Question

Figure 23-48 gives the magnitude of the electric field inside and outside a sphere with a...

uploaded imageFigure 23-48 gives the magnitude of the electric field inside and outside a sphere with a positive charge distributed uniformly through-out its volume. The scale of the vertical axis is set by Es = 5.1 × 107 N/C.
What is the charge on the sphere?

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Answer #1

Note: electric field on the surface and beyond of a spherical charge distribution is same as that of whole charge of the distribution placed at center.

In this case, Es = 5 x 107 N/C   , as shown in the given figure.

Radius of the sphere,   R = 2 cm = 0.02 m

Es = (1/4πε) Q/R2

5 x 107 = 9 x 109 x Q / (0.02)2

Q = 5 x 107 x 0.02x 0.02 / (9 x 109 ) = 2.22 x 10-6 C

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