The number of revolutions the electron completes in 60.0-μs of the strike is 134.
A magnetic field, a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. When a charge moves through a magnetic field, a force that is perpendicular to both its own velocity and the magnetic field operates on it.
Electrons go downward and positive ions move upward in a long, straight, vertical lightning stroke, creating a current of magnitude I = 20.0 kA.
A free electron travels through the air at a speed of v = 300 m/s at a place r = 50.0 m east of the stroke's center.
Let the magnetic field be B, and F be the magnetic force.
Counterclockwise horizontal arcs of field lines are produced by the upward lightning current.
We have, B = 8 × 10⁻⁵ T and;
The mass of an electron is, m = 9.11 × 10⁻³¹ kg
The time interval is Δt = 60 μs = 60 × 10⁻⁶
The angular frequency is given as:
ω = qB /m = 2πN / Δt
Where the number of revolutions is N.
So,
N = qBΔt /2πm
N = (l.60 × l0⁻¹⁹)(8 × l0⁻⁵)(60 × 10⁻⁶) / 2π(9.11 × 10⁻³¹ kg)
N = 134 revolutions
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