(8c23p52) A charged particle is held at the center of a spherical shell. The fig

Question

(8c23p52) A charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by Es = 2.00108 N/C. Approximately what is the net charge on the shell?

A charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by Es = 2.00 times 108 N/C. Approximately what is the net charge on the shell?

Explanation / Answer

E(2cm) = k q/r^2

1.5*2.0E8 = 9E9*q/2.0E-2^2

q=1.33E-5 C

at r=4cm

E(3cm) = k(q + 1.33E-5)/3.0E-2^2

4*2.0E8 = 9E9*(q+1.33E-5)/3.0E-2^2

q=6.67E-5 C

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