SATHEE: Electrostatics Question 795

Electrostatics Question 795

Question: Each corner of a cube of side l has a negative charge, -q. The electrostatic potential energy of a charge q at the center of the cube is

Options:

A) $- \frac{4 q^{2}}{\sqrt{2} π ε_{0} l}$

B) $\frac{\sqrt{3} q^{2}}{4 π ε_{0} l}$

C) $\frac{4 q^{2}}{\sqrt{2} π ε_{0} l}$

D) $- \frac{4 q^{2}}{\sqrt{3} π ε_{0} l}$

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Length of body diagonal $= \sqrt{3} ℓ$

$∴$ Distance of center of cube from each comer $r = \frac{\sqrt{3}}{2} ℓ$

$P .E . at center= 8!! \times!! Potential Energy due to$

$A = 8 \times \frac{K q \times (- q)}{r}$

$= 8 \times \frac{1}{4 π ε_{0} \sqrt{3} ℓ} \times 2 \times q \times (- q) = \frac{- 4 q^{2}}{\sqrt{3} π ε_{0} ℓ}$

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Electrostatics Question 795

Question: Each corner of a cube of side l has a negative charge, -q. The electrostatic potential energy of a charge q at the center of the cube is

Options:

Answer:

Solution:

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