(1) Electric field lines: There are two uniform electric fields: E1 is in the po

Question

(1) Electric field lines: There are two uniform electric fields: E1 is in the positive x direction with 100 N/C, and E2 is in the positive y direction with 50 N/C. How would you draw the electric field lines for these two electric fields? (You may use the scale of 1 line per 2 cm is for 10 N/C).





(2) Electric flux: A uniform electric field is 100 N/C in the positive x-direction. What is the electric flux of this field passing through an area of 25 cm^2 that is in the x-y plane?





(3) Gauss's law and more: There is a point charge, 50 micro C, at the center of a conducting spherical shell (with net charge of zero) of an inner radius 10 cm, and an outer radius of 15 cm. Describe the electric field lines inside the cavity (r < 10 cm), inside the conducting shell (10cm<r<15cm), and outside the shell (r>15 cm).

Explanation / Answer

a) E1:5 lines per 1cm . toward x-direction. E2:5lines per 2cm. toward y-direction. b) zero. cause the field is parallel to the surface of x-y plane. c) inside. according to Gauss'law. we have. q/epsilon0=E*4pir^2 so E=q/epsilon0*4pir^2=kq/r^2. inside the shell. E=0 and outside E=kq/r^2

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