# Kinetic Energy, Point Charges, Electric Field and Potential

A charged particle with a charge of +5.0 micro coulombs is initially at rest. It is accelerated through a potential difference of 500 V. What is the kinetic energy of this charged particle?

Two point charges of magnitude +4.00 MicroC and +2.00 microC are placed at opposite corners (top right, lower left) of a rectangle 0.800m long and 0.400m high. What is the potential at the upper right corner due to these charges?

An 800 Vm electric field is directed along the +x-axis. If the potential at x=0m is 2000V, what is the potential at x=2m?

Four point charges of magnitude 6.00 microC and of varying signs (topbottom left positive, topbottom right negative) are placed at the corners of a square 2.00m on each side. What is the electric potential at the center of this square due to these charges?

Two charges of magnitude 6.0 microC, but opposite signs (left positive, right negative) are placed at the corners of the base of an equilateral triangle 2.0m on a side. What is the electric potential at the vertex due to these charges?

#### Solution Preview

See attached file.

First of all, let me clarify your doubt. The potential due to a point charge of magninude 'Q' at a given position which is at a distance ''r'', can be given by

V = Q / (4*pi*(epsilon not))*r.

Where (epsilon not) is the permitivity of the free space.

Remember that, the potential is a scalar and it will be positive due to positive charge and negative due to a negative charge.

As this is a scalar, the net potential at a given charges due ...

#### Solution Summary

The solution determines the kinetic energy, point charges, and electric field and potential.