24. Electric Force & Field; Gauss' Law

Gauss' Law

Multiple Choice
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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Multiple Choice
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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Multiple Choice
Which of the following Gaussian surfaces will have a total electric flux of $0$ according to Gauss' Law?
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Multiple Choice
In Gauss's law, the total electric flux through a closed surface is equal to which of the following quantities?
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Multiple Choice
Why is symmetry useful when applying $G a u s s ’ s l a w$ to calculate electric fields?
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Multiple Choice
According to Gauss' Law, how should the integral $∯ E_{n} * d A$ be evaluated?
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Multiple Choice
Rank the flux through surfaces A, B and C in the figure below from greatest to smallest.
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3
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Multiple Choice
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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Multiple Choice
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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28
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7
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Multiple Choice
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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Multiple Choice
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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Multiple Choice
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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Multiple Choice
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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