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Gauss's Law and its application

Total questions: 18

Worksheet time: 14mins

Name
Class
Date
1.

What is the no. of electric field lines coming out of a +1 coulomb charge

(a)  

2.

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

3.

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

4.

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

5.

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

6.

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)
7.

What is the graph of the electric field for a charged conducting sphere of radius R?

a)
b)
c)
d)
e)
8.

What is the magnitude of the electric field right outside an infinite plane of charge?

a)
b)
c)
d)
e)
9.

A solid non-conducting sphere has a radius R and a charge of +Q uniformly distributed throughout its volume. Which graph below describes the electric field as a function of distance r from the center of the sphere?

a)
b)
c)
d)
e)
10.
The area vector for a flat surface
a)
is parallel to the surface and has a magnitude equal to the length of a side of the surface.
b)
is perpendicular to the surface and has a magnitude equal to the length of a side of the surface.
c)
is parallel to the surface and has a magnitude equal to the area of the surface.
d)
is perpendicular to the surface and has a magnitude equal to the area of the surface.
11.
A cylindrical wastepaper basket with a 0.15-m radius opening is in a uniform electric field of 300 N/C, perpendicular to the opening. The total flux through the sides and bottom is: 
a)
0 N×m2/C
b)
4.2 N×m2/C
c)
21 N×m2/C
d)
280 N×m2/C
12.

A charge -2Q is placed at A ( 3,0,0) cm and another charge 8Q is placed at B ( 1,0,0)cm. Find the ratio of electric flux through concentric spheres S1 and S2 centered at the origin with radius 2 cm & 5 cm respectively

a)

4/3

b)

4

c)

1/4

d)

4/5

e)

1/8

13.

What is the shape of a Gaussian Surface for a hollow charged conducting cylinder

a)

spherical

b)

cylindrical shell

c)

rectangular parallelopiped

d)

any shape

14.

What is the best method of taking the lesson feedback according to you

(a)  

15.

The normal vector to a rectangular loop makes an angle of 35 degrees with the vector describing the direction of an applied electric field. What is the Electric Flux through the loop, given the following data? E = 52,000 N/C, width = 35 cm, length = 75 cm

a)

1.1 x 10^4 Nm*m/C

b)

7.8 x 10^3 Nm*m/C

c)

1.1 x 10^8 Nm*m/C

d)

7.8 x 10^7 Nm*m/C

e)

zero

16.

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

17.

A nonconducting sphere of radius R has a uniform charge distribution of magnitude Q. What is the electric field at a distance less than R?

a)
b)
c)
d)
e)

0

18.

What is the shape and orientation of the Gaussian surface used to find the electric field outside of an infinite plane of charge?

a)

a sphere through the surface

b)

a cube parallel to the surface

c)

a cube through the surface

d)

a cylinder parallel to the surface

e)

a cylinder perpendicular to the surface