Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2016PhysicsCapacitanceActual

A parallel plate capacitor of area ' A ' plate separation ' d ' is filled with two dielectrics as shown. What is the capacitance of the arrangement?

Options

  1. A3 K ₀ A 4 d
  2. B4 K ₀ A 3 d
  3. C(K+1) ₀ A 2 d
  4. DK(K+3) ₀ A 2(K+1) d

Correct answer

D. K(K+3) ₀ A 2(K+1) d

Step-by-step solution

c₁= (A / 2) ₀ d / 2 = A ₀ d , c₂=K A ₀ d , c₃=K A ₀ 2 d c_ e q . = c₁ c₂ c₁+c₂ +c₃= (3+ K ) K A ₀ 2 d( ~K +1) ( C₁ . and C₂ are in series and resultant of these two in parallel with C₃ )

Practice Capacitance on Quantrex Academy →

More from Capacitance

A parallel plate capacitor with plate area A and plate separation d=2 ~m has a capacitance of 4 ~F . The new capacitance of the system if half of the space between them is filled w 2024A capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is: 2023The work done in placing a charge of 8 10⁻¹⁸ coulomb on a condenser of capacity 100 microfarad is 2023In a given network the equivalent capacitance between A and B is C₁=C₄=1 F, C₂=C₃=2 F . 2021In the circuit given below, the charge in C , on the capacitor having 5 F is 2020When a capacitor is fully charged as shown in the following figure, then current drawn from the cell is 2019A charged capacitor of capacitance C is discharging through a resistor of resistance R . At what time the charge on the capacitor is equal to one half of its initial value? 2019A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K = 2 , the level of liquid is d 3 , initially. Suppose, the l 2018 Full Capacitance list All BITSAT PYQs