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There is no "should". The question is not a matter of ethics, morality, or

civilized culture. But there's no doubt that they are. If you need a reason,

a great one is the requirement that they be continuously differentiable.

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Related Questions

Why electric field lines are continuous?

Electric field lines are continuos because they move from +ve to -ve it means they move a particular point from A to B if they move from A to B and then to A then this path way is called discontinuous


Why should the Electric field inside a conductor zero?

The electric field inside a conductor is zero because any electric field that is present will cause the charges inside the conductor to move until they distribute themselves in such a way that cancels out the electric field. This redistribution of charges ensures that the net electric field inside the conductor is zero in equilibrium.


Why does the electric field inside a dielectric decrease when it is placed in an external electric field?

The net electric field inside a dielectric decreases due to polarization. The external electric field polarizes the dielectric and an electric field is produced due to this polarization. This internal electric field will be opposite to the external electric field and therefore the net electric field inside the dielectric will be less.


Which of the following are created by an arrangement of electric charge or a current?

for apex its: a quantum field, a gravitational field


Are the magnetic field lines open or closed curves?

Magnetic field lines are closed curves, meaning they form continuous loops that originate from the north pole and loop back to the south pole of a magnet. This represents the continuous flow of the magnetic field in a closed loop.


What is the relationship between the electric field equation and voltage in an electric field?

The electric field equation describes the strength and direction of the electric field at a point in space. Voltage, on the other hand, is a measure of the electric potential difference between two points in an electric field. The relationship between the electric field equation and voltage is that the electric field is related to the gradient of the voltage. In other words, the electric field is the negative gradient of the voltage.


What is the area around an electric charge which is strongest closest to the charged particle?

It's the electric field.


What is the electric field of a charged circular disk at it's center?

Should be zero.


Is voltage the derivative of electric field?

No, voltage is not the derivative of electric field. Voltage is a measure of electric potential difference, while electric field is a measure of the force experienced by a charged particle in an electric field.


Can an electric field exist without a magnetic field?

Yes, an electric field can exist without a magnetic field. Electric fields are produced by electric charges, while magnetic fields are produced by moving electric charges. So, in situations where there are stationary charges or no current flow, only an electric field is present.


What is the amplitude of the associated electric field?

The amplitude of the associated electric field refers to the maximum strength or intensity of the electric field. It represents the peak value of the electric field's magnitude.


What is relation between electric field intensity and electric potential?

Electric field intensity is related to electric potential by the equation E = -∇V, where E is the electric field intensity and V is the electric potential. This means that the electric field points in the direction of steepest decrease of the electric potential. In other words, the electric field intensity is the negative gradient of the electric potential.