DAY 5 -- Homework

1. Draw the field lines and equipotential surfaces for two equal masses separated by a distance d.
   
   

2. An ionized Helium atom has two protons in its nucleus and one electron “orbiting” it. If the nucleus and the electron are separated by 0.1 x 10^-10 m, as shown, find all locations where the E-field is zero
   
   

3. A charge of –2 nC is located at the origin. A charge of +5/9 nC
   is located at x = 2 m, y = 6 m. Draw the electric field lines and equipotential surfaces of this system.
   
   

4. A charge of –2 nC is located at the origin. A charge of +5/9 nC
   is located at x = 2 m, y = 6 m. Use the following JAVA programs to plot a surface plot of U(x,y), to plot the equipotential surfaces of U(x,y), and to plot the E-field and field lines in the system.
   
   Surface Plotter for this problem
   Equipotential Surfaces Plotter for this problem
   Vector Field Plotter for this problem
   Field Line Plotter for this problem
   
   Note – in these programs the equation to be plotted must be entered in usual “computer notation”. This means multiplication is *, division is /, and powers are ^. So
   
   U(x,y) = 2x² + 4y/x³
   
   Would mean the following is entered in the box that days “PLOT” or “U(x,y)”:
   
   (2*x^2)+(4*y/(x^3))
   
   

5. Repeat the above problem, add a charge of your choosing in a location of your choosing.