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MHT CET 2023 (14 May, Shift 2) · Dielectrics

Dielectrics question from MHT CET 2023 (14 May, Shift 2)

Q56MHT CET 2023 · 14 MAY · SHIFT 2Easy

Dielectrics

A parallel plate capacitor with air medium between the plates has a capacitance of 10μF10\mu\text{F}. The area of capacitor is divided into two equal halves and filled with two media (as shown in figure) having dielectric constant K1=2K_1 = 2 and K2=4K_2 = 4. The capacitance of the system will be

Figure

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Answer: (c)

  1. The area is split into two halves, each filling the full gap, so they are in parallel.
  2. Each half with air: 5 μF5\ \mu\text{F}; with dielectrics: 2×5=10 μF2 \times 5 = 10\ \mu\text{F} and 4×5=20 μF4 \times 5 = 20\ \mu\text{F}.
  3. C=10+20=30 μFC = 10 + 20 = 30\ \mu\text{F}.
  4. So the answer is (c) 30 μF30\ \mu\text{F}.
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