Two identical thin rings, each of radius R metres, are coaxially placed a distance R…

Physics · JEE Advanced · NTA ExamsElectrostatics

Two identical thin rings, each of radius R metres, are coaxially placed a distance R metres apart. If Q1 coul, and Q2 coul, are respectively the charges uniformly spread on the two rings, the work done in moving a charge from the centre of one ring to that of the other is
  1. zero
  2. \(\frac{\mathrm{q}\left(\mathrm{Q}_{1}-\mathrm{Q}_{2}\right)(\sqrt{2}-1)}{\left(4 \sqrt{2} \pi \varepsilon_{0} \mathrm{R}\right)}\)
  3. \(\frac{\mathrm{q} \sqrt{2}\left(\mathrm{Q}_{1}-\mathrm{Q}_{2}\right)}{\left(4 \pi \varepsilon_{0} \mathrm{R}\right)}\)
  4. \(\frac{\mathrm{q}\left(\mathrm{Q}_{1}+\mathrm{Q}_{2}\right)(\sqrt{2}+1)}{\left(4 \sqrt{2} \pi \varepsilon_{0} \mathrm{R}\right)}\)

Answer

(B) q ( Q _ 1 - Q _ 2 )( 2 -1) (4 2 _ 0 R )

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