Determine the magnitude of an electric field that will balance the weight of an electron.
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Explanation:
What are the magnitude and direction of the electric field that will balance the weight of the following? For an electron/proton we use the equation qE=mg. Therefore the answer for magnitude would just to multiply the mass of an electron/proton by 9.8.
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Answer:
You can work this out quite easily.
The force of gravity on the electron will be = mg where m is the mass of the electron (about9 x10^-31kg).
Now ther force on an electron due to an electric field (E) is F=qE where q is the charge on an elrctron (about 1.6 x10^-19 C).
equate the two qE= mg
rearrange E = mg/q now substiytute in the values and work out the answer.
You only asked for the magnitude of the field but it is worth mentioning that to supply an upward force on an electron, the electric field must be directed downwards.
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