Chapter 15: PS 7 Two thin plastic spherical shells (own in figure bclow) arc uni

Question

Chapter 15: PS 7 Two thin plastic spherical shells (own in figure bclow) arc uniformly chargod The conter of the larger spere is at (0.0), it has a radins of 12 cm and a uniloun poulive charge of -AxloC T center of the smaller sphere is at (25 cm, 0), it has a cadius of Sc and uniform negative charge of Ix1o"C a) What are the components E and E of the electric field AE at location b) What are the components Es and E of the clectric ficld at locationB c) What are the components F, and F, of the force on the clectron placed a A(6toahe right ofthe center of the large sphere (15 cm above the center of the small sphere)?Neplect the small cootribation of the polarized molecules in the plastic location y

Explanation / Answer

a) The electric field at location A :_

Here the electric field will be due to smaller sphere only, as field inside shell is zero due to the shell.

    E = kq/r^2

      = 9e9*1e-9/(0.25-0.06)^2

    = 249.3 N/C

So E = <249.3, 0, 0> N/C as it only x direction

b) E = kq1/r1^2 + kq2/r2^2

   = 9e9*4e-9/(0.25^2+0.15^2) *0.25/sqrt(0.25^2+0.15^2) i + 9e9*4e-9/(0.25^2+0.15^2) *0.15/sqrt(0.25^2+0.15^2)j - 9e9*1e-9/0.15^2 j

   = 363.2 i -36.781 j

E = <363.2, -36.781, 0> N/C

c) F = qE

       = -1.6e-19[363.2 i -36.781 j]

      = -5.81e-17 i + 5.88e-18 j

      = <-5.81e-17, 5.88e-18, 0> N

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