Electric potential at a point distant \(0.5 \mathrm{~m}\) from a spherical conductor of radius \(0.2…

Electric potential at a point distant \(0.5 \mathrm{~m}\) from a spherical conductor of radius \(0.2 \mathrm{~m}\) charged to \(+1 \mathrm{nC}\) is
  1. \(+9 \mathrm{~V}\)
  2. \(-9 \mathrm{~V}\)
  3. \(+18 \mathrm{~V}\)
  4. \(-18 \mathrm{~V}\)

Solution

Charge on spherical conductor, \(q=+\ln C\) \(=10^{-9} \mathrm{C}\) Radius, \(R=0.2 \mathrm{~m}\) Distance of point from spherical conductor, \(r=0.5 \mathrm{~m}\) \(\therefore\) Electric potential, \(V=\frac{1}{4 \pi \varepsilon_0} \cdot \frac{q}{r}\) \(=9 \times 10^9 \times \frac{10^{-9}}{0.5}=\frac{9}{0.5}=18 \mathrm{~V}\)

Asked in: AP EAMCET 2020 (21 Sep Shift 2)

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