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6.13 Modify projectile.m to one that incorporates a charged particle moving in a

ID: 1597779 • Letter: 6

Question

6.13

Modify projectile.m to one that incorporates a charged particle moving in an electric field instead. Test the script with an electron (q = -1.6 times 10^-19 C, m = 9.1 times 10^-31 kg) as well as with a positron (q = 1.6 times 10^-19 C, m = 9.1 times 10^-31 kg.) Consider a charged particle, q, with mass m in the presence of a magnetic field B = B_0 k^. a. Show that the acceleration experienced by the charge obeys the form r = -Dr, where D is a constant of proportionality. b. Find the constant of proportionality and explain the result.

Explanation / Answer

Accleration a = g

Eq/m = 9.8

From this required magnitude of electric field E = 9.8 m/q

E = 9.8(9.1x10 -31)/(1.6 x10 -19)

= 5.57375x10 -11 m/s 2