11. A spherical shell has an inner radius of 3.7 cm and anouter radius of 4.5 cm

Question

11. A spherical shell has an inner radius of 3.7 cm and anouter radius of 4.5 cm. If charge is distributed uniformly throughout the shell with a volumedensity of 6.1 × 10–4 C/m3 the total charge is: A) 1.0 × 10–7 C B) 1.3 × 10–7 C C) 2.0 × 10–7 C D) 2.3 × 10–7 C E) 4.0 × 10–7 C 11. A spherical shell has an inner radius of 3.7 cm and anouter radius of 4.5 cm. If charge is distributed uniformly throughout the shell with a volumedensity of 6.1 × 10–4 C/m3 the total charge is: A) 1.0 × 10–7 C B) 1.3 × 10–7 C C) 2.0 × 10–7 C D) 2.3 × 10–7 C E) 4.0 × 10–7 C

Explanation / Answer

inner radius of speherical shell = a = 3.7cm =0.037m outer radius of shell = b = 4.5cm = 0.045m volume density = =6.1*10-4 C/m3    charge on theshell    Qenc = (4/3 b3 - 4/3 a3) plug in values and do caliculation = Qenc = 1.0 × 10–7C so A is correct answer.

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