SATHEE: Electrostatics Question 376

Electrostatics Question 376

Question: Two equal charges $q$ are placed at a distance of $2 a$ and a third charge $- 2 q$ is placed at the midpoint. The potential energy of the system is [MP PMT 1997]

Options:

A) $\frac{q^{2}}{8 π ε_{0} a}$

B) $\frac{6 q^{2}}{8 π ε_{0} a}$

C) $- \frac{7 q^{2}}{8 π ε_{0} a}$

D) $\frac{9 q^{2}}{8 π ε_{0} a}$

Show Answer

Answer:

Correct Answer: C

Solution:

$U_{s y s t e m} = \frac{1}{4 π ε_{0}} \frac{(q) (- 2 q)}{a} + \frac{1}{4 π ε_{0}} \frac{(- 2 q) (q)}{a} + \frac{1}{4 π ε_{0}} \frac{(q) (q)}{2 a}$

$U_{s y s t e m} = - \frac{7 q^{2}}{8 π ε_{0} a}$

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Electrostatics Question 376

Question: Two equal charges q are placed at a distance of 2a and a third charge −2q is placed at the midpoint. The potential energy of the system is [MP PMT 1997]

Options:

Answer:

Solution:

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Question: Two equal charges $q$ are placed at a distance of $2 a$ and a third charge $- 2 q$ is placed at the midpoint. The potential energy of the system is [MP PMT 1997]