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Are the following all Scalar Fields? If so, are they time-dependent or not? -Temperature distributions -Potential...

Are the following all Scalar Fields? If so, are they time-dependent or not?

-Temperature distributions

-Potential Fields (like Newtonian gravitational field)

-Electric Fields in electrostatics

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Answer #1

Temperature distribution is a scalar field as it does not include any direction. It is not time dependent unless the source of heat which is varying with time.

Potential Field such as Newtonian gravitational field or electric potential are all a scalar quantity. It is not time dependent

Electric field is a vector field as there is a direction attached to the electric field. Electrostatics refers to study of charge at rest so electric field in electrostatics is time independent

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