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Tutor profile: Angel M.

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Angel M.
Undergraduate student at UC Berkeley with 5+ yrs of tutoring experience
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Questions

Subject: Spanish

TutorMe
Question:

Write down a short essay describing what you did with your friends during your visit to a rollercoaster park.

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Angel M.
Answer:

Al llegar con mis amigos al parque de carruseles, fuimos a comprar un pase rápido para acceder a más carruseles. Después nos dirigimos a el carrusel más popular llamado "El dragón" pero tuvimos que esperar un largo tiempo en la linea de espera. Al bajarnos fuimos a comprar unas bebidas y aperitivos. A continuación caminamos por el parque hasta que nos encontramos con otros amigos que no esperábamos y decidimos ir juntos a otros juegos mecánicos. Al final del día, nos despedimos y nos fuimos a nuestras casas.

Subject: Physics (Electricity and Magnetism)

TutorMe
Question:

Why is the electric field inside a conducting material always zero after reaching static equilibrium regardless of wether it has an excess or lack of charge and where is the charge located after a long time? Explain in terms of a gaussian surface.

Inactive
Angel M.
Answer:

First let's assume the material has a spherical shape. Then let us assume that it has an excess charge deposited into the material at some external point. By the definition of a conductor and the fact that the motion of charge is dictated by coulombs law, we can infer that the charge will move away from its source until the charge distribution reaches an equilibrium point. At this point let us place a spherical gaussian surface centered at the origin of this conductor. Since there is no net electric field, the net chart enclosed by the sphere is zero. So where is the excess or lack of charge then? Well keep on expanding the gaussian surface and you'll realize that anywhere inside the conductor the gaussian surface will have no electric field piercing it, so the only place where the charge can be is just outside the conductor. At which point the gaussian surface will have the excess charge enclosed in a uniform way giving you an electric field outside the conductor as if it was generated by an equivalent excess charge at the center of the sphere or in other terms you can treat the charge as a point charge.

Subject: Calculus

TutorMe
Question:

What is the relevance of the limit definition in finding geometrically the slope of a tangent line to a function?

Inactive
Angel M.
Answer:

The relevance is that limits can be used to approach an ideal value from a hypothetical approach. In the case of a secant line intersecting two points of a function, the limit as the separation between those two intersecting points approaches zero will give you the ideal situation in which the resulting line will have the exact slope of the tangent at that point in the graph.

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