A cube has one corner at the origin and the opposite corner at the point (L,L,L). The sides of the cube are parallel to the coordinate planes. The electric field in and around the cube is given by E⃗=(a+bx)i^+cj^. Find the total electric flux ΦE through the surface of the cube. Express your answer in terms of a b c L What is the net charge qq inside the cube? Express your answer in terms of a b c L ϵ0

Q: A solid insulating sphere of radius a = 10 cm carries a net positive charge 3Q uniformly distributed…

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Q: The electric field E in the Figure shown below is everywhere parallel to the x-axis, so the…

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Q: A total charge 5.0 × 10−6 C is distributed uniformly throughout a cubical volume whose edges are 8.0…

A: Given Charge Q = 5.0 x 10-6 CSide of cube a = 8.0 cm

Q: A charge of 87.6 pCpC is uniformly distributed on the surface of a thin sheet of insulating material…

A: The charge density of the thin sheet is, σ=Total chargeTotal area=QA…

Q: The figure shows an electric field passing through a two dimensional surface. GO i) In what…

A: flux through the surface is  ϕ=E.A=EAcosa  where A is the area vector            a is the angle…

Q: Consider the cube shown with sides of length L = 18 cm. An external electric field E = 1.4 ×104 N/C…

A: The electric field is given as follow. E=1.4×104 NC    Use the expression to calculate the electric…

Q: Inside a spherical surface is a 2.65 x10-6C and a -1.1 x10-6 C charge. What is the total electric…

A: According to the Gauss's theorem, the electric flux is given by  ϕ =qenclosedεo

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: The electric field everywhere on the surface of a thin, spherical shell of radius 0.715 m is of…

A: The given data are: r=0.715 mE=885 N/C Here, r denotes the radius and E denotes the electric field.

Q: A Gaussian surface in the form of a hemisphere of radius R = 5.68 cm lies in a uniform electric…

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Q: A flat circle of radius 19 cmcm is placed in a uniform electric field of magnitude 7.1×102 N/CN/C .…

A: GivenRadius r = 19 x 10-2 mField E = 7.1 x 102 N/C

Q: NOTE: Ke= 8.99x 10(power 9) N.m2/C2 A uniformly charged, straight filament 8 m in length has a total…

A: Given : ke = 8.99 × 109 N.m2/C2 L = 8 m q = 4 μC = 4 × 10-6 C ℓ = 4 cm = 0.04 m r = 12 cm = 0.12 m

Q: A point charge is located at the origin. Centered along the x axis is a cylindrical closed 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: The normal vector of a disk (r = 10 cm) is parallel to a uniform electric field (E = 2.0 x 10^3…

A: When a disk or wire is placed in an electric field, a magnetic field is induced in the disk. This…

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: A thin, long rod of length 13.0 m lies along the x axis with its center at the origin. The total…

A: Consider point P at a distance y from the origin. The diagra can be shown as below:   As seen in…

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

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Q: Consider a hollow spherical conductive shell of radius (R) 0.2 m with a fixed charge of +2.0 x 10-6…

A: Given, Radius R = 0.2 m Charge q = 2.0 x 10-6 C

Q: A rectangular surface extends from x = 0 to x = 36.0 cm and from y = 0 to y = 30.0 cm in the xy…

A: Given- X = 36 Cm Y = 30 Cm Nonuniform electric field given by E = (4.00z + 3.00y − 2.00x) N/C.

Q: A Gaussian cube of length L has its bottom, left, rear corner at the origin of the coordinate system…

A: Given : electric field, E→=E1xLi^+E0j^ side of the cube, L   Determine :- (4) flux through each face…

Q: Given a conducting sphere with radius R. If the sphere carries a net charge +Q, find the electric…

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Q: Consider a closed triangular box resting within a horizontal electric field of magnitude E = 8.86 x…

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Q: C

A: GivenE=(3.0 j+7.0 k)×103 N/C

Q: A charge of +12.0 µC is placed in at the center of a cube 24.0 cm on an edge. (a) What is the total…

A: Given data:  Charge (Q) = +12.0 μC = +12.0×10-6 C Edge length of cube (l) = 24.0 cm Required: The…

Q: An electric field of magnitude 3.40 kN/C is applied along the x axis. Calculate the electric flux…

A: Electric Flux

Q: The electric field in a particular space is E→ = (x + 1.8)î N/C with x in meters. Consider a…

A: Electric flux through a closed surface is given by-ϕ=∮E.ds=Qenclosedε0

Q: An unknown charge sits on a conducting solid sphere of radius 10 cm. If the electric field 15 cm…

A: The radius of a conducting sphere,

Q: A flat circle of radius 200 mm is placed in a uniform electric field of magnitude 20500 mN/C. What…

A: Given data;                      Circle of radius r =200 mm=0.2 m                uniform electric…

Q: A cube of side L = 2.2 m lies in a region where the electric field is given by 3.G take → 3.6 en…

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Q: A cube of side L and a point charge q are placed in the xyz coordinate system, as shown. The…

A: GivenCube with side L

Q: The electric field at point P just outside the outer surface of a hollow spherical conductor of…

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Q: Assume the magnitude or the the figure below is uniform and the directions each face are as…

A: (5)  (a)            ϕnet=ϕ1 +ϕ2 +ϕ3 + ϕ4 +ϕ5 + ϕ6we know that the flux is given by ϕ = E.Awhere E is…

Q: An electric field of magnitude 4.44 kN/C is applied along the x axis. Calculate the electric flux…

A: Given data- electric field magnitude E=4.44 kN/C is applied along x axis. A rectangular plate 0.350…

Q: QUESTION 3 Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is…

A: Answer: The correct answer is option d) The flux does not depend on the position of the charge as…

Q: An insulating sphere of radius R = 2 mm has a net charge Q = 33 pC- A concentric Gaussian sphere S…

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Q: +X, to positive infinity. The line carries positive charge with a uniform linear charge density Ao.…

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Q: A uniformly charged conducting sphere of 1.2m diameter has a surface charge density of 1.8µC/m?.…

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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: The electric field everywhere on the surface of a thin, spherical shell of radius 0.780 m is of…

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Q: A Gaussian surface in the form of a hemisphere of radius R = 5.84 cm lies in a uniform electric…

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Q: The figure below shows two concentric spheres. The one shaded by yellow is a conductor, while the…

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Q: A point charge is located at the origin. Centered along the x axis is a cylindrical closed surface…

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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 charge Q at the origin of3-dimensional coordinate system. The flux of the electric field…

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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.