General function for E Field for point charge

In summary, the general function for the electric field of a point charge is given by E = k*q/r^2, where E is the electric field, k is the Coulomb's constant, q is the charge of the point charge, and r is the distance from the point charge. The direction of the electric field is always radial and can be determined using the right hand rule. This function cannot be used for multiple point charges and the strength of the electric field is inversely proportional to the square of the distance from the point charge. However, it is valid for both positive and negative charges.
  • #1
ZedCar
354
1

Homework Statement



Write down a general function where E=f(r,D) for sphere (D=3), (where D is a dimensionality parameter, which describes how many orthogonal directions x,y,z the field drops off from its maximum).


Homework Equations





The Attempt at a Solution



E=f(r,3)

Am I correct in thinking I place the 3 where I have, and retain the r as an r.
Then insert some function where the f is located?
 
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  • #2
anyone have any ideas?
 

1. What is the general function for the electric field of a point charge?

The general function for the electric field of a point charge is given by the equation E = k*q/r^2, where E is the electric field, k is the Coulomb's constant (9x10^9 Nm^2/C^2), q is the charge of the point charge, and r is the distance from the point charge.

2. How is the direction of the electric field determined for a point charge?

The direction of the electric field for a point charge is always radial, meaning it points directly away from or towards the point charge, depending on its positive or negative charge. The direction can be determined using the right hand rule, where the fingers point in the direction of the electric field and the thumb points in the direction of the force on a positive test charge.

3. Can the general function for the electric field of a point charge be used for multiple point charges?

No, the general function for the electric field of a point charge can only be used for a single point charge. For multiple point charges, the electric field is calculated by summing the individual electric fields at a given point using vector addition.

4. How does the distance from a point charge affect the strength of the electric field?

The electric field strength is inversely proportional to the square of the distance from the point charge. This means that as the distance increases, the strength of the electric field decreases.

5. Is the general function for the electric field of a point charge valid for both positive and negative charges?

Yes, the general function for the electric field of a point charge is valid for both positive and negative charges. The only difference is the direction of the electric field, which is towards the point charge for negative charges and away from the point charge for positive charges.

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