6. (20+20 pts) An electron is at point 1, at rest. Now the electron is brought f

Question

6. (20+20 pts) An electron is at point 1, at rest. Now the electron is brought from point 1 to point 2 using a "magic tweezer". And the electron's velocity at point 2 is also zero. (a) Find the change in Electric Potential (in V)O Lines in the diagram représent equipotential surfaces during this process. V-4PE.1%vio-me (b) Find the work (in eV) done by Electric ·1-le.yxIOW 130V Field during this process. (Use unit eV notJ.) (c) Find the change in Kinetic Energy (in ev -1 50 during this process. (Use unit eV not J.) (d) Find the Work (in eV) done by the "magic tweezer" during this process. (Use unit eV not 3.) OV (e) EXTRA credits (20 points): if the electron's final velocity at point 2 is 2 × 106 m/s instead of zero, answer above questions (a)-(d)

Explanation / Answer

(A) deltaV = 50 - 90 = - 40 Volt

delta(PE)= q deltaV  

= (-e)(-40)

= 40 eV  

(B) Work done = - delta(PE) = - 40 eV

  

(C) change in KE= 0

{ particle was at rest at initially and finally }

(D) Work done = delta(PE) + delta(KE) = 40eV

(E) (A) 40 eV

(B) - 40 eV

(C) delta(KE) = (9.109 x 10^-31)(2 x 10^6)^2 / 2

= 1.822 x 10^-18 J

Or 11.4 eV  

(D) W = 11.4 + 40 = 51.4 eV  

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