6. Suppose the parametric equations for the motion of a charged particle released from rest in electric and magnetic fields at right angles to each other take the following forms: x = a(0 sino), y = a(1 − cos0), where a is constant. Show that the tangent to the curve has slope cot (2). Use a computer program, such as Excel or Mathematica, to plot the particle's trajectory y as a function of . Show at least one full period. a

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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6. Suppose the parametric equations for the motion of a charged particle released from
rest in electric and magnetic fields at right angles to each other take the following
forms:
x = a(0 — sin0), y = a(1 − cosł),
where a is constant. Show that the tangent to the curve has slope cot(). Use a
computer program, such as Excel or Mathematica, to plot the particle's trajectory
y as a function of 2. Show at least one full period.
a
a
Transcribed Image Text:6. Suppose the parametric equations for the motion of a charged particle released from rest in electric and magnetic fields at right angles to each other take the following forms: x = a(0 — sin0), y = a(1 − cosł), where a is constant. Show that the tangent to the curve has slope cot(). Use a computer program, such as Excel or Mathematica, to plot the particle's trajectory y as a function of 2. Show at least one full period. a a
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