What is Point charge: Definition and 363 Discussions

A point particle (ideal particle or point-like particle, often spelled pointlike particle) is an idealization of particles heavily used in physics. Its defining feature is that it lacks spatial extension; being dimensionless, it does not take up space. A point particle is an appropriate representation of any object whenever its size, shape, and structure are irrelevant in a given context. For example, from far enough away, any finite-size object will look and behave as a point-like object. A point particle can also be referred in the case of a moving body in terms of physics.
In the theory of gravity, physicists often discuss a point mass, meaning a point particle with a nonzero mass and no other properties or structure. Likewise, in electromagnetism, physicists discuss a point charge, a point particle with a nonzero charge.Sometimes, due to specific combinations of properties, extended objects behave as point-like even in their immediate vicinity. For example, spherical objects interacting in 3-dimensional space whose interactions are described by the inverse square law behave in such a way as if all their matter were concentrated in their centers of mass. In Newtonian gravitation and classical electromagnetism, for example, the respective fields outside a spherical object are identical to those of a point particle of equal charge/mass located at the center of the sphere.In quantum mechanics, the concept of a point particle is complicated by the Heisenberg uncertainty principle, because even an elementary particle, with no internal structure, occupies a nonzero volume. For example, the atomic orbit of an electron in the hydrogen atom occupies a volume of ~10−30 m3. There is nevertheless a distinction between elementary particles such as electrons or quarks, which have no known internal structure, versus composite particles such as protons, which do have internal structure: A proton is made of three quarks.
Elementary particles are sometimes called "point particles", but this is in a different sense than discussed above.

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  1. D

    A point charge near a stream of water

    Homework Statement if a point charge is brought near a narrow stream of water will the water be attracted to the charge, repelled from it, or neither? why? water molecules are permanent electric dipoles. Homework Equations not sure The Attempt at a Solution i don't think the water...
  2. H

    Point Charge sliding on a semi-circle

    Homework Statement Two point charges Q1 = 69.5 μC and Q2 = 19.9 μC are fixed on the two ends of the diameter of a semi-circle with a radius of r = 21.3 cm as shown in the figure...
  3. P

    Dielectric sphere in point charge electric field

    I'm interested if it's possible to compute potential inside and outside dielectric sphere (with permittivity \varepsilon_1 ) which is placed in field of point charge q lying outside the sphere where permittivity is \varepsilon_2 . I've tried to solve it using Legendre polynomilas but I...
  4. S

    How Do Point Charges Affect Electric Field Vectors at a Specific Location?

    Homework Statement Point charge q1= -5.00 is at the origin and point charge q2= +3.00 is on the -x axis at x= 3.00 cm. Point P is on the y-axis at y= 4.00 cm . Calculate the electric fields E1 and E2 at point P due to the charges q1 and q2. Express your results in terms of unit vectors...
  5. S

    Point charge in a conducting plane

    Point charge +Q is placed close to a very large conducting plane. A professor of physics asserted that the field caused by this configuration is the same as would be obtained by removing the plane and placing a point charge -Q of equal magnitude in the mirror-image position behind the initial...
  6. M

    Work against an electric field due to a point charge

    Homework Statement I need help seeing if I did this right... This is from Fundamentals of Physics, 8th edition, volume 2. By Jearl Walker. Chapter 24, problem 88. A particle of positive charge Q is fixed at point P. A second particle of mass m and negative charge -q moves at a constant...
  7. K

    Electric Forces on Point Charge q in Triangle ABC

    Homework Statement Point charges Q, -2Q and 3Q are situated at the corners A, B and C respectively of an eqilateral triangle of side l, and another point charge q, of the same sign as Q, is placed at the centre of this triangle. What is the force acting on the charge q, and what is the angle...
  8. S

    Point charge above xy plane, find surface charge density

    Homework Statement A point charge, Q, is located @ (0,0,d) above infinite conducting plane that lies in xy plane and is maintained at ground potential. Find: a.) surface charge density as a function of x and y on conducting plane, and b.) total charge induced on conducting plane...
  9. rootX

    A point charge in a sphere with V0

    If there is a point charge at the center of a hollow sphere that has voltage of V0. How would I go by solving the voltage and electric field distribution? I know I can use Poisson (Laplace) to find distribution had there been no charge inside the sphere, and could use Gauss had there been no V...
  10. A

    Motion of a point charge in a magnetic field

    Homework Statement A proton with a speed 1.00x10^6 m/s enters a region with a uniform magnetic field of 0.800 T, and points into the page. The proton enters the region at an angle of 60º Find the exit angle. Homework Equations F=qvBsin(theta), F=qvxB The Attempt at a Solution I know...
  11. A

    Motion of a point charge in a magnetic field

    Homework Statement A proton with a speed 1.00x10^6 m/s enters a region with a uniform magnetic field of 0.800 T, and points into the page. The proton enters the region at an angle of 60º Find the exit angle and distance d. Homework Equations F=qvBsin(theta), F=qvxB The Attempt at a...
  12. A

    Force on a Point Charge: Finding the Location of a Third Charge

    Homework Statement 2 particles of charge q and -2q are located as shown in http://s966.photobucket.com/albums/ae146/acherentia/ . A third charge Q is placed on the x-axis and it is found that the total electric force on Q is zero. In which region of the figure is Q located? Homework...
  13. G

    Electric Field of Point Charge: Arbitrary Motion

    Given: a point charge (at rest at the Origin at time t=0) with a constant acceleration in the +x direction. Computation of E{x} at points on the y-axis produces negative values that approach negative infinity as y approaches zero. Extrapolation to y=0 suggests an infinite self-force on the...
  14. 0

    Calculating Work Done by Electric Field on a Point Charge

    Homework Statement Consider the electric field created by a very long charged line of negative linear charge density -2.50 nC/m. A small positive point charge of 8 mC moves from a distance of 9 cm to a distance of 17 cm. How much work is done by the electric field? Hint: The...
  15. C

    Magnetic field of a moving point charge

    Hi, I'm writing a small simulator where two objects apply force on each other inversely proportional to square of distance between them. ( like gravty ) in terms of gravity, I think this is the only force that I have to take into consideration. but I'm confused about electrical and magnetic...
  16. S

    In which direction is the electric field of the point charge

    Homework Statement There is a negative point charge between 2 oppositely charged plates. Positive at top and negative at bottom. The electric field runs downwards from pos to neg. In which direction is the electric field of the point charge. Homework Equations The Attempt at a...
  17. S

    Point charge - magnitude calculations

    Homework Statement A 4.9-µC point charge is located at x = 1.1 m, y = 3.1 m, and a -3.9-µC point charge is located at x = 2.1 m, y = -1.9 m. (a) Find the magnitude(inkN/C) and direction(in degrees) of the electric field at x = -3.2 m, y = 0.9 m. (b) Find the magnitude(in N) and...
  18. D

    Biot-Savart Law for a Point Charge

    Homework Statement Show that B for a point charge is equal to Homework Equations I'm not all that sure. I read that maxwell's equations can be used to derive this, so I'd imagine that it's The Attempt at a Solution If it were that, then, if i have a point charge moving...
  19. E

    General formula for Electric field of a point charge

    While reading through the Feynman Lectures on Physics (volume 1, number 28) I have come across the formula for the electric field for a moving point charge - it's the equation labelled (1) on this page: http://maxwellsociety.net/PhysicsCorner/InteractingParticles/AcceleratingCharges.html...
  20. B

    D dimension scalar potential for point charge

    Homework Statement Show that with d spatial dimensions the potential \phi due to a point charge q is given by \phi (r) = \frac{\Gamma(\frac{d}{2}-1)}{4\pi^{d/2}}\frac{q}{r^{d-2}} Homework Equations The Attempt at a Solution The electric field strength is known to be: E(r) =...
  21. H

    Solving Poyntings Vector for a point charge

    Homework Statement It is found that Poyntings vector gives P = ExH = (mu0q2a2sin2(theta)/6pi2cr2)r This apparently leads to Total Power = (mu0q2a2/6pi2c)\int(sin2(theta)/r2)(2pir2sin(theta)d\theta) What I am unsure of is where the (2pir2sin(theta)d\theta) appears from...
  22. H

    Power radiated by point charge Calculus

    It is found that Poyntings vector gives P = ExH = (mu0q2a2sin2(theta)/6pi2cr2)r This apparently leads to Total Power = (mu0q2a2/6pi2c)\int(sin2(theta)/r2)(2pir2sin(theta)d\theta) What I am unsure of is where the (2pir2sin(theta)d\theta) appears from. Can anyone help?
  23. R

    A point charge inside infinite medium of dielectric

    A point charge inside infinite dielectric material 1. The problem statement, all variables and given known data A point charge is an infinite medium of dielectric material having a relative permittivity \epsilonr. <--- epsilon(sub r). Find the electric field vector and the potential function...
  24. B

    Work Done in Moving a Point Charge

    Homework Statement Given that the electric field in a certain region is E = (z+1)*sin(Φ)aρ + (z+1)*ρ*cos(Φ)aΦ + ρ*sin(Φ)az V/m, determine the work done in moving a 4 nC charge from (4,0,0) to (4,30°,0). Homework Equations W = -Q*int(E·dl) The Attempt at a Solution Here is what I...
  25. H

    What is the Divergence of a Point Charge in Cartesian Coordinates?

    So I am playing around with the differential form of Gauss's Law: \nabla \cdot \vec{E} = \frac{\rho}{\epsilon_0} Starting off simple with a point charge, the electric field is: \vec{E} = \frac{1}{4 \pi \epsilon_0} \frac{q}{r^2} \hat{r} And the divergence, in spherical coordinates...
  26. S

    Determination of the net E field of the earth when viewed as a point charge

    Homework Statement This is more of a general question than it is a homework problem, therefore I'll begin by apologizing if I have violated any forum rules. If you can look past this transgression and help me with this question, I would greatly appreciate it. I'd like to determine the...
  27. O

    Point charge inside Dielectric Sphere embedded in Dielectric Slab

    I've been working on this for a little while now (in CGS units), and am not really sure where I've gone wrong at in calculating the potential, so I've come here! Here is the problem: What is the potential caused by placing a point charge Q at the center of a dielectric sphere (\epsilon2)...
  28. K

    Force on a point charge due to constant sphere surface charge density.

    Homework Statement The surface of a sphere of radius a is charged with a constant surface density \sigma. What is the total charge Q' on the sphere? Find the force produced by this charge distribution on a point charge q located on the z axis for z > a and for z < a.Homework Equations The...
  29. K

    Point charge, proton placement, x-, y-axis

    Homework Statement A point charge q = -0.368 nC is fixed at the origin. Where must a proton be placed in order for the electric force acting on it to be exactly opposite to its weight? Let the y-axis be vertical (positive up and negative down) and the x-axis be horizontal (positive to the...
  30. R

    Point Charge accelerated by charged ring

    1. A point charge Q is held in the center of a charged ring. Half of the ring is charged uniformly with charge 2Q and the other half with 4Q. When the point charge is released, it accelerates toward infinitum. What is the ultimate speed of the point charge? 2. Homework Equations [E=F/q]...
  31. J

    Force on 1 point charge in a 4 point charge system

    Homework Statement Four identical charges are placed at the corners of a square of side side L. Find the magnitude total force exerted on one charge by the other three charges. Express your answer in terms of the variables Q, L and appropriate constants. where did the L root2 in the...
  32. F

    What is the total electric flux through a pyramid with a point charge inside?

    Homework Statement a point charge of .04144 uC (micro C) is inside a pyramid. determine the total electric flux through the surface of the pyramid in units Nm^2/C Homework Equations The Attempt at a Solution i really don't know, i don't feel like there is enough information given.
  33. H

    Motion of a point charge near an electric dipole

    I was hoping people might be able to provide some insight into the following fairly basic scenario (not homework/school related). Imagine a positive point charge on the x-axis. Also on the x-axis, to the right, is an electric dipole, with finite spacing, pointed along the x axis, with the...
  34. P

    Point Charge Problem: Find Force Magnitude & Direction

    Homework Statement Three identical point charges of 2.0x10-6C are placed on the x-axis. The firs charge is at the origin, the second to the right at x= 50cm, and the third is at 100 cm mark. What are the magnitude and direction of the electrostatic force which acts on the charge at the...
  35. M

    Electron, point charge, and surface charge

    Homework Statement The z=0 plane is covered with the uniform surface charge density, \rho_s=10^{-9}, while at the same time the point charge q=10^{-9} is located at (0,0,1). Where can an electron be place so if released, it will not move. Homework Equations...
  36. T

    Electric Field Due to a Point Charge

    Homework Statement In below figure, the three particles are fixed in place and have charges q1 = q2 = +e and q3 = +2e. Distance a = 6.00 μm. What are the magnitude of the net electric field at point P due to the particles? http://www.geocities.com/imfrrreal/22-36.jpg Homework Equations...
  37. U

    Help Solving Physics Problem: Point Charge and Rod of Charge

    Hi Friends I am student of BsCs- 1st Semester, I am facing problem to solve a question of physics. I have tried my best to solve it but I am fail, can anyone do it for me I will thank to him. Here Is The Question Find the force on a positive point charge q located a distance x from the...
  38. J

    Superposition of 3 forces on a point charge

    Homework Statement Four charges are placed on the corners of a rectangle. What is the resultant force on the positive charge (a = 1.5 m, b = 0.5 m, q = 1.1 × 10-9C)? (see attached drawing) Homework Equations Im having problems summing the forces using superposition The Attempt at a...
  39. A

    Finding Closed Surfaces for Point Charge at Origin

    If there's a point charge at the origin, I want to find two closed surfaces such that the flux through one of them is zero while the other is not. I know this may seem trivial but I just want to make sure I understand the question. My answer would be that to get a zero flux, the closed...
  40. S

    Point charge on a string in an electric field

    Homework Statement I need some help solving this question, it is the last one I have to do and I'm not sure how to solve it. A point charge (m = 1.0 g) at the end of an insulating string of length 53 cm is observed to be in equilibrium in a uniform horizontal electric field of 9000 N/C...
  41. L

    Point Charge Location Question

    Sorry for the poor title - I'm not entirely sure how to describe the type of problem! Homework Statement A charge of -4.00 x 10-6 C is fixed in place. From a horizontal distance of 55.0cm a particle of mass 2.50 x 10-3 kg and charge -3.00 x 10-6 C is fired with an initial speed of 15.0m/s...
  42. D

    Hanging Point Charge Homework: Find q with E, m, & angle

    Homework Statement This may be simple, but I don't seem to get the right answer: An electric field \vec{E}=100,000\hat\imath\;{\rm N}/{\rm C} causes the 5.0 {\rm g} point charge in the figure (Intro 1 figure) to hang at a 20^\circ angle. E = 100,000 N/C, point charge weighs 5 g...
  43. M

    Electric potential: point charge in a hollow charged conductor

    [solved] electric potential: point charge in a hollow charged conductor Homework Statement A hollow spherical conductor, carrying a net charge +Q, has inner radius r1 and outer radius r2 = 2r1. At the center of the sphere is a point charge +Q/2. d) Determine the potential as a...
  44. S

    Electric field of a point charge

    Homework Statement Four point charges have the same magnitude of 3.1 x 10-12 C and are fixed to the corners of a square that is 5.3 cm on a side. Three of the charges are positive and one is negative. Determine the magnitude of the net electric field that exists at the center of the square...
  45. C

    Gauss: Conducting Spherical Shell w/ Point Charge

    Homework Statement Consider a conducting spherical shell with inner radius 0.8 m and outer radius 1.3 m. There is a net charge 3 μC on the shell. At its center, within the hollow cavity, there is a point charge 3 μC. Determine the flux through the spherical Gaussian surface S, which has a...
  46. B

    Two conducting hollow spheres, a point charge and electric field prob

    Homework Statement A point charge is at the center of a conducting hollow sphere, with radius 0.011m, that is within another conducting hollow sphere of radius 0.041m. The point charge is Q0=+4.30e-6 C, the inner sphere has a net charge of Q1=-1.70e-6 C, and the outer sphere has a net charge...
  47. K

    3 Point Charge Coulomb's Law problem

    Homework Statement 3 Point charges are fixed in place in a right triangle. What is the electric force on the +1.0 nanoC charge due to the other two charges? Basically you have 3 charges in a right angle as decribed, let's call them A, B, and C. In the upper left you have A, +0.8 nanoC...
  48. T

    Classic E&M Problem: Analyzing Point Charge & Charged Sphere

    A general problem you run into during an E&M class is the one involving a point charge a distance from a charged sphere. In cases where the point is far enough away from the sphere, the system can be treated like two points. In my case I have a point charge "q" a distance "z" away from the...
  49. S

    Electric field on a point charge

    Homework Statement The distance between the oxygen nucleus and each of the oxygen nuclei in an H2O molecule is 9.58*10^-11m; the angle between the H atoms is 105 degrees. Find the electric field produced by the nuclear charges (positive charges) at the point P at a distance of 1.20*10^-10m...
  50. D

    Work Done by moving point charge

    Hi I think I figured it but I'm not sure. Here's the problem: How Much Work In Fig. 25-34, how much work is required to bring the charge of +5q in from infinity along the dashed line and place it as shown near the two fixed charges +4q and –2q? Take distance d = 1.40 cm and charge q = 1.6 ×...
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