Two large parallel metal plates are apart and have charges of equal magnitudes but opposite signs on their facing surfaces. take the potential of the negative plate to be zero. if the potential halfway between the plates is then , what is the electric field in the region between the plates?

Some data in the question are missing. This is the complete text:

"Two large parallel metal plates are 1.5 cm apart and have charges of equal magnitudes but opposite signs on their facing surfaces. Take the potential of the negative plate to be zero. If the potential halfway between the plates is then +5.0 V, what is the electric field in the region between the plates?"

666.7 V/m

Explanation:

First of all, let's remind that the electric field between two parallel, oppositely charged plates is uniform (constant).

This means that the electric potential between the plates increases linearly with the distance, according to the equation:

where

V is the electric potential at distance d from the plate at zero potential

E is the magnitude of the electric field

d is the distance from the plate at 0 V

Here we have:

V = +5.0 cm at halway between the plates, therefore at a distance of

from the plate at 0 V

Therefore, the electric field is

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.

the force represented by vector a is normal force. if the hockey puck is moving to the right, when it is hit with a significant force by the hockey stick the puck will move off in a different direction. correct on edge.