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JEE Main 202228 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
28 July
Shift
Morning Shift
Subject
Physics
Chapter
Capacitance

JEE Main 2022 · 28 July · Morning Shift · Physics · Capacitance

Two capacitors, each having capacitance 40 are connected in series....

Two capacitors, each having capacitance 40\muF40\muF are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant KK such that the equivalence capacitance of the system became 24\muF24\muF. The value of KK will be :Two capacitors, each having capacitance 40 are connected in series. The space between one of the capacitors is filled

Options

  1. A1.51 . 5
  2. B2.52 . 5
  3. C1.21 . 2
  4. D33

Correct answer

A. 1.51 . 5

Step-by-step solution

Two capacitors, each having capacitance 40 are connected in series. The space between one of the capacitors is filled

When a dielectric is inserted between the sheets of a capacitor, its capacitance becomes KCKC.

Now the equivalent capacitance in series combination will be,

Ceq=C×KCC(1+K)⇒24=40K1+K⇒K=1.5{C}_{eq} = \dfrac{C \times KC}{C\left(1 + K\right)} ⇒ 24 = \dfrac{40K}{1 + K} ⇒ K = 1 . 5

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