3. Consider a square surface (with side length a) lying iii the x-y plane. Write

Question

3. Consider a square surface (with side length a) lying iii the x-y plane. Write the infinitesimal da explicitly iii Cartesian coordinates for this surface. b. An electric field is given by E=2E0+3E0z. What is the flux due to this field through the surface defined iii part (a)? e. Consider the same surface as in part (a), but not with a constant field. Instead, place a point charge at a distance a below one corner of the surface. as shown: Calculate the total flux by explicit integral ton, and show that t 1H? result is independent of (1 a and equal to q/24 e 0. d. Optional extension extra credit: There IS a cheap way to get this Result without doing an explicit integral. Can you think of a way to do it using Gauss?s Law and a cubical surface?

Explanation / Answer

I will asume that the first vector component of our E field is in the x direction since you haven

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