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In the given circuit, charge Q2 on the 2 μF capacitor changes as C is varied from 1 μF to 3 μF. Q2 as a function of 'C' is given properly by: (figures are drawn schematically and are not to scale)
PhysicsCapacitanceJEE Main
Options:
  • A
  • B
  • C
  • D
Solution:
2219 Upvotes Verified Answer
The correct answer is:


1 μF & 2 μF are in parallel.



  The equivalent capacitance of the series combination is, Ceq is=3CC+3. So, the total charge supplied by the battery is, 
Q=CeqE=3CEC+3. The potential difference across the parallel combination of 1 μF and 2μF is, V=Q3=CEC+3. So charge on 2 μF capacitor is, Q2=C2V=2CEC+3Q22E=CC+3Q22E=C+3-3C+3

Q22E=1-3C+3⇒ So the graph is a hyperbola. With downward curve line. i.e.

 

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