A uniform electric field exists in the region between two oppositely charged pla

Question

A uniform electric field exists in the region between two oppositely charged plane parallel plates. A proton is released from rest at the surface of the positively charged plate and strikes the surface of the opposite plate, 1.60 cm distant from the first, in a time interval of 2.60 times 10^-6 s. Part A Find the magnitude of the electric field. Express your answer with the appropriate units. Part B Find the speed of the proton when it strikes the negatively charged plate. Express your answer with appropriate units.

Explanation / Answer

Part A)   Here, acceleration of proton = 2 * 0.0160/(2.60 * 10-6)2

                                                                                      = 4.733 * 109 m/sec2

=>   qE = ma

=> magnitude of electric field = (1.67 * 10-27 * 4.733 * 109)/(1.6 * 10-19)

                                                = 49.4 N/C

Part B)   speed of proton = 4.733 * 109 * 2.60 * 10-6

                                                            =   12305.8 m/sec

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