An electric field Ē = ax²î exists in a region. Total electric flux through a sphere of radius R centered at origin is 3 naR 2naRS (a) naR (d) 5 5

Q: Consider a plane surface in a uniform electric field as in the Figure , where  d=15 cm and Theta=70…

A: Given Data : The net flux through the surface is given as ϕ=6 N.m2C. The angle of the electric field…

Q: An electric field of 600N/C makes an angle of 20.00 with the surface vector, which has a magnitude…

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Q: si 25nC 2pC S2 S4 3pC 5nC inC 3pC 10nC 5 %24

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Q: A solid conducting sphere, which has a charge Q1 -28Q and radius ra-2.2R is placed inside a very…

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Q: An electric field Ẽ = Bzk exists in space. Total electric flux through a sphere of radius R centered…

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Q: 2. Calculate the electric flux in each surface: -10.0 uC +3.0 µC +1.0 µC +7.0 µC -8.0 uC

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Q: An electric field (E=4.5N/C) passes through a flat surface area (0.30 m) with an angle of 45°. What…

A: Given:- E = 4.5N/C flat surface area = 0.30 m angle θ = 45o . electric flux = E * S * cos θ N M2 C-1…

Q: A sphere of radius R lies in a region where electric field is Ë = xỉ + yŷ + zk, total electric flux…

A: Given data: The electric field is E→=xi^+yj^+zk^.

Q: A long thin conducting wire that carries a uniform linear charge density A=41.8 nC/m passes through…

A: Given data: Linear charge density (λ) = 41.8 nC/m Length of cylinder (L) = 0.19 m Required: The net…

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: 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: An electric field Ē = axî + By txzk exists, in space where.a, B.Y are constant. Electric flux…

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Q: A hemisphere with a circular base contains a total charge of 232 pC; it has a radius of 3.29 cm. If…

A: Write the expression for the net flux and substitute the required values.

Q: A square surface of area 9 cm2 is in a space of uniform electric field of magnitude 104 N/C . The…

A: Given: surface area (A) = 9 cm2. = 9×10-4 m2. the magnitude of the electric field (E) = 104 N/C.

Q: If we assume that there is an electric field in the form of E=2zk, which of the following gives the…

A: The plane surface in XY plane will give region for total electric flux passing through the whole…

Q: It is found that there is a net electric flux of 1.5 × 104 N ⋅ m2/C inward through a spherical…

A: Net electric flux,

Q: Compute for the magnitude of electric flux if the electric field whose magnitude is 5.25 N/C is…

A: Area of the rectangular surface, A = 6 m X 12 m…

Q: 15.7c   Consider a closed triangular box resting within a horizontal electric field of magnitude E =…

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Q: A 4.0 cm^2 in the x-y plane sits in aunifo electric field E=(2.0i+3.0j+5.0k)N/C. Find the electric…

A: Given: Area of the square in x-y plane, A = 4.0 cm2. Electric field, E = (2.0i+3.0j+5.0k) N/C.   To…

Q: An electric field (E=4.5N/C) passes through a flat surface area (0.30 m) with an angle of 45˚. What…

A: The electric flux is the number of electric field lines crossing through a given area. The electric…

Q: The total electric flux through a closed cylindrical (length = 1.2 m, diameter = 0.20 m) surface is…

A: Given      Electric flux ∅=-5.0 Nm2/C     Closed cyclinder length l=1.2 m     diameter d=0.20 m

Q: If the electric flux through a sphere is 10.0 Nm^2/C, what is the electric flux through a sphere of…

A: Given: The electric flux through a sphere is ϕ1=10.0 Nm2/C,

Q: An electric field of magnitude 3.27 kN/C is applied along the x axis. Calculate the electric flux…

A: Solution: Given that,                  electric field = 3.27 kN/C            rectangular area =…

Q: A uniform electric field with a magnitude of 650 N/C incident on a plane circular surface of area of…

A: Given: The strength of the electric field is 650 N/C. The radius of the circular shape is 35 cm =…

Q: A square surface of area 2cm2 is in a space of uniform electric field of magnitude 10 N/C. The…

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Q: Calculate the flux through a square plate 1.0 m on a side inclined at 120° with respect to a…

A: Given that, Electric field = 100 N/C Inclined angle = 120° Side of plate = 1.0 m

Q: A pyramid with horizontal square base, 6.00 m on each side, and a height of 4.00 m is placed in a…

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Q: 30N/C Q.2) The directions of the electric fields on the face of the cube are 40N/C shown in figure.…

A: Net flux through the cube = 1 Nm2/c Net charge in cube q = 8.85 × 10 -12 C

Q: Charges q1 and q2 are placed on the y-axis at y = 0 and y = 25.1 m, respectively. If q1 = −46.8 pC…

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Q: An electric field of magnitude 4.33 kN/C is applied along the x axis. Calculate the electric flux…

A: For a uniform electric field passing through a plane surface,ϕE​=E⋅A=EAcosθ, where θ is the angle…

Q: A constant electric field of magnitude Eo points in the direction of the positive z-axis. What is…

A: The net flux through the cube depends on the field lines entering through a surface and leaving the…

Q: A 3.65x1012 Cis placed inside a cube. What is the amount of electric flux passing through each side?…

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Q: A surface of area 7.5cm2 is rotated in a uniform electric field of 9.3x10° N/C. If the electric…

A: Given :  A = 7.5 cm2 = 7.5 × 10-4 m2 E = 9.3 × 105 N/C θ = 90° (because electric field is parallel…

Q: A disk of radius 0.10 m is oriented with its normal unit vector îî at 30° to a uniform electric…

A: Radius of the disk r=0.1 m, magnitude of the uniform electric field E=2*103N/C and angle the area…

Q: A square surface of area 2.3 cm2 is in a space of uniform electric field of magnitude 1800 NC. The…

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Q: An electric fieldĒ =aî+Bj +yk exists in space, where a, B. y are constants. Magnitude of electric…

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Q: An electric field of strength 450 N/C is pointing in the positive x-direction. What would be the…

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Q: Calculate the electric flux for each of the following sets of variables. (a) E = 10.5 x 1013 N/C (b)…

A: Given: Electric field, E = 10.5 x 1013 N/C. Virtual surface area, A = 2.6 x 10-5 m2. Angle, θ = 84o.…

Q: A solid conducting cylinder, which has a charge Q1 =26Q and radius ra = 1.2R is placed inside a very…

A: Recall Gauss's law EA=Qenc/ε0 Using this law we have.

Q: 5. An electric field (E=6.2N/C) passes through a flat surface area (0.50m²) with an angle of 60°.…

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Q: What is the value of electric flux (Φ) through a plane of area 2 m2 on which an electric field of 2…

A: The expression for electric flux is, ϕ=EAcosθ                  (I)…

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: Consider the uniform electric field E = (3.0ĵ + 7.0k) × 103 N/C. What is its electric flux (in N -…

A: Given:- The uniform electric fieldE→= 3.0 j^+7.0 K^×103 N/C  The circular area of radius of 5 m…

Q: A uniform electric field 98 x 103 N/C passes through a circular surface of radius 12.2 cm as shown…

A: The formula for the electric flux is: From the diagram, the angle between the area vector and the…

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.