Lightning Current Discharge During A Storm

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{3}A_{32} Base Sequence = 12735 String Sequence = 12735 - 3 - 32 **

Expressions Of Pj Problems

Lightning Current Discharge During A Storm

Math

Pj Problems - Overview

Celestial Stars

The Number Line

Geometries

7 Spaces Of Interest - Overview

Triadic Unit Mesh

Creation

The Atom

Survival

Energy

Light

Heat

Sound

Music

Language

Stories

Work

States Of Matter

Buoyancy

Nuclear Reactions

Molecular Shapes

Electron Configurations

Chemical Bonds

Energy Conversion

Chemical Reactions

Electromagnetism

Continuity

Growth

Human-cells

Proteins

Nucleic Acids

COHN - Natures Engineering Of The Human Body

The Human-Body Systems

Vision

Walking

Behaviors

Sensors Sensings

Beauty

Faith, Love, Charity

Photosynthesis

Weather

Systems

Algorithms

Tools

Networks

Search

Differential Calculus

Antiderivative

Integral Calculus

Economies

Inflation

Markets

Money Supply

Painting

The surge of a discharge current of a cloud-to-ground lightning stroke during a storm takes 1 μs to reach its peak value of 100 kA. Thereafter, it dives to zero in 99 μs. (fig 2.33). Cloud-to-ground voltage before the discharge = 400 MV. There is an average of 18 such lightning strokes per hour during the storm.
Determine:

(a) The electric charge *Q*, discharged.

(b) The total energy *W* released and the average power P.

(c) The average power released in 1 hr.

**The string**:

(a) S_{7}P_{3}A_{32} (Force - Push).
**The math**:

Pj Problem of interest is of type *Force*. This is because we are interested in the amount of charge pushed to the ground by the lightning strokes. Problems of energy, charge, voltage. work, and power are of type *force*.

(a) Q = area under the graph of fig 2.33.

So, Q = (1/2)100 x 10^{-6} x 100 x 10^{3} = 5 C.

(b) Total energy released, W = energy stored in the electric field of the lightning stroke

Energy stored = (1/2)CV^{2} = (1/2)QV.

So, Energy released W = (1/2)QV = (5/2) x 4 x 10^{2} x 10^{6} = 10^{9 J}.

Duration of a single discharge = 100 μ secs

So, average power, P = (10^{9})/(100 x 10^{-6}) = 10^{13} Watts.

(c) Average power in 1 hour = (Total Energy x 18)/1hr
= (10^{9} x 18)/(36 x 10^{2} secs)

So, Average power in 1 hour = 5 MW.

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

Single Variable Functions

Conics

Ordinary Differential Equations (ODEs)

Vector Spaces

Real Numbers

The Universe is composed of *matter* and *radiant energy*. *Matter* is any kind of *mass-energy* that moves with velocities less than the velocity of light. *Radiant energy* is any kind of *mass-energy* that moves with the velocity of light.

Periodic Table

Composition And Structure Of Matter

How Matter Gets Composed

How Matter Gets Composed (2)

Molecular Structure Of Matter

Molecular Shapes: Bond Length, Bond Angle

Molecular Shapes: Valence Shell Electron Pair Repulsion

Molecular Shapes: Orbital Hybridization

Molecular Shapes: Sigma Bonds Pi Bonds

Molecular Shapes: Non ABn Molecules

Molecular Orbital Theory

More Pj Problem Strings