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Capacitor with dielectrics side by side, each filling part of the plate area

This type of question, asked 3 times: 9 May 2024 S1, 14 May 2024 S2, 26 Apr 2025 S1. All 3 questions below, oldest first.

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  1. Question 1

    9 May 2024 S1

    16
    The capacitance of a parallel plate capacitor is 2.5 μF2.5\,\mu F. When it is half filled with a dielectric as shown in figure, its capacitance becomes 5 μF5\,\mu F. The dielectric constant of the dielectric is

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  2. Question 2

    14 May 2024 S2

    4
    A parallel plate capacitor with air medium between the plates has a capacitance of 10 μF10\,\mu F. The area of capacitor is divided into two equal halves & filled with two media having dielectric constant K1=2K_1 = 2 & K2=4K_2 = 4. The capacitance of the system will be

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  3. Question 3

    26 Apr 2025 S1

    22
    The capacity of air-filled parallel plate capacitor is C0C_{0}. One-half of the space between the plates is filled with a dielectric constant ' K ' as shown in figure. The new capacity becomes CnC_{n}. The ratio CnC_{n} to C0C_{0} is

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