A conducting loop of negligible thickness and of radius \(a=6 \mathrm{~cm}\), carries a charge of \(q=4 \mu…

A conducting loop of negligible thickness and of radius \(a=6 \mathrm{~cm}\), carries a charge of \(q=4 \mu \mathrm{C}\). The electric field \((\mathrm{E})\) on the axis of symmetry of the loop at a distance of \(x=8 \mathrm{~cm}\) from the centre of loop is
  1. \(288 \times 10^{3} \mathrm{NC}^{-1}\)
  2. \(288 \times 10^{4} \mathrm{NC}^{-1}\)
  3. \(288 \times 10^{5} \mathrm{NC}^{-1}\)
  4. \(288 \times 10^{2} \mathrm{NC}^{-1}\)

Solution

\(E=\frac{k q x}{\left(a^{2}+x^{2}\right)^{3 / 2}}=288 \times 10^{4} N-C^{-1}\)
Here \(k=9 \times 10^{9} \mathrm{~N}-\mathrm{m}^{2}-\mathrm{coul}^{-2}\).

Asked in: JEE Mains - Electrostatics - Chapter Test

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