The figure shows an electron in a region where the electric potential at three d
ID: 1322585 • Letter: T
Question
The figure shows an electron in a region where the electric potential at three different points is specified. The electron is at rest initially at point B. Show in the figure, with carefully drawn and correctly labeled arrows, the direction of motion of the electron predicted by you, the direction of the force on it, and the direction of the electric field, assumed uniform, in that region. Calculate the kinetic energy of the electron when it reaches either point A or point C, according to your prediction. The distance between A and B is 3.0 mm, and from B to C is 2.0 mm. A, B and C are at 1000 V, 700 V, and 500 V respectively.
The figure shows an electron in a region where the electric potential at three different points is specified. The electron is at rest initially at point B. Show in the figure, with carefully drawn and correctly labeled arrows, the direction of motion of the electron predicted by you, the direction of the force on it, and the direction of the electric field, assumed uniform, in that region. Calculate the kinetic energy of the electron when it reaches either point A or point C, according to your prediction. The distance between A and B is 3.0 mm, and from B to C is 2.0 mm. A, B and C are at 1000 V, 700 V, and 500 V respectively.Explanation / Answer
A (287) ------ C ------ B (129)
The electron acquires KE proportional to potential difference.
Since the electron gains KE going from either A or B to C, V(C) is positive with respect to V(A) and V(B).
2(V(C)-V(A)) = V(C)-V(B)
2(V(C)-V(A)) - (V(C)-V(B)) = 0
V(C)+V(B)-2V(A) = 0
A. V(C) = 2V(A)-V(B) = 1300 V
B. KA = (V(C)-V(A)) * Q(e) = 500 * 1.6022E-19 J
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