A charge of 87.6 pCpC is uniformly distributed on the surface of a thin sheet of insulating material that has a total area of 47.2 cm2cm2. A Gaussian surface encloses a portion of the sheet of charge. If the flux through the Gaussian surface is 5.70 N⋅m2/CN⋅m2/C, what area of the sheet is enclosed by the Gaussian surface?

Q: A square conducting plate 54.0 cm on a side and with no net charge is placed in a region, where…

A: Given, Side of the square plate, x = 54.0 cmuniform electric field in the region, E = 77.0 kNC

Q: Consider the uniform electric field E = (2.09 + 9.0k) x 103 N/C. What is its electric flux (in…

A: Given that :Electric field vector Radius of the circular area

Q: A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit…

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Q: A solid spherical non-conductor of radius 14.5 cm has a uniform charge density of ρ = 3.70 µC/m3.…

A:

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

A: Given: The charge distributed on surface is q=87.6 pC. The area of insulating material is A=29.2…

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

A:

Q: When a piece of cardboard is held with its face perpendicular to a uniform electric field, the flux…

A:

Q: ind the flux passing through the surface y = 3, -1 < x < 2, 1 < z < 4 given the electric field…

A: Given: The electric field vector is given as E→ = 8x a^x + 3y2z  a^y + y3 a^z The flux passing…

Q: A 45.0-cm-diameter circular loop is rotated in a uniform electric field until the position of…

A: Diameter,  d = 0.45 mRadius, r = d2 = 0.225 mMaximum flux, ϕmax = 5.94×105 N.m2/C Electric field, E…

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

A: The expression for the electric flux is given by, ϕE=EAcosθ Here, E is the electric field, A is the…

Q: Why Displacement is a vector quantity?

A: Any quantity will be a vector quantity when that quantity will have both magnitude and direction.…

Q: A square conducting plate 46.0 cm on a side and with no net charge is placed in a region, where…

A:

Q: charge Spr The flux at the surface of a Gaussian sphere of radius (5.95x10^1) cm is (3.695x10^3)…

A:

Q: Find the flux passing through the surface y = 3, -1 < x < 2, 1 < z < 4 given the electric field…

A: We have a surface given by y=3, -1&lt;x&lt;2, 1&lt;z&lt;4 from which an electric field vector…

Q: A square conducting plate 48.0 cm on a side and with no net charge is placed in a region, where…

A:

Q: A uniformly charged wire produces an electric field E = (5.60 N/(C · m2))r2r̂. Consider a closed…

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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: A charge of 24.4 pC is distributed uniformly on a spherical surface (r1 = 2.0 cm), and a second…

A: Given data *The given charge is q1 = 24.4 pC = 24.4 × 10-12 C *The second charge is q2 = -8.6 pC =…

Q: The flux through a closed surface is ¢ = (2.54x10^3) N.m²/C. Calculate the charge in Coulombs…

A: Given: The flux through the closed surface is ϕ=2.54×103 Nm2C. The permittivity of the medium is…

Q: Consider a hemisphere of 5 cm radius that contains a total charge of 7 x 10-7 C. The flux through…

A: Concept: To determine Flux through the Flat base of the sphere, we will calculate the Total Flux on…

Q: A point charge is surrounded by a Gaussian Sphere, with the charge at the centre. The flux at the…

A: Given, Charge enclosed by the gaussian surface is Qen Flux passing through the gaussian surface is…

Q: A flat sheet is in the shape of a rectangle with sides of lengths 0.450 m and 0.675 m. The sheet is…

A:

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: A uniform electric field of magnitude E = 435 N/C makes an angle of θ = 65.0° with a plane surface…

A: Given,

Q: A charge of 1.03 x 102 µC is at the center of a cube of edge 61.0 cm. No other charges are nearby.…

A:

Q: hich of the following statements about flux are true? The unit of flux is Vm²/C When turning a…

A:

Q: A uniform electric field with a magnitude of 1.25x105 N/C passes through a rectangle with sides of…

A:

Q: A net flux of 6.75×10^4 N⋅m2 passes inward through the surface of a sphere of radius 5.25 cm. What…

A: Net flux permitivity of free space

Q: When a piece of paper is held with one face perpendicular to a uniform electric field the flux…

A: Recall ϕ=electric flux=EAcosθ θ is angle between electric field and area vector.

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

A: Given data: The area of the sheet of paper is A=0.250 m2. The angle between the electric field and…

Q: A 50.0-cm-diameter circular loop is rotated in a uniform electric field until the position of…

A:

Q: Consider the uniform electric field E = (3.5 jˆ + 3.5 kˆ) × 103 N/C. A) Calculate the electric flux…

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Q: 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux…

A: Given data: The radius of the sphere R=6.0 cm The radius of the Gaussian sphere r=3.0 cm Electric…

Q: insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed…

A: Magnetic flux is the number of electric lines entering normally through surface

Q: A 1,311kg car is on a flat circular track of radius 41.8m. If the coefficient of static friction is…

A: We know thatVmax=μsRgWhereVmax=maximum speedμs=coefficient of static frictionR=radius of…

Q: A surface has an area of 6 m² and its normal is along the direction of (5,9,5). If there is a…

A:

Q: A 32.0-cm-diameter circular loop is rotated in a uniform electric field until the position of…

A:

Q: Consider the uniform electric field E = (2.5 j + 2.5 k) × 103 N/C. a) Calculate the electric flux…

A: Given: The uniform electric filed E is (2.5 j⏜ + 2.5 k⏜)×103 N/C. The radius of the circular area in…

Q: A 3.7 cm × 4.0 cm rectangle lies in the xy-plane.   What is the electric flux through the rectangle…

A: Given:

Q: A flat sheet of paper of area 0.355 m2 is oriented so that the normal to the sheet is at an angle of…

A: Given: Area of the sheet, A = 0.355 m2 The angle between the normal to the sheet and the electric…

Q: A 32.0-cm-diameter circular loop is rotated in a uniform electric field until the position of…

A: Data provided: Diameter (d) = 32.0 cm = 0.320 m Maximum electric flux (Φ) = 5.44×105 Nm2/C Required:…

Q: Three charges of 3.4, 3.1 and -6.5 nC respectively are surrounded by a Gaussian surface in the shape…

A:

Q: A vertical electric field of magnitude 2e4 N/C exists above the earth's surface on a day when a…

A:

Q: Assume the magnitude of the electric field on each face of the cube of edge L = 1.11 m in the figure…

A: The flux on each surface can be calculated as Where E is the electric field on each face and A is…

Q: 10 N/C 10 N/C 10 N/C 10 N/C The figure shown above displays a cross section of a three-dimensional…

A: As per Gauss law of electrostatics, electric flux through a surface depends in charge enclosed by…

Q: he electric flux (Φ) that passes through this surface

A: we know electric flux ϕ = E·A =EAcosθ where θ= angle between electric field and area vector A = area…

Q: Consider a cylindrical surface in this electric field as shown in the figure. Electric field vector…

A:

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

A: Step1: closely look into the cube (1), we have net Flux = φ1⇒ φ1 = Flux outward - Flux inward⇒ φ1 =…

Q: A Gaussian cylinder contains a uniformly charged rod with a length of e = 4.0cm. If the flux leaving…

A: Length of cylinder ℓ = 4.0 cm  Flux leaving the cylinder is Φ = 1.2 × 106 N.m2/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.