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Grade 12th passElectrostatics

Please find the solution to the questuon. Please
What is the ratio of energies stored in capacitors 5 microfarad and 4 microfarad at staedy state?

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Profile image of Gautham krishna
7 Years agoGrade 12th pass
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1 Answer

Profile image of Vikas TU
7 Years ago
At steady state both the capacitors would behave as open circuit.
Hence the two resitances would be in series, the voltage flowing in them would be:
V5ohm = (5/(5+4))*2 => 10/9 V
V4ohm = 2 – 10/9 => 8/9 V
 
Since the capacitors are in parallel with the resistances they would have same voltage across them.
Energy stored across 5 uF => 0.5*5*(8/9)^2
Energy across 4uF => 0.5*4*(10/9)^2
 
Ratio => (5*(8/9)^2)/(4*(10/9)^2)
        => 8/10
       => 4/5