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Two spheres A and B of radii 17 cm each and having charges of 1 and 2 coulomb respectively are separated by a distance of 80 cm. The electric field at a point on the Iine  joining the centres of two spheres is approximately zero at some distance from the sphere A. The electric potential at this point is

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a

6⋅56×1010V

b

8⋅12×107V

c

2⋅03×109V

d

1.2×1011V

answer is A.

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Detailed Solution

Here,               E1=E214πε0×1x2=14πε0×2(0⋅8−x)2or            1x2=2(0⋅8−x)2Solving, we getx≈0.33m=33cmNow the potential at this point isVp=14πε0×q1x+14πε0×q2(0⋅8−x)=14πε0q1x+q2(0⋅8−x)=9×10910⋅33+20⋅47=6⋅56×1010V.
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Two spheres A and B of radii 17 cm each and having charges of 1 and 2 coulomb respectively are separated by a distance of 80 cm. The electric field at a point on the Iine  joining the centres of two spheres is approximately zero at some distance from the sphere A. The electric potential at this point is