JEE MAINS PHYSICS QUESTION SEPTEMBER 2020
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option a is ur answer ........
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we have to find the charge on capacitor 5μF
solution : see diagram, here it is clear that potential at A is zero.
let potential at C = x
charge on 2μF = q₁
charge on 4μF = q₂
charge on 5μF = q₃
total charge within region (as shown in diagram) = 0
⇒-q₁ + q₂ + q₃ = 0
we know, charge = potential × capacitor
so, q₁ = 2(6 - x)
q₂ = 4(x - 6)
and q₃ = 5(x - 0)
now, -2(6 - x) + 4(x - 6) + 5x = 0
⇒-12 + 2x + 4x - 24 + 5x = 0
⇒11x - 36 = 0
⇒x = 36/11
so, charge on 5μF = 5x = 5 × 36/11 = (180/11)μC
Therefore the correct option is (3)
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