A time-varying magnetic field with the law B = uz(0.05t²–0.2t) [T] is defined in a cylindrical region of radius R = 5 cm; in this region %3D the field is uniform and parallel to the axis. Calculate: 1) the force acting on a (stationary) electron at distance ŋ = 0.04 m from the center of the axis at the instant t =4 s; 2) the force F2 which F1 acts at the same instant at a distance r2 = 0.07 m from the center; %3D 3) the instant in which the force is zero at any distance.

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Chapter1: Units, Trigonometry. And Vectors
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If possible i'd like a detailed solution for this question, with the name of equations used to solve and a bit of an explanation, thank you
A time-varying magnetic field with the law B = u;(0.05t² –0.2t) [T]
is defined in a cylindrical region of radius R = 5 cm; in this region
%3D
the field is uniform and parallel to the axis. Calculate: 1) the force
F1 acting on a (stationary) electron at distance ŋ = 0.04 m from
the center of the axis at the instant ti = 4 s; 2) the force F2 which
acts at the same instant at a distance r2 = 0.07 m from the center;
3) the instant in which the force is zero at any distance.
R
33/40
Transcribed Image Text:A time-varying magnetic field with the law B = u;(0.05t² –0.2t) [T] is defined in a cylindrical region of radius R = 5 cm; in this region %3D the field is uniform and parallel to the axis. Calculate: 1) the force F1 acting on a (stationary) electron at distance ŋ = 0.04 m from the center of the axis at the instant ti = 4 s; 2) the force F2 which acts at the same instant at a distance r2 = 0.07 m from the center; 3) the instant in which the force is zero at any distance. R 33/40
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