LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
17 views
in Physics by (24.3k points)
Assume that clouds are distributed around the entire earth at a height of `3000 m` above the ground. The atmosphere can be modeled as a spherical capacitor with the earth as one plate and the cloud as other. When the electric field between the earth and the cloud becomes large, the air begins to conduct and the phenomena is called lightning. On a typical day `4 xx 10^(5) C` of positive charge is spread over the surface of the earth and equal amount of negative charge is there on the cloud. Resistivity of the air is `rho = 3 xx 10^(13) Omega m` and radius of the earth `= 6000 km`.
(a) Find the resistance of the air gap between the earth’s surface and cloud.
(b) Estimate the potential difference between the surface of the earth and the cloud
(c) In how much time the capacitor formed between the earth and the cloud will lose 63 % of the charge ?

Please log in or register to answer this question.

1 Answer

0 votes
by (24.2k points)
Correct Answer - (a) `199 Omega`
(b) `3 xx 10^(5)V`
(c) `165.3 s`

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...