Rewa S.

PhD Student at Stanford University

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Physics (Electricity and Magnetism)

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Question:

An infinitely long wire carries electric current pointing out of the page. In which direction does the magnetic field point.

Rewa S.

Answer:

Using the right hand rule, with my thumb facing the direction of the current and my fingers rotating in the direction of the magnetic field, I get that the magnetic field points counter-clockwise.

Calculus

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Question:

Find the limit of: $$lim_{x ->2} \frac{x-2}{x^2-4}$$

Rewa S.

Answer:

This problem can be solved in two ways. One method requires the use of L'Hopital's rule because plugging in the limit value gives a result of $$ \frac{0}{0} $$. First, take the derivative of the numerator and denominator of the fraction respectively: $$lim_{x ->2} \frac{1}{2x}$$. Plugging in the limit value now results in $$ \frac{1}{4}$$, which is the answer. The second method uses simplification. First factor the denominator to $$ (x+2)(x-2)$$. Then cancel the $$(x-2)$$ in the numerator with the same phrase in the denominator. This leaves $$ \frac{1}{x+2}$$ resulting in the same answer as before.

Electrical Engineering

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Question:

What does the Fourier Transform of a sin wave look like?

Rewa S.

Answer:

The Fourier Transform of a sin wave is an upward pointing Dirac Delta function on the positive x axis and a downward pointing Dirac Delta on the negative x axis.

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