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Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

The effective capacitance between $A$ and $B$ of an infinite chain of capacitors joined as shown in the figure -

Options:

Answer:

Solution:

$C_{e q} = \frac{C (C + C_{e q})}{C + C + C_{e q}}$

$= C^{2} + C C_{e q} = 2 C C_{e q} + C_{e q}^{2}$

$C_{e q}^{2} + C C_{e q} - C^{2} = 0 \Rightarrow C_{e q} = \frac{- C \pm \sqrt{C^{2} + 4 C^{2}}}{2}$

$= (\frac{\sqrt{5} - 1}{2}) C$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:ElectrostaticsSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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