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# Good evening....Answer is 4 the option.Explain sir.

Arun
25763 Points
3 years ago
Dear Raju

Energy of sphere = Q^2 / 2C

4.5 = 16 * 10^ –12 / 2C

C = 16 * 10^ –12 / 9

R = (16 * 10^ –12 / 9 ) * 9 * 10^9

R = 16 * 10^ –3 m = 16 mm
Venkat
273 Points
3 years ago
q: the energy stored in the electric fields produced by a metal os sphere is 4.5 J. If teh sphere contanins 4muC, its radius will be.

$\\Energy of sphere = \frac{Q^2}{2C} \\4.5 = \frac{16 \times 10^{-12}}{2C} \\C =\frac{16 \times 10^{-12}}{9} = 4\pi \epsilon _{0}R \\ R = \frac{16 \times 10^{-12}}{9}\times \frac{1}{4 \pi \epsilon _{0}} \\ R = 9 \times 10^9\times \frac{16}{9} \times 10^{-12} \\ R= 16\times 10^{-3} \\ R=16 mm$