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A point charge Q is fixed at origin. A dipole of dipole moment $p \hat{i}$ is placed at (a, 0). If the dipole is slowly turned such that its dipole moment becomes $p \hat{j}$ and it is then slowly moved to (a, a), the external work done on it will be

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kpQa2(1−12)

kpQa2(1−122)

kpQa2(2−122)

kpQa2(1+122)

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detailed solution

Correct option is B

The interaction potential energy of the system is kpcosθQr2 For the initial situation r=a, θ=180o, :Ui=kpcosθr2Q=−kpa2QFor the final situation : r=a2, θ=135o ,Uf=kpcosθr2Q=kp2a2(−12)QWext=Ut−Ui=kpa2(1−122)Q

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A point charge Q is fixed at origin. A dipole of dipole moment pi^ is placed at (a, 0). If the dipole is slowly turned such that its dipole moment becomes pj^ and it is then slowly moved to (a, a), the external work done on it will be

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Ready to Test Your Skills?

free study material

A point charge Q is fixed at origin. A dipole of dipole moment $p \hat{i}$ is placed at (a, 0). If the dipole is slowly turned such that its dipole moment becomes $p \hat{j}$ and it is then slowly moved to (a, a), the external work done on it will be