electromagnetics charges in motion
(with a figure it would have been easier for me to explain this but i cant do that in this blog. sorry but thats not a must)
Consider two sets of two (very lengthy) hollow coaxial cylindrical tubes. In each set, the inner cylinder contains positively charged gaseous ions whereas the outer cylinder contains negatively charged gaseous ions. Conduction takes place by the movement of positively charged ions in the inner cylinder whereas in the outer cylinder conduction takes place by the movement of negatively charged ions. (Net charge at any time is zero so as to eliminate radial electric field). At the one end of each cylinder there is the cathode and at the other end there is the anode. Let’s suppose that the conduction takes place by the evaporation/sublimation of (ionic) materials from one end and deposition of the same at the other end. And let’s suppose that during conduction all the gaseous ions travel with the same constant velocity V.
Case with first set of coaxial hollow cylinder system
An observer with a unit test charge who is at rest with respect to this system feels no magnetic force or electric field (FIG 1). Now lets suppose that electric potential is given to the inner (+)ve charges such that the gaseous ions move towards the right with a velocity 'V' and the observer feels a magnetic field (FIG 2). Now let’s suppose that he starts to move along with the (+)ve charges and he now detects a force F on the charge ).
Case with second set of coaxial hollow cylinder system
Now let’s assume that the second set of coaxial hollow cylinder system as a whole moves towards the right with a velocity ‘V’ with respect to the first system of coaxial cylinders. For an observer ‘Y’ who is at rest with respect to this system feels no electric or magnetic field (FIG . (Now let’s suppose that an electric potential is given to the outer tube such that the (-)ve ions starts to move towards the left). Now the observer feels a magnetic field .
Now observers ‘X’ and ‘Y’ are at rest with respect to each other and both have the same conditions with respect to the movement of gaseous ions, but both get different results which can’t be true. Would you please help me to show me where I went wrong?
would you please send me your openion regarding this thought experiment (agree or disagree) since i consider them valuable, thank you-abhilashj
my mail id is meetabhilashj@yahoo.com