(1) A spherical balloon is initially uncharged. If you spray positive charge uni

Question

(1) A spherical balloon is initially uncharged. If you spray positive charge uniformly over the balloon’s surface, would it expand or contract? What would happen if you spread negative charge instead? Explain.

(2) A long, solid rod 5.0 cm in radius carries a uniform volume charge density. If the electric field strength at 10.0 cm from the central axis of the rod (not near either end) is 25,000 N/C, directed toward the rod, what is the volume charge density of the rod (in unit of C/m3)

(3) A solid sphere contains positive charge uniformly distributed throughout its volume. Is the potential at its center higher, lower, or the same as at the surface? Explain.

Explanation / Answer

(1) A spherical balloon is initially uncharged. If you spray positive charge uniformly over the balloon’s surface then it would contract. (2) Given that Radius (R) of the solid rod = 5.0 cm = 0.05 m Electric field strength (E) = 25000 N/C Distance to the point P from the rod is r = 10.0 cm = 0.10 m As we know that the electric field intensity at a point P which lies outside the rod is                 E = (R2) / (2or)                 = (2orE) / (R2)                    = 2(8.85 x 10-12C2/N.m2)(0.10m)(25000N/C) / (0.05m)2                   = 1.77 x 10-6 C/m3 (3) Electric potential on the surface is equal to at its center (3) Electric potential on the surface is equal to at its center

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