1) What is the electric flux through the surfaces indicated below, where each po

Question

                    1) What is the electric flux through the surfaces indicated below, where each point charge has magnitude of +/- e                 

                    
                

                    a) left half circle only
                    b) right half circle only
                    c) lower left segment only
                    d) upper left segment only
                    e) entire triangle                 

                    
                

                    
                

                    2) What is the magnitude of the electric field 1 cm above a sheet with uniform surface charge density sigma = 20 nC/m^2?                 

                    
                

                    3) What is the charge on an ion that gains a potential energy of 3.4 pJ when it moves through a potential difference of 1900 V?                 

                    
                

                    4) A charge q1 = 2 uC is located at the position (x,y) = (5 cm, 7 cm). A second charge q2 = 1 uC is located at the position (x,y) = (5 cm, 0 cm). Calculate the                     electric potential at the origin.                 

                    
                

                    5) Calculate the work required to move a third charge q3 = 3 uC to the origin, from infinity.                 

                    
                

                    MUST SHOW ALL WORK & EXPLAIN                 

What is the electric flux through the surfaces indicated below, where each point charge has magnitude of +/- e left half circle only right half circle only lower left segment only upper left segment only entire triangle

Explanation / Answer

1) What is the electric flux through the surfaces indicated below, where each point charge has magnitude of +/- e

a) left half circle only

There are a charge of "-e" and a charge of "+e" inside left half circle and therefore total charge of zero. Therefore electric flux is zero through the left half circle.

flux = 0 N.m2/C

b) right half circle only

There are a charge of "-e" and two charges of "+e" inside the right half circle and therefore total charge is "+e". Therefore electric flux is:

flux = (q_net)/(epsilon0)

==> flux = (e)/(epsilon0)

==> flux = (1.6e-19)/(8.85e-12)

==> flux = 1.81 x 10^-8 N.m2/C

c) lower left segment only

There are a total charge of "-e". Therefore electric flux is:

flux = (q_net)/(epsilon0)

==> flux = (-e)/(epsilon0)

==> flux = (-1.6e-19)/(8.85e-12)

==> flux = -1.81 x 10^-8 N.m2/C

d) upper left segment only

There is not any charge inside the upper left segmen, therefore:

flux = 0 N.m2/C

e) entire triangle

Total charge nside the triangle is zero, therefore

flux = 0 N.m2/C

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