Homework Answers
a) Use the Gauss Law to find the electric field at point P at distance z...
a) Use the Gauss Law to find the electric field at point P at distance z from the infinite plane of surface density ?. Make sure to briefly explain all the steps (annotate them briefly, as in class notes). Take particular care (to explain why!) if the flux through certain area is 0. b) Explain in what situation may we find such expression useful.
1. a) Use the Gauss Law to find the electric field at point P at distance...
1. a) Use the Gauss Law to find the electric field at point P at distance z from the infinite plane of surface density ?. Make sure to briefly explain all the steps (annotate them briefly, as in class notes). Take particular care (to explain why!) if the flux through certain area is 0. b) Explain in what situation may we find such expression useful.
find the electric field of a solid sphere on point P without using gauss' law. Top
find the electric field of a solid sphere on point P without
using gauss' law.
Top
+4 +Q a. Find the electric Field vector E at point P (0, +a). (Calculate the...
+4 +Q a. Find the electric Field vector E at point P (0, +a). (Calculate the magnitude, and draw b. c. d. the vector in the picture.) Sketch the electric field lines. Find the electric Field E at (x, 0) for x >a Find out the location (x, y) where the electric Field E becomes zero. (Hint: Use the solution of e).
Electric Field of a Perforated Infinite Sheet of Charges Find the electric field, at point P,...
Electric Field of a Perforated Infinite Sheet of Charges Find the electric field, at point P, of a perforated, infinite sheet of positive charges of density 4.425 × 10−11C/m2 . The perforation is a circle of diameter 6m and the point P is on the axis of the circle and 4 m away from the sheet.
Use Gauss’s law to calculate the electric field at a distance r from a point charge...
Use Gauss’s law to calculate the electric field at a distance r from a point charge +q. Hints: (1) If you use a spherical shell of radius r as your closed surface, then by symmetry the magnitude of the electric field is the same at all points on the sphere, and thus E can be factored out of the integral. (2) Since 4 r^2 is the equation for the area of the surface of a sphere, ´ dA = 4...
Use Guass' Law to find the electric field as a function of r in the 1s...
Use Guass' Law to find the electric field as a function of r in the 1s state of a Het ion. remember the charge density for the electron is –eV (r)|, and don't forget the nucleus. You can use the wave functions for hydrogen , but remember to correct for the fact that the He nucleus has charge 2e. This gives the first guess as to the electric field that the second electron in He sees.
Use Coulomb's law to determine the magnitude of the electric field at points A and B...
Use Coulomb's law to determine the magnitude of the electric field at points A and B in (Figure 1) due to the two positive charges (Q = 7.0 μC ) shown. Suppose that a = 5.9 cm . a.Determine the magnitude of the electric field at A. b.Determine the angle between the direction of the electric field at point A and the positive x-direction. c.Determine the magnitude of the electric field at point B. d.Determine the angle between the direction...
c. Use Guass' law to find the magnitude of the electric field at the right end...
c. Use Guass' law to find the magnitude of the electric field at
the right end of the cylinder in terms of σ. Show your work.
What is the electric field at the left end of the cylinder?
Explain your reasoning.
Does the electric field near a large sheet of charge depend on
the distance from the sheet? Explain, using your results above to
justify your answer.
Is your answer consistent with the electric field lines ?
Explain how you...
find the electric field of a solid sphere on point P without
using gauss' law.
Top
+4 +Q a. Find the electric Field vector E at point P (0, +a). (Calculate the magnitude, and draw b. c. d. the vector in the picture.) Sketch the electric field lines. Find the electric Field E at (x, 0) for x >a Find out the location (x, y) where the electric Field E becomes zero. (Hint: Use the solution of e).
Use Guass' Law to find the electric field as a function of r in the 1s state of a Het ion. remember the charge density for the electron is –eV (r)|, and don't forget the nucleus. You can use the wave functions for hydrogen , but remember to correct for the fact that the He nucleus has charge 2e. This gives the first guess as to the electric field that the second electron in He sees.
c. Use Guass' law to find the magnitude of the electric field at
the right end of the cylinder in terms of σ. Show your work.
What is the electric field at the left end of the cylinder?
Explain your reasoning.
Does the electric field near a large sheet of charge depend on
the distance from the sheet? Explain, using your results above to
justify your answer.
Is your answer consistent with the electric field lines ?
Explain how you...
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