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What does the curl of an electric field mean?

What does the curl of an electric field mean?

The curl of a field is formally defined as the circulation density at each point of the field. A vector field whose curl is zero is called irrotational. The curl is a form of differentiation for vector fields.

Why the electric field is zero inside a dielectric give reason?

Excess charge is forced to the surface until the field inside the conductor is zero. The mutual repulsion of excess positive charges on a spherical conductor distributes them uniformly on its surface. The resulting electric field is perpendicular to the surface and zero inside.

Where is the electric field is zero?

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For unlike charges, the electric field is zero outside of the smaller magnitude charge. For like charges, the electric field will be zero closer to the smaller charge and will be along the line joining the two charges.

What is the curl of an electric field?

The curl of a electric field is zero, i.e. Because , no set of charge, regardless of their size and position could ever produce a field whose curl is not zero. But, Maxwell’s 3rd Equation tells us that, the curl of a electric field is equal to the negative partial time derivative of magnetic field . i.e.

Is the curl of a magnetic field zero or not?

the curl of a electric field is equal to the negative partial time derivative of magnetic field [itex] vec {B}itex].&] So is the curl zero or is it not? If we equate those two equations we get that the time derivative of magnetic field is zero.

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Why does -dB/dt =0 rendering curl E = 0?

The curl of an electrostatic field, E, is zero because no magnetic field, B, exists in an electrostatic field (only a changing electric field produces a magnetic field and vice versa), therefore -dB/dt=0 rendering curl E = 0, because for an electrostatic field (Maxwell’s 3rd Equation):

Why is the curl of a vector field zero?

The curl is also zero since because you can change the order of the derivatives. Also note that zero curl doesn’t imply the existence of a potential since the region in which the vector field is defined needs to be a star domain.