What do you expect to happen to the field as you get really far from the rod?
Ex=λ4πε0Lx√x2+L2
Ex goes to 0.
Ex begins to look like a point charge.
Ex goes to ∞.
More than one of these is true.
I can't tell what should happen to Ex.
Taylor Series?
I remember those and am comfortable with them.
I remember them, but it might take a little while to get comfortable.
I've definitely worked with them before, but I don't recall them.
I have never seen them.
What do you expect to happen to the field as you get really far from the rod?
Ex=λ4πε0Lx√x2+L2
Ex goes to 0.
Ex begins to look like a point charge.
Ex goes to ∞.
More than one of these is true.
I can't tell what should happen to Ex.
Ex=λ4πε0Lx√x2+L2
If we are far from the rod, what is the small parameter in our Taylor expansion?
x
L
x/L
L/x
More than one of these
Ex=λ4πε0Lx√x2+L2
If we are very close to the rod, what is the small parameter in our Taylor expansion?
x
L
x/L
L/x
More than one of these
The model we developed for the motion of the charged particle near the charged disk (on the center axis) is represented by this nonlinear differential equation:
¨x=C[1−1(x2+R2)1/2]
You decide to expand this expression for small parameter is x/R, under what conditions is any solution appropriate?
When the disk is very large
When the disk is very small
When the particle is far from the disk
When the particle is near the disk
More than one of these
Given the location of the little bit of charge (dq), what is |→R|?
√z2+r′2
√z2+r′2−2zr′cosθ
√z2+r′2+2zr′cosθ
Something else
What do you expect to happen to the field as you get really far from the rod?
Ex=λ4πε0Lx√x2+L2Ex goes to 0.
Ex begins to look like a point charge.
Ex goes to ∞.
More than one of these is true.
I can't tell what should happen to Ex.
CORRECT ANSWER: D (A and B)