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. The magnetic force Fg acting on the charge is always directed toward the center of the circle. Bin + 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 = 51.0 m from the stroke, and a typical electron speed in the air is v = 350 m/s. 8.5E-6 Find the magnetic fiold at the given distance from the lightning stroke and tben find the orbit radius of an olectron in a fiold

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Chapter30: Nuclear Physics
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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.
The magnetic force Fg acting on
the charge is always directed
toward the center of the circle.
Bin
FR
FR
FB
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 = 51.0 m from the stroke, and a typical electron speed in the air is v = 350 m/s.
8.5E-6
Find the magnetic field at the given distance from the lightning stroke and then find the orbit radius of an electron in a field
of that magnitude. m
Transcribed Image Text: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. The magnetic force Fg acting on the charge is always directed toward the center of the circle. Bin FR FR FB 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 = 51.0 m from the stroke, and a typical electron speed in the air is v = 350 m/s. 8.5E-6 Find the magnetic field at the given distance from the lightning stroke and then find the orbit radius of an electron in a field of that magnitude. m
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