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Potential at a General Point Due to a Dipole

Choose the co...

Question

Choose the correct relation regarding potential. Here A, B, C and D all are at equal distance from point O, figure. Then ( Assume the dipole to be short)

| V_{A} | = | V_{B} |

| V_{C} | = | V_{D} |

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| V_{C} | = | V_{D} |

| V_{A} | = | V_{B} |

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| V_{A} |

| V_{C} |

| V_{D} |

| V_{B} |

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| V_{C} |

| V_{B} |

| V_{D} |

| V_{B} |

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Solution

The correct option is A $| V_{A} | = | V_{B} |$ > $| V_{C} | = | V_{D} |$
As is clear from figure, A, B lie on axial line and C, D lie on equatorial line of dipole.

$∴ | V_{A} | = | V_{B} | a n d | | V_{C} | = | V_{D} | |$
As potential on axial line is higher and on equatorial line, V = 0, therefore, out of given choices, most appropriate is $| V_{A} | = | V_{B} |$ > $| V_{C} | = | V_{D} |$ .

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