Flux and no naucting shells.A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by , = 3.5 x 10S N-m2/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? B (a) (b) (a) Number i Units Units (b) Number Units (c) Number

Flux and no naucting shells.A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by , = 3.5 x 10S N-m2/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? B (a) (b) (a) Number i Units Units (b) Number Units (c) Number

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

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The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux Φ through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Φs = 5.0 × 105 N·m2/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B?
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by = 6.0 x 105 N-m²/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? (a) B (105 N·m²/C) e -Os r
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by s = 6.0 x 105 N-m²/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? (a) Number (b) Number i 1.77 Hint MO (c) Number i 8.9 GO Tutorial -5.31 eTextbook and Media 3 A B Units Units (105 N·m²/C) 0 uQ UC Units UC (b) r
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Ø = 4.0 × 105 N·m²/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? (a) Number (b) Number (c) Number i A Units Units Units B (105 N·m²/ e (b) < ·r
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by = 7.0 x 105 N·m²/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? (a) Number i (b) Number (c) Number i i (a) A B (105 N·m²/C) Units Units Units (b) El SUPPORT
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by s = 5.5 × 105 N·m²/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? (a) A B ·r
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by ,- 3.0x 105 N-m²/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? (a) Number 1.06 (b) Number (c) Number -3.19E12 5.31E12 (4) Units μC Units Ⓒ(10²° N+m²/C) UC Units PC (())
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux O through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by D = 5.5 x 105 N-m2/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? B (a) (b) (a) Number i Units (b) Number i Units (c) Number i Units O (10° N • m²/C)
Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux O through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by ®, = 3.0 x 105 N-m²/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? O В (b) (a) Number i Units (b) Number i Units (c) Number i Units > > >
A positively charged cylinder has a uniform volume charge density. Height l is larger than its radius a (1»a). a P a. When Point P is very close to the surface of the cylinder (1>r>a), the electric field there can be derived by treating the cylinder as an = Eŝ. infinitely long one. Suppose that we already measure the electric field at P as charge density in terms of E and a (ŝ is the radial unit vector in the cylindrical coordinate system as defined in the Equation: now use the Gauss's law to find the volume cos o â + sin ø ŷ, - sin ø Âx + cos ø ŷ, î. b. Now we move the detector from Point P to Point Q, which is so far away from the cylinder (R>l>a), that the cylinder can be treated as a point. Based on result in Part (a), find out the electric field at Q (Note that OQ is in the x direction.)
A charge of 87.6 pC is uniformly distributed on the surface of a thin sheet of insulating material that has a total area of 29.2 cm2. A Gaussian surface encloses a portion of the sheet of charge. If the flux through the Gaussian surface is 5.00 N . m2/C, what area of the sheet is enclosed by the Gaussian surface?