder of radius R and height h with charge uniformly distributed over its surface for…

Q: A straight line with charge density pl forms a semicircle of radius r in the first half of the…

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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 b - 3Q

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Q: For which of the following charge distributions would Gauss's law not be useful for calculating the…

A: Gauss's law states that the net electric flux through any hypothetical closed surface is…

Q: There is an electric flux of 38.5 N⋅m^2/C through the square region shown in the figure. Each side…

A: Electric flux through a surface is given by- ϕE=∫E→.dA→=EAcos(θ) where,θ is angle between the…

Q: What is the electric flux density (in µC/m2) at a point (10, 4, - 5) caused by a uniform surface…

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Q: An electric field given by = 5.5i - 2.3(y2 + 5.8)j pierces the Gaussian cube of edge length 0.210 m…

A: Electric flux is defined as a effective number of electric field lines passing through a given cross…

Q: A spherical Conductor of radius 0.330 m has a spherical cavity of radius 0.120m at its center. The…

A: Given: The radius of spherical conductor = 0.33 m Radius of cavity = 0.12 m Charge on the surface of…

Q: A solid insulating plastic sphere of radius a carries a total net positive charge 3Q uniformly…

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Q: what conditions must be true for you to be allowed to write the flux integral such that... §Ē • dà =…

A: Electric flux: The total number of electric field lines passing the area per unit time is known as…

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

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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: For which of the following charge distributions would Gauss's law not be useful for calculating the…

A: Given question has aked about  case in which  gauss law is not useful The Answer of this question is…

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

A: The expression for the electric field due to ring at a distance xo is given as E=14πεoqxoR2+xo232…

Q: A solid sphere of radius a is concentric with a spherical conducting shell of inner radius b=2.00a…

A: (a) Draw a Gaussian spherical surface of radius(r) 1.5a as shown below.

Q: A cylinder of diameter 1.72 m is in a region where the electric field is as shown in the figure…

A: Flux is the cross product of electric field and cross section area.

Q: A solid conducting cylinder, which has a charge Q1 =91Q and radius ra = 2.2R is placed inside a very…

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Q: 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…

A: The electric flux through closed sphere depends on the charge enclosed by the sphere. Thus, the…

Q: An electric field given by É =4.5 i - 4.6(y² + 1.3)j pierces the Gaussian cube of edge length 0.130…

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

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Q: A solid insulating sphere of radius 0.07 m carries a total charge of 25 uC. Concentric with this…

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

Q: A conductive sphere with a cavity has an outer radius of 0.30 m, an inner radius of 0.25 m, and a…

A: Inner radius, ri = 0.25 m  Outer radius, ro = 0.30 m  Surface charge density, σ=5.80 μC/m2 Charge…

Q: A thin straight infinitely long conducting wire having charge density X is enclosed by a cylindrical…

A: Given: Charge density =X Radius =r Length =l

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: Consider a region of the shape of a rectangular box in the three dimensional coordinate system shown…

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Q: For which of the following charge distributions would Gauss's law not be useful for calculating the…

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Q: A solid insulating sphere of radius a = 5.1 cm is fixed at the origin of a co-ordinate system as…

A: EXP=Qinc4πε0x2=43πa3ρ4πε0x2=9×109×4π×5.1×10-23-224×10-63×15.3×10-22=−47852.7393 N/C

Q: A charge +Q is distributed uniformly within a solid sphere of radius r, . It is surrounded by…

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Q: A solid conducting sphere of radius R has a uniform charge distribution, with a density = Ps * r / R…

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Q: Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis…

A: The electric field due to point charge is, E=q4πε0R2…

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

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Q: E, = bx? Let the distribution of electric field strength in a certain area of space be y E, = E. = 0…

A: Given,

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

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Q: We have calculated the electric field due to a uniformly charged disk of radius R, along its axis.…

A: For negative charges, electric field lines point towards them. Hence, for a negatively charged disk,…

Q: A metal ball (electrically conductive) with a radius of R = 10cm was placed in a vacuum and charged…

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Q: A solid conducting cylinder, which has a charge Q1 =61Q and radius ra = 1.7R is placed inside a very…

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Q: A uniform line charge of density Q' has the form of a semicircle of radius a, lying in the xy plane,…

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

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Q: The electric flux through a spherical Gaussian surface of radius r=20.0cm, with a uniformly charged,…

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Q: Calculate the absolute value of the electric flux for the following situations (In all case provide…

A: Electric flux through any surface through which an electric field is crossed is given by the formula…

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

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Q: For which of the following charge distributions would Gauss's law not be useful for calculating the…

A: Gauss law is applicable on all the cases where it is possible to draw a symmetric gaussian surface.

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.