Two identical thin rings, each of radius R metre are $$co-axially$$ placed at distance R metre apart. If $$Q1$$ and $$Q2$$ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of the other is :

Question

Infinity Learn · Accepted Answer

Potential energy of point charge placed on the axial line of the ring is $$U=q4$$πε$$0QR2+x2Ui=q4$$πε$$0Q1R+Q22RUf=q4$$πε$$0Q2R+Q12R$$ ; $$W=Uf-Ui$$ $$=q4$$πε$$0Q2R+Q12R-q4$$πε$$0Q1R+Q22R$$ $$=q42$$πε$$0RQ2-Q12-1$$     $$Q1-Q2$$ or $$Q2-Q1$$ depends on starting and beginning of q

Two identical thin rings, each of radius R metre are co-axially placed at distance R metre apart. If Q₁and Q₂ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of the other is :

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Two identical thin rings, each of radius R metre are co-axially placed at distance R metre apart. If Q1 and Q2 coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of the other is :

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Ready to Test Your Skills?

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Two identical thin rings, each of radius R metre are co-axially placed at distance R metre apart. If Q₁and Q₂ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of the other is :