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1. 1. 2. 3. 4. 5. The total electric flux through a closed cylindrical (length = 1.7 m, diameter = 0.14 m) surface is equal to {image} . Determine the net charge within the cylinder. • {image} • {image} • {image} • {image} • {image}

2. 1. 2. 3. 4. 5. A uniform charge density of {image} is distributed throughout a spherical volume (radius = 18 cm). Consider a cubical (3.3 cm along the edge) surface completely inside the sphere. Determine the electric flux through this surface. • {image} • {image} • {image} • {image} • {image}

3. A point charge {image} is located on the x axis at {image} and a second point charge {image} is located on the x axis at {image} A Gaussian surface with radius {image} is centered at the origin. Find the flux through this Gaussian surface. • The flux is zero because the negative flux over one hemisphere is equal to the positive flux over the other. • The flux is greater than zero. • The flux is zero because at every point on the surface the electric field has no component perpendicular to the surface. • The flux is zero because the electric field is zero at every point on the surface. • None of the above.

4. 1. 2. 3. 4. 5. A long cylinder (radius = 2.8 cm) is filled with a nonconducting material which carries a uniform charge density of {image} Determine the electric flux through a spherical surface (radius = 1.6 cm) which has a point on the axis of the cylinder as its center. • {image} • {image} • {image} • {image} • {image}

5. 1. 2. 3. 4. 5. A charge of uniform volume density {image} fills a cube with 8.0-cm edges. What is the total electric flux through the surface of this cube? • {image} • {image} • {image} • {image} • {image}

6. 1. 2. 3. 4. 5. A hemispherical surface (half of a spherical surface) of radius R is located in a uniform electric field of magnitude E that is parallel to the axis of the hemisphere. What is the magnitude of the electric flux through the hemisphere surface? • {image} • {image} • {image} • {image} • {image}

7. Charge of uniform surface density {image} is distributed over the entire xy plane. Determine the magnitude of the electric field at any point having {image} • 14 N/C • 28 N/C • 17 N/C • 23 N/C • 38 N/C

8. Charge of a uniform density {image} is distributed over the entire xy plane. A charge of uniform density {image} is distributed over the parallel plane defined by {image} Determine the magnitude of the electric field for any point with {image} • 0.25 kN/C • 0.75 kN/C • 0.50 kN/C • 0.15 kN/C • 0.54 kN/C

9. Two infinite, uniformly charged, flat surfaces are mutually perpendicular. One of the sheets has a charge density of {image} and the other carries a charge density of {image} What is the magnitude of the electric field at any point not on either surface? • 5.8 N/C • 8.1 N/C • 1.4 N/C • 6.8 N/C • 4.5 N/C

10. Each 2.2-m length of a long cylinder (radius = 4.1 mm) has a charge of 3.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point 5.1 mm from the axis of the cylinder? • 4.8 kN/C • 6.0 kN/C • 3.0 kN/C • 6.7 kN/C • 3.7 kN/C

11. A long nonconducting cylinder (radius = 12 cm) has a charge of uniform density {image} distributed throughout its column. Determine the magnitude of the electric field 5.0 cm from the axis of the cylinder. • 12 N/C • 30 N/C • 18 N/C • 38 N/C • 45 N/C

12. A long cylindrical shell (radius = 2.5 cm) has a charge uniformly distributed on its surface. If the magnitude of the electric field at a point 5.7 cm radially outward from the axis of the shell is 84 N/C, how much charge is distributed on a 1.6-m length of the charged cylindrical surface? • 0.43 nC • 0.21 nC • 0.38 nC • 0.66 nC • 0.49 nC

13. Charge of uniform density {image} is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.1 mm and 2.6 mm. Determine the magnitude of the electric field at a point which is 3.1 mm from the symmetry axis. • 7.2 N/C • 1.0 N/C • 1.9 N/C • 4.5 N/C • 8.6 N/C

14. Charge of uniform density {image} is distributed over a cylindrical surface (radius = 1.0 cm), and a second coaxial surface (radius = 3.3 cm) carries a uniform charge density of {image} Determine the magnitude of the electric field at a point 4.3 cm from the symmetry axis of the two surfaces. • 1.4 kN/C • 0.66 kN/C • 8.6 kN/C • 7.6 kN/C • 0.95 kN/C

15. Charge of uniform density {image} is distributed on a spherical surface (radius = 1.3 cm), and a second concentric spherical surface (radius = 3.5 cm) carries a uniform charge density of {image} What is the magnitude of the electric field at a point 4.6 cm from the center of the two surfaces? • 4.2 N/C • 5.2 N/C • 2.4 N/C • 6.0 N/C • 3.5 N/C

16. 1. 2. 3. 4. 5. A 4.7-nC point charge is embedded at the center of a nonconducting sphere (radius = 2.3 cm) which has a charge of - 8.2 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point that is 1.0 cm from the center of the sphere? • {image} • {image} • {image} • {image} • {image}

17. A charge of 5.7 pC is distributed uniformly on a spherical surface (radius = 2.0 cm), and a second charge of {image} 1.9 pC is distributed uniformly on a concentric spherical surface (radius = 4.2 cm). Determine the magnitude of the electric field 3.4 cm from the center of the two surfaces. • 44 N/C • 51 N/C • 19 N/C • 62 N/C • 24 N/C

18. Charge of uniform density {image} is distributed on a spherical surface (radius = 1.3 cm), and a second concentric spherical surface (radius = 3.9 cm) carries a uniform charge density of {image} What is the magnitude of the electric field at a point 2.7 cm from the center of the two surfaces? • 1.2 N/C • 2.4 N/C • 1.6 N/C • 2.8 N/C • 2.0 N/C

19. The axis of a long hollow metallic cylinder (inner radius = 1.0 cm, outer radius = 1.8 cm) coincides with a long wire. The wire has a linear charge density of {image} 7.3 pC/m, and the cylinder has a net charge per unit length of {image} 3.7 pC/m. Determine the magnitude of the electric field 2.8 cm from the axis. • 7.1 N/C • 2.3 N/C • 4.4 N/C • 6.5 N/C • 4.8 N/C

20. 1. 2. 3. 4. 5. If the electric field just outside a thin conducting sheet is equal to 2.3 N/C, determine the surface charge density on the conductor. • {image} • {image} • {image} • {image} • {image}

21. A spherical conductor (radius = 1.2 cm) with a charge of 1.7 pC is within a concentric hollow spherical conductor (inner radius = 3.3 cm, outer radius = 4.4 cm) which has a total charge of {image} 3.0 pC. What is the magnitude of the electric field 2.0 cm from the center of these conductors? • 38 N/C • zero • 110 N/C • 14 N/C • 33 N/C

22. The electric field just outside the surface of a hollow conducting sphere of radius 22 cm has a magnitude of 550 N/C and is directed outward. An unknown charge Q is introduced into the center of the sphere and it is noted that the electric field is still directed outward but has decreased to 100 N/C. What is the magnitude of the charge Q? • 2.4 nC • 3.5 nC • 2.7 nC • 1.8 nC • 3.7 nC

23. An astronaut is in an all-metal chamber outside the space station when a solar storm results in the deposit of a large negative charge on the station. Which statement is correct? • The astronaut does not need to worry: the charge will remain on the outside surface. • The astronaut must abandon the chamber immediately to avoid being electrocuted. • The astronaut will be safe only if she is wearing a spacesuit made of nonconducting materials. • The astronaut must abandon the chamber if the electric field on the outside surface becomes greater than the breakdown field of air. • The astronaut must abandon the chamber immediately because the electric field inside the chamber is non-uniform.

24. A negative point charge {image} is placed off center inside an uncharged metal sphere insulated from the ground as shown. Where is the induced charge density greatest in magnitude and what is its sign? {applet} • A, positive • C, negative • B, negative • B, positive • C, positive

25. 1. 2. 3. 4. 5. Three originally uncharged infinite parallel planes are arranged as shown. Then the upper plate has surface charge density {image} placed on it while the lower plate receives surface charge density {image} Find the net charge induced on the center plate. {applet} • 0 • {image} • {image} • {image} • {image}

26. 1. 2. 3. 4. 5. Two concentric imaginary spherical surfaces of radius R and 4R respectively surround a positive point charge Q located at the center of the surfaces. When compared to the electric flux {image} through the surface of radius R, what is the electric flux {image} through the surface of radius 4R? • {image} • {image} • {image} • {image} • {image}

27. The electric flux through the two adjacent spherical surfaces shown below is known to be the same. It is also known that there is no charge inside either spherical surface. We can conclude that _____ . {applet} • there is no electric field present in this region of space • there is a constant E field present in this region of space • the electric flux has a constant value of zero • any of the above may be correct • only the second and the third variants above may be correct

28. 1. 2. 3. 4. 5. Which one of the following is not an expression for electric charge? • {image} • {image} • {image} • {image} • {image}

29. 1. 2. 3. 4. 5. An uncharged spherical conducting shell surrounds a charge {image} at the center of the shell. Then charge {image} is placed on the outside of the shell. When static equilibrium is reached, what are the charges on the inner and outer surfaces of the shell respectively? • {image} • {image} • {image} • {image} • {image}

30. A constant electric field {image} is present throughout a region of space that includes the plane bounded by the y and z axes and the lines {image} and {image} Find the electric flux at the plane's surface, in N/C. • 18 • 0 • 0.18 • 35 • 100

31. A sphere has a radius of 1.00 m and carries a charge of {image} at its center. What happens to the flux through the sphere and the magnitude of the electric field at the surface of the sphere if the radius of the sphere is changed to 0.500 m? • The flux and field both increase. • The flux and field both decrease. • The flux increases and the field decreases. • The flux decreases and the field increases. • The flux remains the same and the field increases. • The flux decreases and the field remains the same.

32. If the net flux through a gaussian surface is zero, the following four statements could be true. Which of the statements must be true? • There are no charges inside the surface. • The net charge inside the surface is zero. • The electric field is zero everywhere on the surface. • The number of electric field lines entering the surface equals the number leaving the surface.

33. 1. 2. 3. 4. 5. Consider the charge distribution shown in the figure below. {image} The charges contributing to the total electric field at a chosen point on the surface {image} are _____. • {image} only • {image} only • {image} and {image} • all four charges • none of the charges