Four charges are placed in three-dimensional space. The charges have magnitudes +3q, -q, +2q, and -7q (q=2 C). If a Gaussian surface encloses all the charges, what will be the electric flux through that surface?

Q: Inside a spherical surface is a 21.2 x10°C and a -8.8 x106 c charge. What is the total electric flux…

A: Given  Charges are      q1=21.1×10-6 Cq2=-8.80×10-6 C Find the electric flux through the sphere.

Q: A spherical conductor (radius = 1.0 cm) with a charge of 4.0 pC is within a concentric hollow…

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Q: A solid non-conducting sphere has a radius of 3.4 m. The charge on the sphere is uniformly…

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Q: A solid sphere of radius 40.0 cm has a total positive charge of 26µC uniformly distributed…

A: Given: The radius of the sphere is 40 cm. The charge on the sphere is 26 μC. The distance of the…

Q: Four small spheres shown in the figure below have charges of q₁ = -3.00 nC, q2 = 2.40 nC, q3= 5.30…

A: Given: Charges q1=-3 nC, q2=2.40 nC, q3=5.30 nC, q4=-1.80 nC Required: Net electric flux through…

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: A charge q = 17€0 µC is a distance d/2 directly above the center of a square of side d. What is the…

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Q: The figure below shows nine point charges that lie in the same plane. Four Gaussian surfaces each…

A: The figure shows 9 point charges that lie in the same plane. There are 4 gaussian surface. We need…

Q: A charge +Q is sitting at the origin (0,0,0). A closed sphere with a radius R surrounds the charge.…

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Q: In the figure a butterfly net is in a uniform electric field of magnitude E = 3.7 mN/C. The rim, a…

A: Given data:  Electric field (E) = 3.7 mN/C = 3.7 × 10-3 N/C Radius (r) = 6.1 cm = 6.1 × 10-2 m Net…

Q: An infinite plane carries a uniform charge of 1.9 µC. If the area of the Gaussian surface is 39 cm²,…

A: charge (q) = 1.9μCArea of gaussian surface (A) = 39 cm2= 0.0039 m2

Q: The figure shows a closed Gaussian surface in the shape of a cube of edge length 1.8 m, with one…

A: Since electric field in x direction is constant so flux through front and back side of cube will…

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: Given the two charged particles shown in the figure below, find the electric field at the origin.…

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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: A Gaussian surface encloses a charge Q in vacuum. The electric flux through the surface is 3.0 x 106…

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Q: Shown in the figure are gaussian surfaces ( S1, S2, and S3) and three point charges. Which of the…

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Q: A charge of  −25 µC is distributed uniformly over the surface of a spherical conductor of radius…

A: (a)The radius of the spherical conductor is 13.0cm. At a distance 7.0cm from the center of the…

Q: A solid sphere of radius 40.0 cm has a total positive charge of 16.0 µC uniformly distributed…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The three small spheres shown carry charges q1 = 4.00 nC, q2 = -7.80 nC, and q3 = 2.40 nC. Find the…

A: Since you have asked multiple subparts, we will solve the first three for you. If you want a…

Q: A charge of 22.2 pC is distributed uniformly on a spherical surface (r1 3 2.0 cm), and a second…

A: The given values are, q1=22.2 pC=22.2×10-12 Cr1=2.0 cm=2.0×10-2 mq2=-9.2 pC=-9.2×10-12 Cr2=4.0…

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: A solid non-conducting sphere of radius 3 cm has a charge of +24 micro(u)C. A conducting spherical…

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

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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: 10. Charges of 3.00 nC, -2.00 nC, -7.00 nC, and 1.00 nC are contained inside a rectangular box with…

A: Given :Charge inside box=3.00nc, -2.00nc, -7.011nc,1.00nc outside box=1.00nc, 4.00nc

Q: Inside a spherical surface is a 2.65 x10-6C and a -1.1 x10-6 C charge. What is the total electric…

A: Let the charges on the sphere are q1 and q2. Evaluate the net charge (Q) inside the sphere.

Q: A solid conducting sphere of radius 2.00 cm has a charge of 8.82 µC. A conducting spherical shell of…

A: Given: The radius of the solid conducting sphere is 2.00 cm. The charge on the solid conducting…

Q: Four small spheres shown in the figure below have charges of q1 = −3.00 nC, q2 = 2.40 nC, q3 = 5.30…

A: According to the Gauss's theorem,  The net flux is given by  ϕ = qenclosedεo

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: Assume the magnitude or the the figure below is uniform and the directions each face are as…

A: (5)  (a)            ϕnet=ϕ1 +ϕ2 +ϕ3 + ϕ4 +ϕ5 + ϕ6we know that the flux is given by ϕ = E.Awhere E is…

Q: A hemisphere of radius r = 10cm is placed in a uniform electric field that forms an angle of 50°…

A: Radius of hemisphere (r) = 10 cm Angle (θ) = 50oMagnitude of electric field (E) = 200 NCθ =…

Q: A uniformly charged disk with charge Q is shown below. What is the magnitude of the electric field…

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Q: A non-uniform electric field directed along the x-axis penetrates a cubical surface oriented as…

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Q: A particle with charge 5.0 µC is placed at the corner of a cube. The total electric flux through all…

A: Given : q = 5 μC = 5 × 10-6 C

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: What is the magnitude of the electric flux on the surface of a Gaussian sphere with a total charge…

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Q: Assume the magnitude of the electric field on each face of the cube of edge L = 1.08 m in the figure…

A: Electric flux describes the number of electric field lines crossing a specified area. The larger…

Q: Consider three charges: q1 = -24 µC on x axis at = 3 cm, 92 = 8 µC on y axis at y = 4 cm, and q3 = 9…

A: Recall E=kq/r2 For Ey the y component of field, field due to charges on x-axis will be along X-axis…

Q: 25.0 N/C 20.0 N/C. 20.0 N/C 35.0 N/C 20.0 N/C 15.0 N/C Assume the magnitude of the electric field on…

A: Data Given ,  Side of the cube ( L ) = 10.62 m  From the given figure ,  The direction of Electric…

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: Three point charges are located near a spherical Gaussian surface of radius 14.5 cm. One charge (+3Q…

A: Chrages present outside the sphere = +Q , +QRadius of the sphere (R) = 14.5 cm charge placed inside…

Q: A 10 x 10 C point charge is located at the center of a cube of side length 3 m. What is the electric…

A: Given: Point charge Q = 10×10-9 C εo=8.85×10-12 C2Nm2 Side length of cube a = 3 m.

Q: On a Cartesian plane, charge Q1 of magnitude 6.0 µC is placed at point P1 (2, 0) m, while another…

A: Q1 = 6 µC is placed at P1 (2, 0) m Q2 =  – 18 µC is placed at P2 (0, 3) m

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

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Q: Q3 25.0 N/C 20.0 N/C. Assume the magnitude of the electric field on each face of the cube of edge L…

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Q: S2 4. Four small spheres shown in the figure below have charges of q1 = -3.00 nC, q2 = 2.40 nC, q3 =…

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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.