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MHT CET 2020 (16 Oct, Shift 1) · Dielectrics

Dielectrics question from MHT CET 2020 (16 Oct, Shift 1)

Q87MHT CET 2020 · 16 OCT · SHIFT 1Easy

Dielectrics

The capacitance of a parallel plate capacitor with air as medium is 3 μF3\ \mu\text{F}. With the introduction of a dielectric medium between the plates, the capacitance becomes 15 μF15\ \mu\text{F}. The permittivity of the medium in SI\text{SI} unit is [ε0=8.85×10−12 SI[\varepsilon_0 = 8.85 \times 10^{-12}\text{ SI} unit]

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Answer: (b)

  1. K=CC0=153=5K = \frac{C}{C_0} = \frac{15}{3} = 5.
  2. ε=Kε0=5×8.85×10−12=4.425×10−11\varepsilon = K\varepsilon_0 = 5 \times 8.85 \times 10^{-12} = 4.425 \times 10^{-11}
  3. =0.4425×10−10= 0.4425 \times 10^{-10} SI unit.
  4. So the answer is (b) 0.4425×10−100.4425 \times 10^{-10}.
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