(D) The area of the triangle $AOB$ in the $V-q$ graph is given by:Area $= \frac{1}{2} \times \text{base} \times \text{height}$Area $= \frac{1}{2} \tim

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(D) The area of the triangle $AOB$ in the $V-q$ graph is given by:Area $= \frac{1}{2} \times \text{base} \times \text{height}$Area $= \frac{1}{2} \times q \times V$We know that the energy stored in a capacitor is given by $U = \frac{1}{2} qV$.Therefore,the area of the triangle $AOB$ is equal to the energy stored by the capacitor.Thus,the area is proportional to the energy stored by the capacitor.

Class 12 Physics Electric Potential and Capacitance Energy Stored in a Capacitor

Medium

The charge $q$ on a capacitor varies with voltage $V$ as shown in the figure. The area of the triangle $AOB$ is proportional to

A
electric field between the plates
B
electric flux between the plates
C
energy density
D
energy stored by the capacitor

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Electric Potential and Capacitance

Subtopic

Energy Stored in a Capacitor

If $W$ amount of work is required to increase the voltage of a capacitor from $5\ V$ to $10\ V$,how much work is required to increase the voltage from $10\ V$ to $15\ V$ (in $W$)?

Medium

View Solution

$A$ parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If $x$ is the separation between the plates,the time rate of change of electrostatic energy of the capacitor is proportional to

Medium

View Solution

In the figure,the charge on the capacitor is plotted against the potential difference across the capacitor. The capacitance and energy stored in the capacitor are respectively:

MediumKCET 2021

View Solution

$A$ capacitor of capacity $50\,\mu F$ is charged to $10\;V$. Its energy is equal to:

Easy

View Solution

If the charge on the capacitor is increased by $3 \ C$,the energy stored in it increases by $44 \%$. The original charge on the capacitor is (in $C$)

MediumMHT CET 2023

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The charge $q$ on a capacitor varies with voltage $V$ as shown in the figure. The area of the triangle $AOB$ is proportional to

Similar Questions

If $W$ amount of work is required to increase the voltage of a capacitor from $5\ V$ to $10\ V$,how much work is required to increase the voltage from $10\ V$ to $15\ V$ (in $W$)?

$A$ parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If $x$ is the separation between the plates,the time rate of change of electrostatic energy of the capacitor is proportional to

In the figure,the charge on the capacitor is plotted against the potential difference across the capacitor. The capacitance and energy stored in the capacitor are respectively:

$A$ capacitor of capacity $50\,\mu F$ is charged to $10\;V$. Its energy is equal to:

If the charge on the capacitor is increased by $3 \ C$,the energy stored in it increases by $44 \%$. The original charge on the capacitor is (in $C$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module