24. Electric Force & Field; Gauss' Law

Gauss' Law

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Given three closed Gaussian surfaces as shown in Figure 1, each enclosing different charge distributions, which of the following statements correctly describes the relationship between the net electric flux $Φ$ through a surface and the net charge $Q$ enclosed by that surface according to Gauss' Law?
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If the figure shows a closed Gaussian surface enclosing a net charge $Q$ , what is the total electric flux $Φ$ through the surface according to Gauss’ Law?
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Which of the following Gaussian surfaces will have a total electric flux of $0$ according to Gauss' Law?
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In Gauss's law, the total electric flux through a closed surface is equal to which of the following quantities?
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Why is symmetry useful when applying $G a u s s ’ s l a w$ to calculate electric fields?
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According to Gauss' Law, how should the integral $∯ E_{n} * d A$ be evaluated?
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Rank the flux through surfaces A, B and C in the figure below from greatest to smallest.
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40
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3
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A very long insulating cylinder has radius $4.7 cm$ . Every $3.0 m$ length of the cylinder contains a charge of $86 nC$ evenly distributed throughout. What is the strength of the electric field $3.0 cm$ from the axis of the cylinder?
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A spherical, thin conducting shell of radius 8cm has a charge of –6C. If a 4C charge were placed at the center of the shell, what is the electric field 4 cm from the center? At 12 cm?
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31
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7
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An insulating sphere of radius $4.0 cm$ is in the center of a conducting spherical shell with inner radius of $5.0 cm$ and outer radius of $7.0 cm$ . The insulating sphere has a charge of $- 34 nC$ and the conducting spherical shell has a net charge of $42 nC$ . What is the total charge on the inner surface of the conducting spherical shell?
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A sphere of radius $4.0 cm$ has a charge of $23 nC$ evenly distributed throughout the sphere. What is the electric field strength $1.0 cm$ from the center of the sphere?
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1
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An electric field with strength $3500 N / C$ exists just outside a face of a large block of aluminum. If the electric field points towards the block, what is the surface charge density on the face of the block?
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A cube has sides equal to $4.0 cm$ . The net flux through the cube is $12 N \cdot m^{2} / C$ outward. Is the net charge in the cube positive, negative or zero?
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