Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2018-Paper-1 Three identical capacitors C 1 , C 2 and C 3…
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2018-Paper-1 Numeric Response
Published on: August 14, 2026

Three identical capacitors C 1 , C 2 and C 3 have a capacitance of 1.0 F each and they are uncharged initially. They are connected in a circuit as shown in the figure and C 1 is then filled completely with a dielectric material of relative permittivity . The cell electromotive force (emf) V 0 = 8K First the switch S 1 is closed K while the switch S 2 is kept open. When the capacitor C 3 is fully charged, S 1 is opened and S 2 is closed simultaneously. When all the capacitors reach equilibrium, the charge on C 3 is found to be 5 C. The value of =_________.

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The correct answer is:
1.50

(1.50)

After S 1 is closed, C 3 has charge 8 C. when S 1 opened and S 2 closed, C 3 has charge 5 C. so remaining 3 C resides on C 1 and C 2

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