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The electric potential due to a linear quadrupole varies inversely with distance ‘r’ as :-
- a)r
- b)r2
- c)r3
- d)none of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The electric potential due to a linear quadrupole varies inversely wit...
The potential at the point 'P ' is v =
Q = 2qa2 → Quardrupole moment of charge distribution
thus v is inversely proportional to r3 & not r-3
Most Upvoted Answer
The electric potential due to a linear quadrupole varies inversely wit...
From the center of the quadrupole. Specifically, the electric potential V at a distance r from the center of the quadrupole is given by:
V = kQr^-1
where Q is the quadrupole moment and k is a constant that depends on the units used. The quadrupole moment is a measure of the distribution of charge in the quadrupole, and it determines the strength of the electric field produced by the quadrupole.
The inverse distance dependence of the electric potential due to a linear quadrupole can be understood by considering the geometry of the quadrupole. A linear quadrupole consists of two equal and opposite charges separated by a distance d, and two additional charges of equal magnitude but opposite sign located at a distance 2d from the center of the quadrupole. The electric field produced by the quadrupole is strongest along the axis connecting the two charges, and it decreases rapidly with increasing distance from this axis. As a result, the electric potential due to the quadrupole decreases inversely with distance from the center of the quadrupole.
V = kQr^-1
where Q is the quadrupole moment and k is a constant that depends on the units used. The quadrupole moment is a measure of the distribution of charge in the quadrupole, and it determines the strength of the electric field produced by the quadrupole.
The inverse distance dependence of the electric potential due to a linear quadrupole can be understood by considering the geometry of the quadrupole. A linear quadrupole consists of two equal and opposite charges separated by a distance d, and two additional charges of equal magnitude but opposite sign located at a distance 2d from the center of the quadrupole. The electric field produced by the quadrupole is strongest along the axis connecting the two charges, and it decreases rapidly with increasing distance from this axis. As a result, the electric potential due to the quadrupole decreases inversely with distance from the center of the quadrupole.
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The electric potential due to a linear quadrupole varies inversely with distance ‘r’as :-a)rb)r2c)r3d)none of theseCorrect answer is option 'D'. Can you explain this answer?
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