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Irrotational,rotational,solenoidal vecter field

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Q: What are rotational and irrotational fields?
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What do you understand by rotational and irrotational fields?

Irrotational fields are conservative, simply connected (path independent), and have no curl (del cross the field) = 0Rotational fields are orthogonal MTM=I, symmetrical, representable in any finite dimension through orthogonal matrix multiplication


What is vorticity for irrotational flow?

Zero


Is every irrotational vector field conservative?

Yes, every irrotational vector field is conservative because a vector field being irrotational implies that its curl is zero, which, by one of the fundamental theorems of vector calculus, implies that the vector field is conservative.


How do the orientations of Uranus' and Neptune's magnetic axes differ from those of the other planets?

The magnetic axes of Uranus and Neptune are tilted at a much larger angle compared to the rotational axis of the planets. In contrast, the magnetic axes of the other planets are more closely aligned with their rotational axes. This misalignment suggests that the magnetic fields of Uranus and Neptune are generated differently from the other planets.


Why do people do rotational farming?

Because farming certain plants drains certain nutrients from the soil. Rotational farming rotates the crops being grown (sometimes fields are left fallow i.e. empty) and therefore, nutrients remain in the soil.


How torque is developed due to alignment of two fields?

Torque is developed by, among other things as well, the magnetic attraction or repulsion of two magnetic fields, contributing through rotational leverage to produce a net torque.


Which device converts electric energy into rotational kinetic energy?

An electric motor is the device that converts electric energy into rotational kinetic energy. It works by using magnetic fields to generate a rotational force, which causes a shaft to rotate and perform mechanical work.


What are the rotational symmetries of a heart?

a heart have no rotational symmetry!


What is the rotational symmetry of a trapezoid?

A trapezium does not have rotational symmetry.


What is the rotational symmetry of a rectangle?

It has rotational symmetry to the order of 2


How many rotational symmetries does a octagon have?

It has 8 rotational symmetry.


How much rotational symmetry does an octagon have?

It has 8lines of rotational symmetry