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Two uniform spherical charge distributions (see figure below) each have a total charge of 50.9 mC and radius
R = 15.2 cm. Their center-to-center distance is 37.50 cm. Find the magnitude of the electric field at point B, 7.50 cm
from the center of one sphere and 30.0 cm from the center of the other sphere.
N/C
R = 15.2 cm
R = 15.2 cm
-37.50 cm
30.0 cm-
7.5 cm

Expert Solution

Step 1

net charge on sphere Q=50.9mC

radius of sphere R=15.2cm

as we know electric field due to non-conducting uniformly charged solid sphere

$(1) r > R, E = \frac{k Q}{r^{2}} (2) r = R, E = \frac{k Q}{R^{2}} (3) r < R, E = \frac{ρ r}{3 ε_{0}} w h e r e ρ i s v o l u m e c h a r g e d e n s i t y .$

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