The area of a cloud is 25 times 10^6 m^2 and | vedclass

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

Question

(D) The cloud and the earth form a parallel plate capacitor.The energy stored in the electric field is given by $U = \frac{1}{2} \epsilon_0 E^2 	imes

Vedclass · Accepted Answer

$1475$

Vedclass · Answer

(D) The cloud and the earth form a parallel plate capacitor.The energy stored in the electric field is given by $U = \frac{1}{2} \epsilon_0 E^2 	imes 	ext{Volume}$.Here, $E = \frac{V}{d}$, where $V = 10^5\ V$ and $d = 0.75\ km = 750\ m$.The volume of the space between the cloud and the earth is $V_{ol} = A 	imes d$, where $A = 25 	imes 10^6\ m^2$.Substituting these values into the energy formula:$U = \frac{1}{2} \epsilon_0 \left( \frac{V}{d} ight)^2 	imes (A 	imes d) = \frac{1}{2} \epsilon_0 \frac{V^2 A}{d}$.$U = \frac{1}{2} 	imes (8.85 	imes 10^{-12}) 	imes \frac{(10^5)^2 	imes 25 	imes 10^6}{750}$.$U = \frac{1}{2} 	imes 8.85 	imes 10^{-12} 	imes \frac{10^{10} 	imes 25 	imes 10^6}{750} = \frac{8.85 	imes 25 	imes 10^4}{1500} \approx 1475\ J$.

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.....$J$

Similar Questions

$A$ $10 \, pF$ capacitor is connected to a $50 \, V$ battery. How much electrostatic energy is stored in the capacitor?

$A$ $5.0 \mu F$ capacitor is charged to a potential difference of $800 V$ and discharged through a conductor. The energy (in $J$) given to the conductor during the discharge is:

Three identical capacitors are combined in different ways. For the same voltage applied to each combination,the one that stores the greatest energy is:

The energy of a parallel plate capacitor when connected to a battery is $E$. With the battery still in connection,if the plates of the capacitor are separated so that the distance between them is twice the original distance,then the electrostatic energy becomes

The amount of work done in increasing the voltage across the plates of a capacitor from $5 V$ to $10 V$ is $W$. The work done in increasing it from $10 V$ to $15 V$ will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module