SATHEE: Electrostatics Question 716

Electrostatics Question 716

Question: An electric quadrupole, with quadruple moment $(Q = 2 q ℓ^{2}) .$ The electric field at a distance from its center at the axis of the quadrupole is given by

Options:

A) $(\frac{1}{4 π \in_{0}}) \frac{Q}{r^{4}}$

B) $(\frac{1}{4 π \in_{0}}) \frac{2 Q}{r^{4}}$

C) $(\frac{1}{4 π \in_{0}}) \frac{3 Q}{r^{4}}$

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $E = \frac{1}{4 π \in_{0}} [\frac{2 p}{{(r - ℓ / 2)}^{3}} - \frac{2 p}{{(r + ℓ / 2)}^{3}}]$

$= \frac{1}{4 π \in_{0}} \frac{3 Q}{r^{4}} .$

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Electrostatics Question 716

Question: An electric quadrupole, with quadruple moment (Q=2qℓ2). The electric field at a distance from its center at the axis of the quadrupole is given by

Options:

Answer:

Solution:

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Question: An electric quadrupole, with quadruple moment $(Q = 2 q ℓ^{2}) .$ The electric field at a distance from its center at the axis of the quadrupole is given by