# ps02 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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Problem 1 (10 points): Concept Questions. Explain your reasoning. Concept Question 1: A pyramid has a square base of side a, and four faces which are equilateral triangles. A charge Q is placed on the center of the base of the pyramid. What is the net flux of electric field emerging from one of the triangular faces of the pyramid? 1. 0 2. 0 8 Q ε 3. 2 0 2 Qa 4. 0 2 Q 5. Undetermined: we must know whether Q is infinitesimally above or below the plane? Concept Question 2: A charge distribution generates a radial electric field / 2 ˆ rb a e r = Er r where a and b are constants. The total charge giving rise to this electric field is 1. 0 4 a πε 2. 0 3. 0 4 b Problem 2 (10 points): Non-uniformly charged sphere A sphere of radius R has a charge density 0 (/ ) rR ρ = where 0 is a constant and r is the distance from the center of the sphere.
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ps02 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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