Athin conducting sphere has a charge q and radius a (a i) what is the capacitance of the sphere (relative to a reference plane at infinite distance)? (a ii) what is the energy density of the electric field at a distance r from the center of the sphere, for both ra (a i) what is the total energy of the electric field? express the result in terms of the capacitance obtained in part (a i) and the potential vo on the surface of the sphere. (b) a potential v is established between inner (radius a) and outer (radius b) shells of thin concentric conducting spheres. what is the radius of the inner sphere (i. e. the ratio a/b) such that the electric field on its surface is minimum. express this minimum value in terms of v and b.

compass can be used day and night, cloudy or sunny

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

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the answer is 12 as i may remember

: )