A Gaussian surface in the form of a hemisphere of radius R = 5.84 cm lies in a uniform electric field of magnitude E = 2.20 N/C. The surface encloses no net charge. At the (flat) base of the surface, the field is perpendicular to the surface and directed into the surface. (a) What is the flux through the base? ______________N · m2/C(b) What is the flux through the curved portion of the surface? _______________N · m2/C

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

A: Given : Radius of first sphere = R Radius of second sphere = 2R Charge =Q

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

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Q: A concentric hollow insulating spherical shell with inner radius r1=1.54R and outer radius r2=4.45R…

A: Given: In an insulating hollow(concentric) sphere, Inner radii, r1=1.54 R Outer radii, r2=4.45 R At…

Q: Assume the magnitude of the electric field on each face of the cube of edge L=2 m in the figure is…

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Q: A circular surface is in a uniform electric field region with strength of 2.40 N/C. If the surface…

A: Introduction Given information- Magnitude of electric field E = 2.40 N/C Radius of circular surface…

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

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

A: Consider the Gauss's Law that, electric flux formula is, ϕ=qnecε0

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

A: Given: Electric field: E→=4.5i^-4.6(y2+1.3)j^ Length of each cube side: l=0.13 [m] y=0.13 [m] Then,…

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

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Q: The drawing shows an edge-on view of two planar surfaces that intersect and are mutually…

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Q: A uniformly charged, straight filament 6.70 m in length has a total positive charge of 2.00 µC. An…

A: a) Electric field at the surface of cylinder due to a line charge is E=λ2πRεowhere, λ=linear charge…

Q: A uniform electric field measured over a square surface with side length d = 16.0 cm makes an angle…

A: We know electric fluxϕ=E·A=EAcosθ   ----(1) where E= electric field  A = area of surface  θ=angle…

Q: A rectangular surface extends from x = 0 to x = 50.0 cm and from y = 0 to y = 42.0 cm in the xy…

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Q: = 0.295 m and uniform charge density A sphere of radius R1 10.5 µC/m lies at the center of a…

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Q: Suppose three charges: q = 4.00 nC, q, = - 4.00 nC, q3 =2.40 nC are enclosed by five surfaces as…

A: q1 = 4.00 nCq2 = -4.00 nCq3 = 2.40 nC

Q: A cubical Gaussian surface surrounds two charges, q1 = +3.3 10-12 C and q2 = -2.0 10-12 C, as the…

A: Write the given data with suitable variables. q1=3.3×10-12 Cq2=-2×10-12 C Here, q1 denotes the first…

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

A: Magnitude of electric field through the surface Height of the inclination Width of the inclination…

Q: A solid metallic sphere of radius a carries total charge Q. No other charges are nearby. The…

A: Given:

Q: An electric field given by E = 2.6 i – 6.1(y² + 6.2) j pierces the Gaussian cube of edge length 19.0…

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Q: Consider a closed triangular box resting within a horizontal electric field of magnitude E = 7.04 ×…

A: Given , Electric field = 7.04 × 10^4 N/C

Q: A uniformly charged, straight filament 5.00 m in length has a total positive charge of 2.00 µC. An…

A: The length of the filament,   The total positive charge of the filament,   The length of the…

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

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Q: A flat sheet is in the shape of a rectangle with sides of lengths 0.2 m and 1.7 m. The sheet is…

A: Given that Length of the sheet L = 1.7 m Width of the sheet b = 0.2 m Uniform electric field E = 65…

Q: C

A: GivenE=(3.0 j+7.0 k)×103 N/C

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 cubical Gaussian surface surrounds two charges, q1 = +5.3 × 10-12 C and q2 = -2.0 × 10-12 C, as…

A: The total flux through the entire cube is,

Q: 1) A solid insulating sphere of radius a=4.0 cm carries a net positive charge of Q=3.5 µC uniformly…

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Q: Consider the uniform electric field E → = (4.0 j ^ + 3.0k ^ ) × 103 N/C. What is its electric flux…

A: Given data The uniform electric field is: E = (4 j + 3 k) x 103 N/C The radius of the circular area…

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

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Q: A circular surface with a radius of 0.066 m is exposed to a uniform electric field of magnitude 1.90…

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Q: The figure shows three situations in which a Gaussian cube sits in an electric field. The arrows and…

A: Net flux through cube in these situations can be calculated by using formula --- Net flux =  Outward…

Q: The cube in the figure has edge length 1.87 m and is oriented as shown in a region of uniform…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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: 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: A circular surface with a radius of 0.062 m is exposed to a uniform electric field of magnitude 1.58…

A: Radius of circular surface (R) = 0.062 m Area of circular surface (A) = π(R)2 = π×(0.062)2 =…

Q: A circular surface is in a uniform electric field region with strength of 3.70 N/C. If the surface…

A: Given  electric field (E)=3.7 N/C radius(r)=4 m angle=π/4 flux=?

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: The electric flux through a Gaussian surface enclosing an unknown charge is 100 N?m^2/C. What is the…

A: Given, Electric Flux = 100 N m2/C

Q: (a) Using reasonable approximations, find the electric field at the surface of the cylinder.…

A: Given Data: The length of a straight filament is, l=8.00 m The total positive charge is, q=2.00 µC…

Q: A flat sheet of paper is cut into an equilateral hexagon that is oriented so that the normal to the…

A: Given: The angle is 60 degrees. The magnitude of the electric field is 14 MN/C. The length of line…

Q: The rectangular surface in the figure below is in a uniform electric field region with strength of…

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

A: Given:-  A cube is shown in the figure   a cube with edge length L immersed in a uniform electric…

Q: Consider a closed triangular box resting within a horizontal electric field of magnitude E = 7.14 x…

A: Given data electric field is E=7.14×104 N/C Unknowns: Find the electric flux on each case.

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.