Question

1. A charge $Q = -50e$ is distributed on a radius $R = 1.2cm$ circle portion as shown in the Figure. An electron moves horizontally with an initial velocity $v_0 = 4 \times 10^2 m/s$ when is located a distance 1.5R from the circle's center P. Besides, e is the electron's charge. Consider a time interval $[0, 10^{-3}] s$. A. Use the Euler's method to obtain the following plots in Matlab (a) Velocity's horizontal component as function of time. (b) Horizontal position as function of time. (c) The electron's trajectory. (d) Make an animation B. Which is the closest distance the electron approaches to the circle portion? C. Make a plot closest distance versus initial velocity considering some values in the interval $[4 \times 10^{-2}, 5 \times 10^{-2}] m/s$

          1. A charge $Q = -50e$ is distributed on a radius $R = 1.2cm$ circle portion as shown in the
Figure. An electron moves horizontally with an initial velocity $v_0 = 4 \times 10^2 m/s$ when is
located a distance 1.5R from the circle's center P. Besides, e is the electron's charge.
Consider a time interval $[0, 10^{-3}] s$.
A. Use the Euler's method to obtain the following plots in Matlab
(a) Velocity's horizontal component as function of time.
(b) Horizontal position as function of time.
(c) The electron's trajectory.
(d) Make an animation
B. Which is the closest distance the electron approaches to the circle portion?
C. Make a plot closest distance versus initial velocity considering some values in the
interval $[4 \times 10^{-2}, 5 \times 10^{-2}] m/s$

1. A charge Q = -50e is distributed on a radius R = 1.2cm circle portion as shown in the
Figure. An electron moves horizontally with an initial velocity v0 = 4 × 10^2 m/s when is
located a distance 1.5R from the circle's center P. Besides, e is the electron's charge.
Consider a time interval [0, 10^-3] s.
A. Use the Euler's method to obtain the following plots in Matlab
(a) Velocity's horizontal component as function of time.
(b) Horizontal position as function of time.
(c) The electron's trajectory.
(d) Make an animation
B. Which is the closest distance the electron approaches to the circle portion?
C. Make a plot closest distance versus initial velocity considering some values in the
interval [4 × 10^-2, 5 × 10^-2] m/s

Added by Laura J.

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