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Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A system consists of four equal charges $- Q$ placed at the four corners of a square and another charge $q$ is placed at the centre of the square, then the value of $q$ for which the system is in equilibrium, is

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Answer:

Solution:

If the system is in equilibrium then the potential energy of the system will be zero

$\frac{4}{2} \times [2 (\frac{Q^{2}}{4 π ε_{0} a}) + \frac{Q^{2}}{4 π ε_{0} \sqrt{2} a}] - 4 \times [\frac{1}{4 π ε_{0}} \frac{Q q^{}}{\frac{a}{\sqrt{2}}}] = 0$

$\Rightarrow q = \frac{Q}{4} (1 + 2 \sqrt{2})$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:ElectrostaticsSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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