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C12 GAUSS'S LAW

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Which of the following must be true for a Gaussian surface through which the net flux is zero?

1. There are no charges inside the surface.

2. The net charge enclosed by the surface is zero.

3. The electric field is zero everywhere on the surface.

a)

I only

b)

II only

c)

I and II only

d)

I, II, and III

2.

Spheres A, B, and C are arranged on the xy

xy-axis as shown. What is the electric flux through a Gaussian sphere of radius 80cm

80cm centered on the origin?

a)

−4qϵ0-\frac{4q}{\epsilon_0}

b)

−2qϵ0-\frac{2q}{\epsilon_0}

c)

−qϵ0-\frac{q}{\epsilon_0}

d)

qϵ0\frac{q}{\epsilon_0}

3.

A rectangular loop is held perpendicular to a uniform E-field (the loop's normal vector, dA, is parallel to the E-field direction). At what angle to its normal does the loop have to be turned through so the electric flux is one half of its original value?

a)

15 degrees

b)

30 degrees

c)

45 degrees

d)

60 degrees

e)

90 degrees

4.

A positive charge is enclosed by a spherical surface. What direction is the electric flux relative to the surface/

a)

tangent

b)

from the inside to the outside of the surface

c)

from the outside to the inside of the surface

d)

the lines do not pass through the surface

5.

A charged particle is enclosed within a rectangular box and produces an Electric Flux, EF, through the box. What is the electric flux through a box with dimensions 3 times the size of the first box, centered on the charged particle?

a)

1/9 EF

b)

1/3 EF

c)

EF

d)

3EF

e)

9EF

6.

A charge of magnitude, q, is at the center of a sphere of radius r. What is the electric flux at the surface of the sphere? r = 0.53 m, q = 5.0 x 10^-6 C

a)

5.6 x 10^5 Nm*m/C

b)

6.5 x 10^5 Nm*m/C

c)

7.3 x 10^5 Nm*m/C

d)

1.1 x 10^6 Nm*m/C

e)

1.3 x 10^6 Nm*m/C

7.

You are trying to calculate the e-field outside a positively charged metal sphere of radius R. The Gaussian surface should be what kind of geometrical object?

a)

circle

b)

cylinder

c)

cube

d)

sphere

e)

rectangle

8.

You are trying to calculate the e-field outside a positive line of charge. The Gaussian surface should be what kind of geometrical object?

a)

circle

b)

cylinder

c)

cube

d)

sphere

e)

rectangle

9.

A metal sphere of radius R is given a positive charge, q. What is the electric field at a distance r from the center, where r > R?

a)
b)
c)
d)
e)
10.

A metal sphere of radius R is given a positive charge, q. What is the electric field at a distance r from the center, where r < R?

a)
b)
c)
d)
e)

0