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A solid non conducting sphere of radius 1m carries a total charge of 10 C which is uniformly distributed throughout the sphere. Determine the charge density of the sphere.(a) 10 C/m^3(b) 4.76 C/m^3(c) 0.1 C/m^3(d) 2.38 C/m^3I have been asked this question during an online interview.This key question is from Continuous Charge Distribution topic in chapter Charges and Fields of Physics – Class 12

Answer»

Correct answer is (d) 2.38 C/m^3

Best EXPLANATION: Volume of the sphere = \(\frac {4}{3}\)πr^3 where r is the radius of the sphere. THEREFORE, the charge density = \(\frac {TOTAL \, charge}{\frac {4}{3}\PI r^3}\). Now substituting the values, charge density = \(\frac {10}{\frac {4}{3}\pi r^3}\) = 2.38 C/m^3. But if the sphere is conducting, we have to consider the surface charge density.



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