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Physics problems: electricity

electric flux, Gauss's law

 

Problem 7.

  A closed surface encloses a net charge of 10 nC . What is the net electric flux through the surface?  

Solution

 

Problem 20.

A cylinder with radius r= 0.75 m and length l=0.6 m that has an infinite line of positive charge running along its axis.  The charge per unit length on the line is .

(a) What is the electric flux through the cylinder due to this line of charge?

(b) What is the flux through the cylinder if its radius increased to r= 0.32 m?

(c) What is the flux through the cylinder if its length increased to l= 0.8 m?

Solution

 

Problem 21.

Three small spheres are enclosed in surface carrying charges q1 = 4 nC, q2 = -10.00 nC, and q3 = 5 nC.

 Surface (s)                        What it encloses

s1                                        q1

s2                                        q2

s3                                        q1 and q2

s4                                        q1 and q3

s5                                        q1, q2 and q3

Find the net electric flux through each of the following closed surfaces.

(a) s1

(b) s2    

(c) s3        

(d) s4

(e) s5

Solution

 

Problem 33.

A cube of side 1 cm is placed within an electric field of  100 N/C. What is the flux through the (a) top face (b) bottom face (c) right face (d) left face of the cube. What is the net flux through the cube. The electric field is perpendicular to the left face of the cube.

Solution

 

Problem 38.

A charge Q is at center of a cube. What is the electric flux through one face of the cube.

Solution

 

Problem 39.

A charge Q is at center of a tetrahedron (triangular pyramid with congruent equilateral triangles for each of its faces). What is the electric flux through one face of the tetrahedron.

Solution

 

 

 

 

 

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