The Electric Flux and Gauss’ Law A flat sheet of paper of area 0.250 m2 is oriented so that the normal to the sheet is at an angle of 60° to a uniform electric field of magnitude 14 N/C. A) Find the magnitude of the electric flux through the sheet. B) Does the answer to part (A) depend on the shape of the sheet? Why or why not? C) For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet (i) largest and (ii) smallest?

Q: A cylinder is placed with its long side parallel to the electric fields from a vertical circle. The…

A: Here, a figure is given, showing a cylinder. Magnitude of electric field =60 N/C Radius of flat ends…

Q: Consider an imaginary box with dimensions 15 cm × 45 cm × 95 cm. There is an E- field with a uniform…

A: Given data: Electric field through the left side of the box, E1=850 N/C Electric Field through the…

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

A: Given, Electric field,E=3.5 kN/C=3500 N/C Dimensions of plane,A=0.35×0.7=0.245 m2 Angle between area…

Q: Consider a closed triangular prism box with height = h and base = 2a resting within a uniform…

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Q: Consider a thin, spherical shell of radius R and total charge Q. a) Use Gauss’ law to calculate the…

A: According to Gauss's law the electric flux through any closed surface is proportional to the total…

Q: A toblerone lies on a table when an electric field of 50N/C passes it through its triangular…

A: Part A: The flux through the triangular surface is given by: Substitute the required values and…

Q: A butterfiy net (as shown in the figure) is in a uniform electric field of magnitude E = 3 mV/m. The…

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Q: Find the total electric flux over the horizontal cylinder of base area A. The electric field is…

A: Given Data: Base area→A Inward field, E1=150 N/C Outward field, E2=150 N/C Say, Inward flux→ϕ1…

Q: 10. Gauss's law asserts that the electric flux through any closed surface is proportional to the…

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Q: A charge emanates an electric field of 112 N/C. If this field is placed on a circular surface with a…

A: Electric field (E) = 112 NCradius (r) = 38 μm angle made by electric field with the surface (θ) = 84…

Q: A butterfly net (as shown in the figure) is in a uniform electric field of magnitude E = 6 mV/m. The…

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Q: A thundercloud produces a vertical electric field of magnitude 28.0 kN/C at ground level. You hold a…

A: The flux through a surface is given as the scalar product of electric field vector and area vector.…

Q: 2. (a) Explain briefly the advantages of Gauss’s law over Coulomb’s law for the calculation of the…

A: (a) Gauss law can be applied for any type of charge distribution whereas Coulomb's law is applicable…

Q: Q2: Answer only one (a) In Figure below, consider a plane surface in a uniform electric field, where…

A: Given :θ = 700we know 1 meter = 100 cmd = 15 cm d=15100 meter d= 0.15 meterNet flux through the…

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

A: Given that: E=70 kN/C

Q: Ch24-kh1-2. [E]The total electric flux through a closed spherical (diameter 0.20 m) surface is equal…

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Q: A charge emanates an electric field of 7 n N/C. If this field is placed on a rhombus surface that…

A: Given Data: The electric field is, E = 7 nN/C. The length of the side of the rhombus is, b = 5 mm.…

Q: 8. A flat sheet of paper of area 0.250 m2 is oriented so that the normal to the sheet is at an angle…

A: CONCEPT:

Q: 2. A long straight wire is surrounded by a hollow cylinder whose axis coincides with that wire as…

A: Imagine a Gaussian cylinder of length L whose curved surface is in between the inner and outer…

Q: Gauss's Law and Electric Field: A long cylinder carries a charge density that is proportional to the…

A: Given: The charge density of the cylinder is proportional to the distance from the axis. ρ=ks  Here,…

Q: How does the electric field enclosing a given charge vary when the area enclosed by the charged is…

A: Let  E is the electric field due to charge Q  A is the area enclosed by the charge  And electric…

Q: The Electric Flux and Gauss’ Law A flat sheet is in the shape of a rectangle with sides of lengths…

A: Given that, E=75.0 N/C, l=0.400 m, b=0.600 m⇒Area=0.24 m2θ=900-200=700

Q: A box that is in triangular shape is kept in an electric field of magnitude E = 2 × 103 N /C-1 as…

A: The electric flux is given by  ϕ = E A cosθ where, E is the electric field vector , A is the area…

Q: 3. A thin insulating rod is bent into a semicircular arc of radius a, and a total electric charge Q…

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Q: II. Electric Flux and Gauss's Law 1. A circular plane whose r=2.2m is placed in an electric field…

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Q: 2. Total charge Q is uniformly distributed over a conducting spherical surface (not a volume charge…

A: Total charge 'Q' is uniformly distributed over a conducting spherical surface of radius R. If the…

Q: A butterfly net (as shown in the figure) is in a uniform electric field of magnitude E = 2 mV/m. The…

A:

Q: A butterfly net (as shown in the figure) is in a uniform electric field of magnitude E = 6 mV/m. %3D…

A: Given  The uniform electric field is E = 6mV/m = 6x 10-3 V/m.  The radius of rim is a = 12 cm = 12 x…

Q: Define uniform and non-uniform electric flux passing through a closed surface. (a) Explain Gauss's…

A: We have to find Define uniform and non-uniform electric flux passing through a closed surface and…

Q: QUESTION 5 Which of the following statements in regard to electric flux is not true? a. The electric…

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Q: Consider an imaginary box with dimensions 15 cm × 45 cm × 95 cm. There is an E- field with a uniform…

A: Given data: Electric fields are given, E1 = 850 N/C E2 = 550 N/C The dimension of the box is, 15 cm…

Q: A. Gauss's Law 1) The three small spheres shown in the figure below carry charges q, = 4.00 nC, q2…

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Q: A butterfly net (as shown in the figure) is in a uniform electric field of magnitude E = 8 mV/m. The…

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Q: A butterfly net (as shown in the figure) is in a uniform electric field of magnitude E = 2 mV/m. The…

A: Solution     Given data         E = 2mV/m        a = 0.19m

Q: 3. A long conducting metal cylinder of radius a is surrounded by a conducting metal thin-shelled…

A: a. From Gauss law, the formula for the electric flux through Gaussian surface is: Also, the formula…

Q: A thundercloud produces a vertical electric field of magnitude 28.0 kN/C at ground level. You hold a…

A:

Q: A butterfly net (as shown in the figure) is in a uniform electric field of magnitude E = 2 mVím. The…

A: Solution

Q: 9. A flat sheet is in the shape of a rectangle with sides of lengths 0.400 m and 0.600 m. The sheet…

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Q: Part A The total electric flux from a cubical box 12.0 cm on a side is 1590 N-m? /C. What charge is…

A: Given Flux from the cube = 1590 Nm2/C

Q: 3. A solid conducting sphere of radius a, has a net charge Q as shown in the figure below. Using…

A: Initially note that the charge dispersion on both the sphere and the shell are distinguished by…

Q: 2. Using the Gauss's Law to prove the following (a) Any excess charge placed on a conductor on its…

A: Gauss Law states that the entire electric flux out of a eddy surface is similar to the charge…

Q: 19. What will happen to the electric flux if the electric field is parallel with the normal line?…

A: Flux = E.A = EAcosϴ   , where ϴ is the angle between electric field and the area vector (normal…

Q: A flat sheet is in the shape of a rectangle with sides of lengths 0.400 m and 0.600 m. The sheet is…

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Q: 1. Fantasy. A thundercloud produces a vertical electric field of magnitude 28.0 kN/C at ground…

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Q: A thundercloud produces a vertical electric field of magnitude 2800N/C at ground level. You hold…

A: Given: The electric field is 2800 N/C vertically downward. The size of the sheet is 22.0 cm×28.0 cm

Q: 3. GAUSS'S LAW A uniform electric field with a magnitude of 1.25x10° N/C passes through a rectangle…

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Q: 2. The drawing shows an edge-on view of two planar surfaces that intersect and are mutually…

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Q: A flat sheet of paper of area 0.250 m 2 is oriented so that the normal to the sheet is at an angle…

A: Given data The area of the paper is given as A = 0.250 m2. The angle is given as θ=60°. The…

Q: student measures the electric flux through a closed spherical surface of volume V to be X. She then…

A: electric flux only depends on charge enclosed

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.