The charge q on a capacitor varies with volta | vedclass

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

Question

(D) The energy stored in a capacitor is given by the work done in charging it. For a capacitor,the charge $q$ is directly proportional to the potentia

Vedclass · Accepted Answer

energy stored in the capacitor

Vedclass · Answer

(D) The energy stored in a capacitor is given by the work done in charging it. For a capacitor,the charge $q$ is directly proportional to the potential difference $V$,i.e.,$q = CV$. The graph shows a linear relationship between $V$ and $q$. The area under the $V-q$ graph represents the work done,which is stored as potential energy $U$ in the capacitor. Area of $\Delta OPM = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes q 	imes V$. Since $U = \frac{1}{2} qV$,the area of $\Delta OPM$ represents the energy stored in the capacitor.

The charge $q$ on a capacitor varies with voltage $V$ as shown in the graph. The area of $\Delta OPM$ represents:

Similar Questions

If the charge on the capacitor is increased by $3 \ C$,the energy stored in it increases by $21 \%$. The original charge on the capacitor is (in $C$)

The area of a cloud is $25 \times 10^6\ m^2$ and the electric potential is $10^5\ V$. If the height of the cloud is $0.75\ km$, then the energy stored between the cloud and the earth is.....$J$

$A$ capacitor has a capacity of $2\,\mu F$ and is charged to a voltage of $50\,V$. The energy stored is:

For a capacitor with area $A$ and potential difference $V$ separated by a distance $d$,the energy per unit volume is:

When a parallel plate capacitor is fully charged by a battery,the potential difference between the two plates becomes equal to the electromotive force $(EMF)$ of the battery. What is the ratio of the energy stored in the capacitor to the work done by the battery?

Vedclass Test Series

Exam Paper Generator

Online Exam Module