Practice: Rank the flux through surfaces A, B and C in the figure below from greatest to smallest.

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Practice: Rank the flux through surfaces A, B and C in the figure below from greatest to smallest.

Practice: A spherical, conducting shell has a charge of –6C. If a 4C charge were placed at the center of the shell, what is the electric field at 4 cm? At 12 cm?

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If more electric field lines leave a gaussian surface than enter it, what can you conclude about the net charge enclosed by that surface?
A) is positive
B) is negative
C) is zero
D) depends

A negative charge (-Q) resides at the center of a pyramid with a triangular base. The electric flux through each of the surface is
A) -Q/(4ε0)
B) Q/(4ε0)
C) -Q/ε0
D) Q/ε0

A solid conducting sphere of radius R1 and total charge q1 is enclosed by a conducting shell with an inner radius R2 and outer radius R3 and total charge q2. OA = a and OC = c.

Some shape is made up of 8 different surfaces. If the electric flux through each surface of the shape is given below, how much charge is enclosed by this shape?
Φ1 = 50 Nm2/C Φ2 = 75 Nm2/C
Φ3 = -150 Nm2/C Φ4 = 0 Nm2/C
Φ5 = -45 Nm2/C Φ6 = 150 Nm2/C
Φ7 = 100 Nm2/C Φ8 = -125 Nm2/C

A (4.15 m by 4.15 m) square base pyramid with height of 2.53 m is placed in a vertical electric field of 50.1 N/C. Calculate the total electric flux which goes out through the pyramid’s four slanted surfaces.

A spherical surface completely surrounds two charges. Find the electric flux through the surface if the charges are +3.5x10-6 C and -2.3x10-6 C.

A solid conducting sphere of radius a is placed inside of a conducting shell which has an inner radius b and an outer radius c. There is a charge q1 on the sphere and a charge q2 on the shell.

A cubic box of side a, oriented as shown, contains an unknown charge. The vertically directed electric field has a uniform magnitude E at the top surface and 2 E at the bottom surface.

A point charge 4q > 0 is placed at the center point O. There is a thick conducting spherical shell with inner radius R2 and outer radius R '2 centered at O. The thickness of this shell is R '2 − R2. Another larger thin concentric spherical shell has radius R3. The thickness of this shell is negligible. The thick shell is charged with a charge 3q and the large thin shell is charged with a charge 9q.

A point charge 4q > 0 is placed at the center point O. There is a thick conducting spherical shell with inner radius R2 and outer radius R '2 centered at O. The thickness of this shell is R '2 − R2. Another larger thin concentric spherical shell has radius R3. The thickness of this shell is negligible. The thick shell is charged with a charge 3q and the large thin shell is charged with a charge 9q.

The net electric flux through a closed surface is
1. zero if only positive charges are enclosed by the surface.
2. zero if only negative charges are enclosed by the surface.
3. infinite only if the net charge enclosed by the surface if zero.
4. zero if the net charge enclosed by the surface is zero.
5. infinite only if there are no charges enclosed by the surface.

The figure shows four Gaussian surfaces surrounding a distribution of charges. Which Gaussian surfaces have no electric flux through them? (Check all that apply).(a) d(b) a(c) b(d) c

A charge of 10 μC is at the geometric center of a cube. What is the electric flux through one of the faces? The permittivity of a vacuum is 8.85419 × 10−12 C2/N • m2 .
1. 353882.0
2. 171294.0
3. 201411.0
4. 188235.0
5. 116706.0
6. 225882.0
7. 165647.0
8. 263529.0
9. 327529.0
10. 297411.0

A solid conducting sphere of radius R1 and total charge q1 is enclosed by a conducting shell with an inner radius R2 and outer radius R3 and total charge q2. OA = a and OC = c.

A spherical shell has an inner radius of 10 cm and an outer radius of 12 cm. If the spherical shell has a charge Q = 10 nC, and encloses a charge q = -7 nC, what is the surface charge density on the inner surface of the spherical shell?

A point charge Q is placed at the center of a cube of side a. The electric flux through any one of the six sides is
a) kQ/a2
b) Q/6ϵ0
c) Q/ϵ0
d) 0
e) can not be determined from the informations provided.

The electric field is constant over each face of the cube shown in the figure. Does the box contain positive charge, negative charge, or no charge?
a) Positive charge
b) Negative charge
c) No charge

A point charge Q is placed at the center of cube of side a. The electric flux through any one of the six sides is
kQ/a2
Q/6εo
Q/εo
0
Cannot be determined from the information provided

A charge is placed in a closed box. If the size of the box doubles, the electric flux going through the boxA) reverse the sign but keeps the same magnitude.B) keeps the same.C) doubles.D) is only half of the original flux.

A point charge q1 is concentric with two spherical conducting thick shells, as shown in the figure below. The smaller spherical conducting shell has a net charge of q2 and the larger spherical conducting shell has a net charge of q3. What is the charge Q r3 on the inner surface of the larger spherical conducting shell?1. Qr3 = −q1 − q2 + q32. Qr3 = +q13. Qr3 = +q1 − q24. Qr3 = −q15. Qr3 = −q1 − q2 − q36. Qr3 = +q1 + q27. Qr3 = 08. Qr3 = −q1 − q29. Qr3 = +q1 + q2 + q310. Qr3 = −q1 + q2

Gaussian surface A is a cube with side length L and encloses a charge Q. A separate gaussian surface B is a sphere with radius length 10L and encloses a charge Q/2. What is the ratio between the electric fluxes, ΦEA / ΦEB, for these two surfaces?
A. 200π/3
B. 3/(200π)
C. 2/1
D. 1/1

A conducting spherical shell carrying a charge -5 nC encloses a point charge +5 nC. What is the induced charge (qout) on the "outer" surface of the conducting shell?a. zerob. +5 nCc. -5 nCd. +10 nCe. -10 nC

A spherical cavity is hollowed out of the interior of a neutral conducting sphere. At the center of the cavity is a point charge, of positive charge q.Now a second charge, q2, is brought near the outside of the conductor. Which of the following quantities would change?(a) The total surface charge on the wall of the cavity, qint.would changewould not change(b) The total surface charge on the exterior of the conductor, qext.would changewould not change

A spherical cavity is hollowed out of the interior of a neutral conducting sphere. At the center of the cavity is a point charge, of positive charge q.(a) What is the total surface charge qint on the interior surface of the conductor (i.e., on the wall of the cavity)? (b) What is the total surface charge qext on the exterior surface of the conductor?(c) What is the magnitude Eint of the electric field inside the cavity as a function of the distance r from the point charge?

To understand the meaning of the variables in Gauss's law, and the conditions under which the law is applicable.Gauss's law is usually writtenwhere ε0 = 8.85 x 10-12 C2/(N • m2) is the permittivity of vacuum.How should the integral in Gauss's law be evaluated?a) around the perimeter of a closed loopb) over the surface bounded by a closed loopc) over a closed surface

a) What is the electric flux Φ3 through the annular ring, surface 3? (Express your answer in terms of C, r1, r2, and any constants.)b) What is the electric flux Φ1 through surface 1? (Express Φ1 in terms of C, r1, r2, and any needed constants.)c) What is the electric flux Φ2 passing outward through surface 2? (Express Φ2 in terms of C, r1, r2, and any constants or other known quantities.)

A cube has one corner at the origin and the opposite cornerat the point (L,L,L). The sides of the cube are parallel to the coordinate planes. The electric field in and around the cube is given by E = (a + bx) x̂ + c ŷ.Find the total electric flux ΦE through the surface of the cube. Express your answer in terms of a,b,c and L. What is the net charge q inside the cube? Express your answer in terms of a, b, c, L, and ϵ0.

An infinite cylindrical rod has a uniform volume charge density rho (where ρ > 0). The cross section of the rod has radius r0. 1. Find the magnitude of the electric field E at a distance r from the axis of the rod. Assume that r < r02. In which direction is the electric field on the cylindrical gaussian surface?A. perpendicular to the curved wall of the cylindrical Gaussian surface B. tangential to the curved wall of the cylindrical Gaussian surface C. perpendicular to the flat end caps of the cylindrical Gaussian surface D. tangential to the flat end caps of the cylindrical Gaussian surface

In a thunderstorm, charge builds up on the water droplets or ice crystals in a cloud. Thus, the charge can be considered to be distributed uniformly throughout the cloud. For the purposes of this problem, take the cloud to be a sphere of diameter 1.00km. The point of this problem is to estimate the maximum amount of charge that this cloud can contain, assuming that the charge builds up until the electric field at the surface of the cloud reaches the value at which the surrounding air breaks down. This breakdown means that the air becomes highly ionized, enabling it to conduct the charge from the cloud to the ground or another nearby cloud. The ionized air will then emit light due to the recombination of the electrons and atoms to form excited molecules that radiate light. In addition, the large current will heat up the air, resulting in its rapid expansion. These two phenomena account for the appearance of lightning and the sound of thunder. Take the breakdown electric field of air to be Eb = 3.00 x 106 N/C.Q:Estimate the total charge q on the cloud when the breakdown of the surrounding air is reached.Express your answer numerically, to three significant figures, using ε0 = 8.85 x 10-12 C2/(N•m2). A: in terms of Coulombs

A spherical cavity is hollowed out of the interior of a neutral conducting sphere. At the center of the cavity is a point charge, of positive charge q.Now a second charge, q2, is brought near the outside of the conductor. Which of the following quantities would change?(a) The electric cavity within the cavity, Ecav.would changewould not change(b) The electric field outside the conductor, Eext.would changewould not change

An insulating sphere of radius a, centered at the origin, has a uniform volume charge density.Find the electric field E(r) inside the sphere (for r< a) in terms of the position vector r .Express your answer in terms of r and ρ

A spherical cavity is hollowed out of the interior of a neutral conducting sphere. At the center of the cavity is a point charge, of positive charge q.What is the electric field E_ext outside the conductor?(a) Zero(b) The same as the field produced by a point charge q located at the center of the sphere.(c) The same as the field produced by a point charge located at the position of the charge in the cavity.

A net charge is placed on a hollow conducting sphere. How does the net charge distribute itself?A. The net charge uniformly distributes itself on the sphere's inner surface.B. The net charge uniformly distributes itself on the sphere's inner and outer surfaces.C. The net charge uniformly distributes itself on the sphere's outer surface.D. The net charge uniformly distributes itself throughout the thickness of the conducting sphere.E. The net charge clumps together at some location within the sphere.

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