ELE 401 Midterm: Sample Problems
31 Jan 2019
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Qestion: determine the electric eld intensity vector ~e and the volume charge density v due to the following electric potentials, which exists in free space. Simplify your v expres- sions. (a) v = x2yz; (b) v = z ln( ); (c) v = (sin )/r. Qestion: a charge q is uniformly distributed on the spherical surface: r = a, 0 . Identify and describe in words or on your sketch the chosen gaussian surface in each region. ) Plot the magnitude of e as a function of r showing important features and values. (d) assuming a reference potential of 0 at in nity, derive expressions for the electric potential. V in both regions r a and r a. Plot the magnitude of e as a function of r showing important features and values. (e) determine the total electric ux crossing the surface of a sphere centered at (a, 0o, 0o) with radius a, in the outward direction.
