Suppose a point charge is located at the center of a spherical surface. The electric field at the surface of the sphere and the total flux through the sphere are determined. Now the radius of the sphere is halved. What happens to the flux through the sphere and the magnitude of the electric field at the surface of the sphere? (a) The flux and field both increase. (b) The flux and field both decrease. (c) The flux increases, and the field decreases. (d) The flux decreases, and the field increases. (e) The flux remains the same, and the field increases. (f) The flux decreases, and the field remains the same.

Q: Consider a closed surface S fully enclosing the point charge Q. Which of the following is true about…

A: Given Point Charge Q is fully enclosed by the surface S. We have to choose the correct option from…

Q: . Find the electric field : a. at a point outside the shell and  b. at a point inside the shell.

A: According to the gauss law, Electric field field enclosed by a gaussian surface is…

Q: According to Gauss’ law, when a long rod or wire is charged with a uniform linear charge density,…

A: Given: A long straight wire linearly charged r is distance between wire and gaussian surface

Q: The figure shows 4 surfaces with equal surface area placed in a uniform (homogeneous) electric…

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Q: A point charge is located at the center of a thin spherical conducting shell of inner and outer…

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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: Assume the magnitude of the electric field on each face of the cube of edge L = 1.03 m in the figure…

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Q: A solid conducting sphere of radius 2.00 cm has a charge of 7.80 µC. A conducting spherical shell of…

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

Q: A student has made the statement that the electric flux through one half of a Gaussian surface is…

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Q: Find the net charge enclosed in a cube 4m on an edge, parallel to the axes and centered at the…

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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 solid ball has a radius of 2.50 cm and a charge of 6.68 μC.  If instead the ball is made from a…

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Q: A charge of 29.4 pC is distributed uniformly on a spherical surface (r = 2.0 cm), and a second…

A: Given : q=29.4 pC r=2 cm=0.02 m Q=-8.7 pC R= 4 cm=0.04 m We have to find the magnitude of electric…

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: Two thin spherical shells, one of radius R and the other with radius 2R, surround on an isolated…

A: Gauss law: The total of electric flux out of a closed surface is equal to the charge enclosed…

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: A student has made the statement that the electric flux through one half of a Gaussian surface is…

A: answer:) option(c)

Q: A positive charge is placed at the origin. Three concentric spheres of different radii are centered…

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Q: A solid conducting sphere of radius 2.00 cm has a charge of 8.00 μC. A conducting spherical shell of…

A: a. at r = 1.00cm, the electric field is zero, because the net charge inside the conducting sphere is…

Q: A cylindrical shell with an inner and outer radius of R1 and R2, respectively, is charged uniformly…

A: We have, radii=R1 , R2 and Volume charge density is ρ C/m3

Q: In the figure a solid sphere of radius a = 3.20 cm is concentric with a spherical conducting shell…

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Q: The figure gives the magnitude of the electric field inside and outside a sphere with a positive…

A: The relation of the electric field due to a charged solid sphere is given in terms of charge,…

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 non-conducting solid sphere has a uniform charge density, ρ=6μC/m3, and radius R=25cm a) Find the…

A: (a) Let ρ denotes the charge density, Q denotes the charge enclosed by the sphere of radius r, R…

Q: A point charge q1 = 4.00 nC is located on the x-axis at x = 2.00 m, and a second point charge q2 =…

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Q: Consider the charge configuration and a spherical Gaussian surface as shown in the figure. When…

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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 student has made the statement that the electric flux through one half of a Gaussian surface is…

A: To determine The statement is true or false according to gauss's law.

Q: Suppose a point charge is located at the center of a spherical surface. The electric field at the…

A: The expression for the flux is, As the flux is not depend on the radius, the flux will remain same.

Q: A cylindrical metal has a height of 0.27 m and a radius of 0.11 m. The electric field is directed…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A solid sphere of radius 40.0 cm has a total positive charge of 16.3 µC uniformly distributed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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: 1) A solid insulating sphere of radius a=4.0 cm carries a net positive charge of Q=3.5 µC uniformly…

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Q: A point charge is located at the center of a Gaussian spherical surface. If the charge is doubled…

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Q: A point charge Q=-2q is located at the center of a cube of side L. In addition six other identical…

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Q: A solid conducting sphere of radius 2.00 cm has a charge of 7.94 uC. A conducting spherical shell of…

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Q: A solid sphere of radius 40.0 cm has a total positive charge of 10.0 nC uniformly distributed…

A: Given: Radius r = 40 cm or 0.400 m Charge q = 10 nC or 10 × 10-9 C. To determine: Magnitude of the…

Q: d

A: It is one of the properties of conductor that Any Net charge on the conductor will resides on the…

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

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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: Suppose you have a sphere of radius 1.00 m that carries a charge of +1.00 µC at its center. The…

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

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Q: A solid conducting sphere of radius 2.00 cm has a charge of 7.55 µC. A conducting spherical shell of…

A: The radius of the solid conducting sphere, R = 2.00 cm = 2.00×10-2 m The inner radius of the…

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

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Q: A solid sphere of radius 40.0 cm has a total positive charge of 26.0 mC uniformly distributed…

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Q: Applying Gauss’s Law, demonstrate that a field outside a charged solid sphere (q=total charge over…

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Q: A point charge q1 4.00 nC is located on the x-axis at x = 2.00 m, and a second point charge q2 =…

A: Point charge 1: q1 = 4.00 nC = 4.00 x 10-9 C Point charge 2: q2 = -6.00 nC = -6.00 x 10-9 C Position…

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.