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Two large parallel copper plates are 4.8 cm apart and have a uniform electric fi

ID: 1705581 • Letter: T

Question

Two large parallel copper plates are 4.8 cm apart and have a uniform electric field between them as depicted in the figure 22-56. An electron is released from the negative plate at the same time that a proton is released from the positive plate. Neglect the force of the particles on each other and find their distance from the positive plate when they pass each other. (Does it surprise you that you do not need to know the electric field to solve this problem?)

The figure is a positive plate (p) pointing towared the Negative plate and the Negative plate (p) pointing toward the positive plate.. and E pointing towared the Negative plate

Explanation / Answer

find their distance from the positive plate when they pass each other. 1st: you need to know the mass of each: Mass of a Proton: 1.67262158 x 10^-27 kg Mass of an Electron: 9.10938188 x 10^-31 kg 'Because the Electron is smaller, it is going to travel faster, much faster. By dividing the mass of an electron by the mass of a proton, you can determine how much a proton will move compared to an electron with the same force exerted on them: (E) 9.10938188 x 10^-31 kg / (P) 1.67262158 x 10^-27 kg Mass Electron/Mass Proton = .000545 So, a proton will travel .000545 the distance that an electron will in the same amount of time. Multiply this result by your distance, 4.8 cm, .000545 x 4.8 cm = .0026142 cm So, the Proton and Electron will meet approximately .0026142 cm from the postive plate. Hope this was a lifesaver!!!

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