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By saying that the electrostatic field is conservative, we do not mean that (a) It is the gradient of a scalar potential. (b) Its circulation is identically zero. (c) Its curl is identically zero. (d) The work done in a closed path inside the field is zero. (e) The potential difference between any two points is zero.
A potential field is given by V 5 3x2 y 2 yz. Which of the following is not true?
two capacitor of problem 2.12 are now connected in series and to a 9.00-V battery. find (a) the value of equivalent capacitance of the combination, (b) the voltage across each capacitor and (c) the charge in each capacitor
A hollow spherical shell carries charge density ρ = k/r2 in the region a < r < b (see Figure). Find the electric field in the three regions : (I) r < a (II) a < r < b, (III) r > b. Plot the magnitude of E~ as a function of r.
Find the electric field inside a sphere which carries a charge density proportional to the distance from the origin, ρ = kr, for some constant k. (note that this charge density is not uniform, and you must integrate to get the enclosed charge.)
. Find the electric field a distance z for an infinitely long straight wire, which carries a uniform line charge λ
Use Gauss’s law to find the electric field inside a uniform charged sphere (ρ).
Use gauss’s law to find the electric field inside and outside a spherical shell of radius R, which carries uniform surface charge density σ. Compare your answer to problem using Coulomb’s law.
A thin non-conducting rod of finite length L has a charge q spread uniformly along it. Show that the magnitude of the electric field at point P a distance y on the perpendicular bisector of the rod is given by: E = q 2π0y 1 (L2 + 4y 2) 1/2
. At what distance along the central axis of a ring of radius R and uniform charge Q is the magnitude of the electric field maximum?
