A series of equiopotential lines are shown. Points A-D are shown. The shaded are

Question

A series of equiopotential lines are shown. Points A-D are shown. The shaded areas are conductors with a net charge. Point A has a potential of 30 V, point B 35 B, point C -10 V, and point D 0 V. The distance between points B and C is 7.5 mm. i) An electron travels from point A to point C. What is the work done on the electron by the field, as measured in eV? ii) An alpha particle has a mass of 6.64 x 10^-27 kg and a charge of + 3.2 x 10^-19 C. An alpha particle at rest at point A travels to point D. What is the speed of the particle at point D? iii) What is the magnitude of the electric field between points B and C?

Explanation / Answer

There is no difference between B and A, first answer is 0 Therefore, the next two answers are equal in magnitude, except VA - VC is the negative of VC - VB. The magnitude of the PE change is (7400 V/m)*(0.08 m) = 592 V, and the sign is determined by knowing that "downstream" points have lower PE than "upstream" points, so ans(b) = +592 V and ans(c) = - 592 V.

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