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Dielectric inserted into one of two parallel capacitors after the battery is removed: common potential

This type of question, asked 3 times: 2021 Paper 16, 25 Jul 2022, 31 Jan 2023. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 16

    6
    Two capacitor C1C_{1} with capacitor 2C2C, and C2C_{2} with capacitance CC are connected in parallel. They are charged and then the battery is removed. If a material of dielectric constant KK is inserted in C2C_{2}, find final potential across them

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  2. Question 2

    25 Jul 2022

    118
    Two parallel plate capacitors of capacity CC and 3C3C are connected in parallel combination and charged to a potential difference 18 V18\text{ }V. The battery is then disconnected and the space between the plates of the capacitor of capacity CC is completely filled with a material of dielectric constant 9. The final potential difference across the combination of capacitors will be ____\_\_\_\_ VV

  3. Question 3

    31 Jan 2023

    114
    Two parallel plate capacitors C1C_{1} and C2C_{2} each having capacitance of 10μF10\mu F are individually charged by a 100 V D.C. source. Capacitor C1C_{1} is kept connected to the source and a dielectric slab is inserted between it plates. Capacitor C2C_{2} is disconnected from the source and then a dielectric slab is inserted in it. Afterwards the capacitor C1C_{1} is also disconnected from the source and the two capacitors are finally connected in parallel combination. The common potential of the combination will be ____\_\_\_\_ VV. (Assuming Dielectric constant =10= 10 )