Equation of electric field line

In summary, the electric field E⃗ =(4iˆ+4jˆ) N/C is a vector field with a strength of 4√2 N/C. It has no dependency on space coordinates, and can be calculated using the direction and magnitude of the unit vectors i and j.
  • #36
"I am always open to improve myself" I claim the same, but like with these vector derivatives in many dimensions, there are so many directions that I am forced to pick only one to work on, and let the others wait...

gracy said:
Why can't we take V = 0 at infinity as a reference in here
post #24
E.g. along the line y = x the E field is a constant vector, parallel with ##d\vec s## . So ##\vec E \cdot d\vec s = |\vec E|ds## and ##\int |\vec E|ds = |\vec E|\int ds \ \ ##: 'unbounded'.

Other way to look at this: you can't get such an electric field configuration with finite equipment ( an infinitely wide and high flat-plate capacitor).

Same thing happens with infinitely long wires. Didn't we have a thread on that already ?
 
Last edited:
<h2>1. What is the equation for an electric field line?</h2><p>The equation for an electric field line is given by <strong>E = kQ/r^2</strong>, where E is the electric field strength, k is the Coulomb's constant, Q is the charge, and r is the distance from the charge.</p><h2>2. What does the equation of an electric field line represent?</h2><p>The equation of an electric field line represents the strength and direction of the electric field at any point in space around a charged object. It describes the force that a unit positive charge would experience if placed at that point.</p><h2>3. How is the equation of an electric field line derived?</h2><p>The equation of an electric field line is derived from Coulomb's law, which states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. By rearranging the equation, we can solve for the electric field strength.</p><h2>4. Can the equation of an electric field line be used for both positive and negative charges?</h2><p>Yes, the equation of an electric field line can be used for both positive and negative charges. The direction of the electric field will be towards the charge for positive charges and away from the charge for negative charges.</p><h2>5. How is the equation of an electric field line related to the concept of potential energy?</h2><p>The equation of an electric field line is related to the concept of potential energy through the equation <strong>PE = qV</strong>, where PE is the potential energy, q is the charge, and V is the potential difference. This equation shows that the electric field is responsible for the potential difference between two points in an electric field.</p>

1. What is the equation for an electric field line?

The equation for an electric field line is given by E = kQ/r^2, where E is the electric field strength, k is the Coulomb's constant, Q is the charge, and r is the distance from the charge.

2. What does the equation of an electric field line represent?

The equation of an electric field line represents the strength and direction of the electric field at any point in space around a charged object. It describes the force that a unit positive charge would experience if placed at that point.

3. How is the equation of an electric field line derived?

The equation of an electric field line is derived from Coulomb's law, which states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. By rearranging the equation, we can solve for the electric field strength.

4. Can the equation of an electric field line be used for both positive and negative charges?

Yes, the equation of an electric field line can be used for both positive and negative charges. The direction of the electric field will be towards the charge for positive charges and away from the charge for negative charges.

5. How is the equation of an electric field line related to the concept of potential energy?

The equation of an electric field line is related to the concept of potential energy through the equation PE = qV, where PE is the potential energy, q is the charge, and V is the potential difference. This equation shows that the electric field is responsible for the potential difference between two points in an electric field.

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