We place a point charge q at the center of a sphere of radius R. This results in   an electric field E at the surface of the sphere and a flux 4 passing through it. If we change the radius of the sphere to R' = 2R, what happens to the electric field E' at the surface and the flux ' passing through this new sphere? Surface area A = 4πR², Volume V = =πR³.

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Q: A uniform circular ring has charge Q and radius r. A uniformly charged disk also has charge Q and…

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Q: Problem 9: Consider a ring of charge with a linear charge density 540 nC/m. The radius of the ring…

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Q: Positive charge Q is distributed uniformly along the x -axis from x=0 to x=a. A positive point…

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Q: (a) Two conducting spherical shells are concentric and isolated. The first spherical shell has…

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Q: A uniformly charged conducting sphere of 1.3 m diameter has a surface charge density of 7.7 µC/m2.…

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Q: The net electric field created at the origin by two charges Q1 and Q2 is equal to (3×10^3 N/C)(i-j).…

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Q: A uniformly charged conducting sphere of 1.5 m diameter has a surface charge density of 6.7 µC/m2.…

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Q: Suppose you have a long solid non-conducting cylinder of length L and radius R1 where the cylinder…

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Q: Consider a sphere of radius R=50cm with a density of charge given by ρ(r) = αr and a total…

A: Sphere of radius, R=50 cm Density of charge, ρ(r) = αr Total charge Q = 10*10-6 C

Q: A uniformly charged conducting sphere of 1.7 m diameter has a surface charge density of 12 µC/m2.…

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Q: A positively charged particle is held at the center of a spherical shell. The figure gives the…

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Q: We place a point charge q at the center of a sphere of radius R. This results in an electric field E…

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Q: A thin, square, conducting plate 47.0 cm on a side lies in the xy plane. A total charge of 3.50 x…

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Q: A charge of 0.600 nC is placed at the center of a cube that measures 4.20 m along each edge.…

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Q: The charge density of a non-uniformly charged sphere of radius 1.0 m is given as: For rs1.0 m; p(r)=…

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Q: electric field at a distance of 0.154 m from the surface of an insulating solid sphere of radius…

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Q: The electric field everywhere on the surface of a thin, spherical shell of radius 0.750 m is of…

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Q: A thin, square, conducting plate 49.0 cm on a side lies in the xy plane. A total charge of 3.70 x…

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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.