Q.

Figure shows, in cross section, two solid spheres with uniformly distributed charge throughout their volumes. Each has radius R. Point P lies on a line connecting the centers of the spheres, at radial distance R/2 from the center of  sphere 1. If the net electric field at point P is zero, and Q1  is  64 μC  and  Q2=8  xμC, what is the value of x.

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answer is 9.

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Detailed Solution

EP=kQ2(3R2)2−kQ1R2R3=0or 49Q2=Q12  or  Q2Q1=98∴Q2=9×648=72  μC=8×9  μC
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Figure shows, in cross section, two solid spheres with uniformly distributed charge throughout their volumes. Each has radius R. Point P lies on a line connecting the centers of the spheres, at radial distance R/2 from the center of  sphere 1. If the net electric field at point P is zero, and Q1  is  64 μC  and  Q2=8  xμC, what is the value of x.