Electrostatics is the study of electric fields in static equilibrium.
In addition to research using equipment such as a Van de Graaff generator, many practical applications of electrostatics exist, including photocopiers, laser printers, ink-jet printers and electrostatic air filters.
Problems&Exercises
(a) What is the electric field 5.00 m from the center of the terminal of a Van de Graaff with a 3.00 mC charge, noting that the field is equivalent to that of a point charge at the center of the terminal? (b) At this distance, what force does the field exert on a
$2.00\phantom{\rule{0.25em}{0ex}}\mu \text{C}$ charge on the Van de Graaff’s belt?
(a) What is the direction and magnitude of an electric field that supports the weight of a free electron near the surface of Earth? (b) Discuss what the small value for this field implies regarding the relative strength of the gravitational and electrostatic forces.
(b)the coulomb force is extraordinarily stronger than gravity
A simple and common technique for accelerating electrons is shown in
[link] , where there is a uniform electric field between two plates. Electrons are released, usually from a hot filament, near the negative plate, and there is a small hole in the positive plate that allows the electrons to continue moving. (a) Calculate the acceleration of the electron if the field strength is
$2.50\times {10}^{4}\phantom{\rule{0.25em}{0ex}}\text{N/C}$ . (b) Explain why the electron will not be pulled back to the positive plate once it moves through the hole.
Earth has a net charge that produces an electric field of approximately 150 N/C downward at its surface. (a) What is the magnitude and sign of the excess charge, noting the electric field of a conducting sphere is equivalent to a point charge at its center? (b) What acceleration will the field produce on a free electron near Earth’s surface? (c) What mass object with a single extra electron will have its weight supported by this field?
Point charges of
$25.0\phantom{\rule{0.25em}{0ex}}\mu \text{C}$ and
$45.0\phantom{\rule{0.25em}{0ex}}\mu \text{C}$ are placed 0.500 m apart. (a) At what point along the line between them is the electric field zero? (b) What is the electric field halfway between them?
What can you say about two charges
${q}_{1}$ and
${q}_{2}$ , if the electric field one-fourth of the way from
${q}_{1}$ to
${q}_{2}$ is zero?
The charge
${q}_{2}$ is 9 times greater than
${q}_{1}$ .
Integrated Concepts
Calculate the angular velocity
$\mathrm{\omega}$ of an electron orbiting a proton in the hydrogen atom, given the radius of the orbit is
$0.530\times {10}^{\mathrm{\u201310}}\phantom{\rule{0.25em}{0ex}}\text{m}$ . You may assume that the proton is stationary and the centripetal force is supplied by Coulomb attraction.
Integrated Concepts
An electron has an initial velocity of
$5.00\times {10}^{6}\phantom{\rule{0.25em}{0ex}}\text{m/s}$ in a uniform
$2.00\times {10}^{5}\phantom{\rule{0.25em}{0ex}}\text{N/C}$ strength electric field. The field accelerates the electron in the direction opposite to its initial velocity. (a) What is the direction of the electric field? (b) How far does the electron travel before coming to rest? (c) How long does it take the electron to come to rest? (d) What is the electron’s velocity when it returns to its starting point?
Questions & Answers
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?