there is capacitor which square plates ,each side has length L
distance between the plates is d.
we insert a dialectric plate. with dielectric constant
our capacitor is connected to ressistor and in a row
and a contant voltage sourse .
we how one loop
battery ressistor and cappacitor.
find the work need to be done in the dielectric plate to move it with some x distance forward.
how i tried to solve it:
work is integral of force by distantace
but we were not given force.
so our work is the sum of two things
1.difference netween energys of the capacitor
2.work of the corrent on the ressistor
the problem is that that
the integral is over time but our cappacitace dependant on distace
and i cant put capacitace as a constant because it canging
and i dont have the kink betweeb distance and time
there is no speed
i searched google for days abour a similar problem
and i cant find one