4. Indicate for each of the following whether you can use Gauss\'s Law to determ

Question

4. Indicate for each of the following whether you can use Gauss's Law to determine the electric field. not, Briefly (1 sentence) explain why not. A sphere with (r) 3 a. b. An infinitely long bar with square cross section and constant charge density p. c. An infinitely long cylinder with p Br2cos(e) d. A thin sheet of charge in the xy plane with a a(x2 +y?) e. A slab of charge with p axA2 where x is measured from the center of the slab 5x + 7y2 in Volts, what The electric potential for a configuration of charges is given by V electric field as a function of x and y?

Explanation / Answer

a) for this sphere we can use gaus law by using spherical gausian surface .

b) by using infinite long cyllinder as gaussian surface we can apply gaussian

c) charge is not symmetrical so we can't apply gauss law.

d) charge is symmetrical so gauss law can be apply

e) charge is not symmetrical so gauss law can't be applied

electric potential os V = 5x2 + 7y2

electric field is E = - grad(V)

= -10x(i) -14y (j)

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