Consider a sphere of radius $R$ with uniform charge density and total charge $Q$. The electrostatic potential distribution inside the sphere is given by $V(r) = \frac{Q}{4 \pi \varepsilon_{0} R} \left( a + b(r/R)^c \right)$. Note that the zero of potential is at infinity. The values of $(a, b, c)$ are

  • A
    $(\frac{1}{2}, \frac{3}{2}, 1)$
  • B
    $(\frac{3}{2}, -\frac{1}{2}, 2)$
  • C
    $(\frac{1}{2}, -\frac{1}{2}, 1)$
  • D
    $(\frac{1}{2}, -\frac{1}{2}, 2)$

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