Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202226 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
26 July
Shift
Morning Shift
Subject
Physics
Chapter
Capacitance

JEE Main 2022 · 26 July · Morning Shift · Physics · Capacitance

A composite parallel plate capacitor is made up of two different...

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness (t1{t}_{1} and t2{t}_{2}) as shown in figure. The two different dielectric material are separated by a conducting foil FF. The voltage of the conducting foil is _____ VV.

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness ( t _ 1

Correct answer

0

Step-by-step solution

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness ( t _ 1

Capacitance of each capacitor

C1=A3ε012=6Aϵ0{C}_{1} = \dfrac{A3{ε}_{0}}{\dfrac{1}{2}} = 6A{ϵ}_{0} and C2=A4ϵ01=4Aε0{C}_{2} = \dfrac{A4{ϵ}_{0}}{1} = 4A{ε}_{0}

Here, AA is area of plate.

Equivalent capacitance is

Ceq=C1C2C1+C2=6Aε0×4Aε06Aε0+4Aε0=2410Aϵ0{C}_{eq} = \dfrac{{C}_{1}{C}_{2}}{{C}_{1} + {C}_{2}} = \dfrac{6A{ε}_{0} \times 4A{ε}_{0}}{6A{ε}_{0} + 4A{ε}_{0}} = \dfrac{24}{10}A{ϵ}_{0}

Now, net charge stored is qnet=Ceq(ΔV)=2410Aε0(100)=240Aε0{q}_{net} = {C}_{eq}\left(\Delta V\right) = \dfrac{24}{10}A{ε}_{0}\left(100\right) = 240A{ε}_{0}

Potential drop across C2{C}_{2} is ΔV2=240Aε04Aε0=60V\Delta{V}_{2} = \dfrac{240A{ε}_{0}}{4A{ε}_{0}} = 60V

Thus, voltage of the conducting foil is Vfoil=60V{V}_{foil} = 60V

Practice Capacitance on Quantrex Academy →

More from Capacitance

Passage: A container of height 2 m, length 2 m and breadth 1 m is made of insulating… JEE Advanced 2026A parallel plate capacitor is having separation between plates 0.885 mm. It has a… JEE Main 2026A sphere of capacitance 100 pF is charged to a potential of 100 V. Another identical… JEE Main 2026From the circuit given below, the capacitance between terminals A and B shown in the… JEE Main 2026A parallel plate air capacitor is connected to a battery. The plates are pulled apart at… JEE Main 2026Consider a circuit consisting of a capacitor ( 20\ μ F), resistor ( 100\ Ω ) and two… JEE Main 2026The dimensional formula of (1)/(2)ε_0 E^2 ( ε_0 = permittivity of vacuum and E = electric… JEE Main 2026A parallel plate air capacitor has a capacitance C . When it is half filled as show in… JEE Main 2026 Full Capacitance list All JEE Main PYQs