- #1
jaumzaum
- 434
- 33
This problem is originally from Wopho and its goal is to describe the trajectory of a point mass charge around a dipole.
http://img18.imageshack.us/img18/2676/fvac.png
First we have to calculate the radial and tangential electric fields made by the dipole (this I've done as well) but when it asks about the trajectory I get confused
I've calculated the radial electric field Er = 2kqd cosθ/R³ and the tangential electric field Et = kqd sinθ/R³
From this I get the following:
Let B = kQqd/m
[itex]\frac{d^{2}R}{dt^{2}} = \frac{2B cosθ}{R^{3} }[/itex]
[itex]\frac{d^{2}θ}{dt^{2}} = \frac{B sinθ}{R^{4} }[/itex]
R initial = D
θ initial = 0
dR/dt initial = 0
dθ/dt initial = V/D
How do I find R(t), θ(t) or R(θ)?
[]'s
John
http://img18.imageshack.us/img18/2676/fvac.png
First we have to calculate the radial and tangential electric fields made by the dipole (this I've done as well) but when it asks about the trajectory I get confused
I've calculated the radial electric field Er = 2kqd cosθ/R³ and the tangential electric field Et = kqd sinθ/R³
From this I get the following:
Let B = kQqd/m
[itex]\frac{d^{2}R}{dt^{2}} = \frac{2B cosθ}{R^{3} }[/itex]
[itex]\frac{d^{2}θ}{dt^{2}} = \frac{B sinθ}{R^{4} }[/itex]
R initial = D
θ initial = 0
dR/dt initial = 0
dθ/dt initial = V/D
How do I find R(t), θ(t) or R(θ)?
[]'s
John
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