Match the following - ( List-I List-II (P) Self-energy of a uniformly charged spherical shell (1) (1)/(8 π _0) (Q^2)/(R) (Q) Energy stored per unit volume of a charged air-filled capacitor (2) (1)/(2) _ 0 E² (R) Force

Correct answer: C. ( array |l|l|l|l| P & Q & R & S 1 & 4 & 2 & 3 array ( gathered U_ self =(K Q^2)/(2 R) Energy density =(1)/(2) _0 E^2 F=(Q^2)/(2 A _0) W_ field =U_i-U_i=(k Q^2)/(R)-0 W_ field =(k Q^2)/(R) gathered )

NEET

Exam: NEET
Subject: Physics
Chapter: Capacitance

NEET · Physics · Capacitance

Match the following - ( List-I List-II (P) Self-energy of a...

Match the following - (

	List-I		List-II
(P)	Self-energy of a
	uniformly charged
	spherical shell	(1)	$\frac{1}{8 \pi \varepsilon_0} \frac{Q^2}{R}$
(Q)	Energy stored per unit volume
	of a charged air-filled capacitor	(2)	$\frac{1}{2} \varepsilon_$ 0 E²
(R)	Force between two circular plates
	of a charged parallel-plate capacitor,
	radius of plates R, separation R/32	(3)	$\frac{1}{4 \pi \varepsilon_0} \frac{Q^2}{R}$
(S)	Work done by electric field in moving
	a point charge Q from the surface
	of a uniformly charged sphere of radius R
	to infinity, total charge Q	(4)	$\frac{1}{2} \varepsilon_$ 0 E²

)

Options

A( $\begin{array}{|l|l|l|l|} \hline \mathrm{P} & \mathrm{Q} & \mathrm{R} & \mathrm{ S} \\ \hline 3 & 1 & 4 & 2 \\ \hline \end{array}$
B( $\begin{array}{|l|l|l|l|} \hline \mathrm{P} & \mathrm{Q} & \mathrm{R} & \mathrm{ S} \\ \hline 2 & 1 & 3 & 4 \\ \hline \end{array}$
C( $\begin{array}{|l|l|l|l|} \hline \mathrm{P} & \mathrm{Q} & \mathrm{R} & \mathrm{ S} \\ \hline 1 & 4 & 2 & 3 \\ \hline \end{array}$
D( $\begin{array}{|l|l|l|l|} \hline \mathrm{P} & \mathrm{Q} & \mathrm{R} & \mathrm{ S} \\ \hline 4 & 1 & 2 & 3 \\ \hline \end{array}$

Correct answer

C. ( $\begin{array}{|l|l|l|l|} \hline \mathrm{P} & \mathrm{Q} & \mathrm{R} & \mathrm{ S} \\ \hline 1 & 4 & 2 & 3 \\ \hline \end{array}$

Step-by-step solution

(\begin{gathered} U_{\text{self }}=\frac{K Q^2}{2 R} \text{ Energy density }=\frac{1}{2} \varepsilon_0 E^2 \\ F=\frac{Q^2}{2 A \varepsilon_0} \quad W_{\text{field }}=U_i-U_i=\frac{k Q^2}{R}-0 \\ W_{\text{field }}=\frac{k Q^2}{R} \end{gathered})

Practice Capacitance on Quantrex Academy →

More from Capacitance