Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

NEET 2008

Exam: NEET
Year: 2008
Subject: Physics
Chapter: Capacitance

NEET 2008 · Physics · Capacitance

The energy required to charge a parallel plate condenser of plate...

The energy required to charge a parallel plate condenser of plate separation d and plate area of cross-section

A

such that the uniform electric field between the plates is

E

, is

Options

A $\frac{1}{2} \varepsilon_0 E^2 / A d$
B $\varepsilon_0 E^2 / A d$
C $\varepsilon_0 E^2 A d$
D $\frac{1}{2} \varepsilon_0 E^2 A d$

Correct answer

C. $\varepsilon_0 E^2 A d$

Step-by-step solution

Energy given by the cell

E=C V^2

Here,

C=capacitance of

condenser =

\frac{A \varepsilon_0}{d}

V=

potential difference across the plates

=E d

Therefore,

\begin{aligned} E & =\left(\frac{A \varepsilon_0}{d}\right)(E d)^2 \\ & =A \varepsilon_0 E^2 d \end{aligned}

$

Practice Capacitance on Quantrex Academy →

More from Capacitance

A parallel plate capacitor of area A, plate separation d and capacitance C is filled with… MHT CET Medical 2026 Three identical parallel plate air capacitors are connected in series to a battery of… MHT CET Medical 2026 Four identical capacitors are joined in series, across a battery of 20\ V . The… MHT CET Medical 2026 The equivalent capacitance between 'P' and 'Q' is [A-area of each plate, d-separation… MHT CET Medical 2026 The air capacitor has a capacitance of 2μ F. Now the space between two plates of… MHT CET Medical 2026 A parallel-plate air capacitor has a capacity ' C ', distance with a separation ' x ', a… MHT CET Medical 2026 A series combination of 10 capacitors, each of value ' C_1 ' is charged by a source of… MHT CET Medical 2026 Two capacitors of capacity C and C/3 are connected to a battery of voltage V as shown.… MHT CET Medical 2026 Full Capacitance list All NEET PYQs