Tes ees e e 20 S2 Consider the three charges and the four Gaussian surfaces shown in the image above. Two of the Gaussian surfaces have the same amount of electric flux passing through them. Identify these two surfaces (S1, S2, S3, or S4), then explain your reasoning.

Q: Two infinitely long, parallel lines of charge with linear charge densities 6.2 µC/m and -6.2 µC/m…

A: The electric field due to infinitely long wire having charge density λ at a distance r form it  E→ =…

Q: A hollow ball with radius R = 2 cm has a charge of -2 nC spread uniformly over its surface (see the…

A: Given Data:The radius of the hollow ball is r=2 cm.The charge on the hollow ball is Q=−2 nC.The…

Q: Assume a uniformly charged ring of radius R and charge Q produces an electric field Eing at a point…

A: Electric field =KQr2 Here we see that electric field α1r2 Which shows that closer charge…

Q: Charge Q is uniformly distributed along a thin, flexible rod of length L. The rod is then bent into…

A: To find the expression for the electric field  at the center of the semicircle, we can break down…

Q: Calculate the electric field (in full vector form) at the center of a half ring of charge of radius…

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Q: The figure below shows a very thin, very long, straight rod with a uniform charge per unit length of…

A: Given data, A uniform charge per unit length is λ The perpendicular distance between the wire and…

Q: Two infinitely long, parallel lines of charge with linear charge densities 1.2 µC/m and -1.2 µC/m…

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Q: The field due to two parallel plates, the left with a negative surface charge density of -6.0 C/m2…

A: Given: density on left plate, σ1 = −6.0 C/m2density on right plate, σ2 = 9.0 C/m2distance between…

Q: The infinite sheets (non conducting) in the figure below are both positively charged. The sheet on…

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Q: 1. A uniformly charged annulus of total charge Q has inner radius a and outer radius b, and it is…

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Q: Two infinitely long, parallel lines of charge with linear charge densities 2.9 µC/m and -2.9 µC/m…

A: Linear charge density;λ1=+2.9μC= +2.9×10-6 Cλ2=-2.9μC= -2.9×10-6 C

Q: Four thin spherical shells with radii R₁ = 3.00 cm, R2 = 5.00 cm, R3 = 7.00 cm, and R4 = 9.00 cm are…

A: Four thin spherical shells with radii R1 = 3.00 cm,   R2 = 5.00 cm, R3 = 7.00 cm, and R4 = 9.00 cm…

Q: d) What are the charges on the inner surfaces of the slabs? e) You should have found that the…

A: d) Both the charges are equal and opposite in the inner surface.

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

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Q: Consider the symmetrically arranged charges in the figure, in which qa = q = -3.75 µC and 9, 9c = 9d…

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Q: A solid conducting shell with inner radius a and outer radius b has a total charge of 2Q. At the…

A: Given, total charge on the shell is, q = 2Q point charge at the center is, qp = -Q Inner radius of…

Q: An electric charge Q = 2.1 nC is distributed uniformly throughout a nonconducting sphere of radius r…

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Q: Three stationary point charges with charge Q₁-Q= 2Q, Q = 3Q are each at a distance d = 5 cm apart.…

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Q: Consider a cube of side a with 8 charges (4 with charge +e and 4 with charge -e) at the 8 corners.…

A: Electrostatic potential energy:The electrostatic potential energy between a pair of two charges  and…

Q: (b) Use Gauss's Law to calculate the magnitude of the electric field E(r) at a distance r <R from…

A: b. To calculate electric field from Gauss Law From Gauss Law we have  ∮E.ds= Qenclosedε0where…

Q: A positively charged disk of radius R and total charge Qdisk lies in the xz plane, centered on the y…

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Q: At a particular moment, one negative and two positive charges are located as shown in the figure.…

A: Given that: Q1=3 μC=3×10-6 CQ2=8 μC=8×10-6 CQ3=-2 μC=-2×10-6 C

Q: The colored regions in the figure below represent four three-dimensional Gaussian surfaces A through…

A: The electrostatic flux through a closed surface enclosing a charge Qenc is given…

Q: In the figure above the three particles are fixed in place and have charges 91, 92, and q3 with q₁ =…

A: Given data-  the three particles are fixed in place and have charges q1, q2, and q3 with q1=q2  The…

Q: Two tiny objects with equal charges of 8.15 µC are placed at the two lower corners of a square with…

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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.