You have been hired by a "storm chaser" as an assistant. This individual loves to find locations at which tornadoes and

[answerhappygod]

You have been hired by a "storm chaser" as an assistant. This
individual loves to find locations at which tornadoes and violent
lightning storms are occurring. While there, he takes photographs
and makes electromagnetic measurements. You and he are observing a
massive lightning storm in Oklahoma. The storm chaser has a new
theory that nucleus-free atoms are
formed for the very short time interval during a lightning strike.
He asks you to evaluate his theory, which goes something like this:
In a long, straight, vertical lightning stroke, electrons move
downward and positive ions move upward and constitute a current of
magnitude I. At a location in the air a
distance R from the middle of the stroke a free
electron drifts through the air toward the stroke with a
speed v. While the current in the lightning stroke
exists, a strong magnetic field exists at the position of the
electron and causes it to move in a circular path like that in the
figure below, with its plane perpendicular to the ground.
A uniform magnetic
field, vector Bin, points
into the page. A dashed circle of radius r lies
in the plane of the page, perpendicular
to vector Bin. A
positive charge q is shown in three different
positions as it moves counterclockwise around the circle.
The magnetic
force vector FB acting
on the charge is always directed toward the center of the
circle.
The storm chaser hypothesizes that the
radius r of the circular path is so small
compared to R that the field in which the
electron moves is essentially uniform. The circulating electron
would be like that of an electron in an atom in simplified theories
of the atom, but without a nucleus! While he photographs the
lightning, he asks you to determine the radius (in m) of the
circular path of the electron to see if it is atomic-sized. He
estimates the current in the lightning strike
is I = 19.0 kA, the electrons are
located at a
position R = 56.0 m from the
stroke, and a typical electron speed in the air
is v = 450 m/s.
m
The magnetic force Fg acting on the charge is always directed toward the center of the circle. Bin X x x > x 1 9 X X x FB Fв. x + 9 1 1 FB x X + + x 9 X X