A hemispherical surface with radius r = 12 cm in a region of uniform electric field E = 10 V/m has its axis aligned parallel to the direction of the field. Calculate the flux through the surface.

Q: Find the flux through the top, left, and right sides of a cube of side 0.5 m when placed in a…

A: Side of a cube,(l)=0.5 m ------(1) [Given] Horizontal uniform electric field,(E)=8 N/C ------(2)…

Q: A flat surface of area 8 m^2 is rotated in a uniform electric field of magnitude E=3.20 x10^5 N/C.…

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Q: Consider a cube with edge length Limmersed in a uniform electric field E along the x-direction as…

A: Solution: The expression of electric flux is given by:   ϕE=∫SE→.n^dS; where, E→ is the electric…

Q: Find the electric flux through a rectangular area 3 cm × 2 cm between two parallel plates where…

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Q: The figure shows 4 surfaces with equal surface area placed in a uniform (homogeneous) electric…

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Q: Consider a thin, spherical shell of radius 12.0 cm with a surface charge density OF 0.150 mC/m)…

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Q: A non-uniform electric field having magnitude E = 3xi + 4j (E is in newtons per coulomb and x is in…

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Q: A flat surface of area 8 m^2 is rotated in a uniform electric field of magnitude E=320 N/C. The…

A: Given: The area of the surface is 8 m2.             The magnitude of the uniform electric field is…

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

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Q: In the figure shown, the magnitude of the uniform electric field is °E= 70 kN/C. Calculate the…

A: The electric flux Ø (in Nm2/C) , is given by                                    Ø = E.A…

Q: If the electric field is given by 6i+3j+4k calculate the electric flux through a surface of area 20…

A: We need to calculate the electric flux through a surface lying in y-z plane.

Q: d P

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Q: A constant electric field E = 100 i i is present throughout a region of space that includes the…

A: Electric flux is given by, ϕ= EA cosθE= magnitude of electric fieldA= area of the surfaceθ=angle…

Q: What is the electric field INSIDE a spherical shell conductor of radius 'R' with charge +Q .

A: Charge is distributed on the surface of spherical shell of radius R.

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: An electric charge Q is distributed uniformly along a thick and enormously long conducting wire with…

A: An electric charge Q is distributed uniformly along a thick and enormous long conducting wire with…

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

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Q: A hemispherical surface of radius R is in a constant electric field E directed perpendicular to the…

A: Answer Given Hemispherical surface has radius R and E is the constant electric field. The total…

Q: If a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributed…

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Q: If the electric field just outside a thin conducting sheet is equal to 1.5 N/C, determine the…

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Q: Show that the electric flux for a 5.00 m² rectangular plane in a 10.0 N/C electric field at an angle…

A: Let A denotes the rectangular plane’s area, E denotes the electric field, θ1 denotes the angle of…

Q: . A hemispherical surface with radius r= 12 cm in a region of uniform electric field E = 10 V/m has…

A: Electric flux is the number of net electric lines through surface area. Electric flux = E̅•A̅

Q: A conductor in the shape of a cube is placed in a region of space where there is a uniform electric…

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Q: The figure shows a sphere carrying a uniformly distributed volume charge Q. Three Gaussian surfaces…

A: The gaussian surfaces, which are concentric are shown in the figure.

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

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Q: Find the electric flux ( in units of N.m2/C) through the surface of the rectangle ( 30 cm x 40 cm)…

A: Given- Electric field E=277.9 N/CArea A=30 cm×40 cm=.3×.4=0.12 m2

Q: In the solution, the angle θ used in EAcos(θ) is 60 degrees, but since 'the plane of the sheet is at…

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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 uniform electric field measured over a square surface with side length d = 15.5 cm makes an angle…

A: Given:  d = 15.5 cm angle θ = 67.0° Electric flux = 5.40 N m2/C

Q: Find the electric field at a distance h from the center of a ring of radius R, whose linear charge…

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Q: Consider a long, cylindrical charge distribution of radius R with a uniform charge density ρ. Find…

A: Given Data The radius of the cylinder is R. The uniform charge density is given as ρ. The…

Q: In a region of space, there is an electric field E ⃗ E→ that is in the z-direction and that has…

A: It is given that

Q: Suppose the electric field of 5.00 N/C in the z-direction is tilted 60° away from the positive…

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Q: A nonuniform electric field given by 3xî + 4ĵ pierces the Gaussian cube shown in Figure (E is in…

A: Given data: The electric field, E→=3xi⏜+4j⏜. Since the front face of the Gaussian cube is between…

Q: Find the electric flux ( in units of N.m2/C) through the surface of the rectangle ( 30 cm × 40 cm)…

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Q: Which describes the flux of an electric field that is tangent to a section on a closed surface? O…

A: the flux of an electric field that is tangent to a section on a closed surface is zero.  Flux is…

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: In a symmetrical electric field of 58.3 x 10 , a flat circle with a diameter of 30 cm is positioned.…

A: Calculate the area of the circle. A=πD22=π30 cm×10-2 m1 cm22=0.0706 m2 Here, A is the area of the…

Q: Find the electric flux ( in units of N.m?/C) through the surface of the rectangle ( 30 cm × 40 cm)…

A:

Q: Calculate the magnitude of the flux of a constant electric field of 5.00 N/C in the z-direction…

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Q: A proton is enclosed by a closed Gaussian surface. Find the magnitude of the electric flux through…

A: The charge of a proton particle is, q=1.6×10-19 C

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.