1. If an electron is accelerated through a potential difference of 5.0 V, how mu

Question

1. If an electron is accelerated through a potential difference of 5.0 V, how much kinetic energy will it acquire? (Express your answer in electron volts (eV). Note, 1 eV = 1.6x10^-19J)

b). In this and the next exercise, consider the following "pathway" for charging up a parallel plate capacitor. Suppose that two parallel plates with area A = 1 m^2 are in contact. Imagine now that charge Q = 1 C is transferred to the top plate leaving Q on the bottom plate, giving rise to a uniform charge density = 1 uC/m2 : What is the electric field (in N/C) in the gap between these two plates that are infinitessimally close to one another? What is the force (in N) on the top plate by the bottom plate (or vice versa)?

Explanation / Answer

a) KE = PE

1/2mv^2 = qV

KE = 1.6*10^-19*5 = 8*10^-19 j

KE = 5 ev

b) E = sigma/e0 = 10^-6/8.85*10^-12 = 1.13*10^5 N/C

c) F = QE = 1.13*10^5 N

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