y А (-6,0) L A rod of length L lies along the x-axis with its left end a the origin, as shown in the figure above. The rod has a nonuniform linear charge density 1 = ax, where a is a positive constant. a) Determine the units of the constant a. Choose File no file selected 29F2877E-4916-4F8E-ADC2-D83EB1E02751.jpeg b) Derive an expression for the total charge on the rod. Express your answer in terms of a, L, and physical constants as appropriate. Choose File no file selected The rod is replaced with one of the same length but with a uniform charge density of 10. c) Show that the electric field at point A, which is a distance b to the left of the rod, has a magnitude of E = 4TE ob(b+L) Choose File no file selected d) A proton is placed at point A, at position (-6,0), near the positively charged rod and released from rest.
y А (-6,0) L A rod of length L lies along the x-axis with its left end a the origin, as shown in the figure above. The rod has a nonuniform linear charge density 1 = ax, where a is a positive constant. a) Determine the units of the constant a. Choose File no file selected 29F2877E-4916-4F8E-ADC2-D83EB1E02751.jpeg b) Derive an expression for the total charge on the rod. Express your answer in terms of a, L, and physical constants as appropriate. Choose File no file selected The rod is replaced with one of the same length but with a uniform charge density of 10. c) Show that the electric field at point A, which is a distance b to the left of the rod, has a magnitude of E = 4TE ob(b+L) Choose File no file selected d) A proton is placed at point A, at position (-6,0), near the positively charged rod and released from rest.
Related questions
Question
Transcribed Image Text:A
→ X
(-b,0)
L
A rod of length L lies along the x-axis with its left end a the origin, as shown
in the figure above. The rod has a nonuniform linear charge density a =
= ax,
where a is a positive constant.
a) Determine the units of the constant a.
Choose File
no file selected
29F2877E-4916-4F8E-ADC2-D83EB1E02751.jpeg
b) Derive an expression for the total charge on the rod. Express your answer
in terms of a, L, and physical constants as appropriate.
Choose File) no file selected
The rod is replaced with one of the same length but with a uniform charge
density of 10.
c) Show that the electric field at point A, which is a distance b to the left of
the rod, has a magnitude of E =
4περb(b+L)
Choose File
no file selected
d) A proton is placed at point A, at position (-b,0), near the positively
charged rod and released from rest.
Expert Solution
Trending now
This is a popular solution!
Step by step
Solved in 9 steps
