A $10.0-\mu \mathrm{F}$ capacitor has plates with vacuum between them. Each plate carries a charge of magnitude 1000$\mu \mathrm{C}$ . A particle with charge $-3.00 \mu \mathrm{C}$ and mass $2.00 \times 10^{-16} \mathrm{kg}$ is fired from the positive plate toward the negative plate with an initial speed of $2.00 \times 10^{6} \mathrm{m} / \mathrm{s}$ . Does the particle reach the negative plate? Explain how you can tell. If it does, what is its impact speed? If it does not, what fraction of the way across the capacitor does it travel?
Added by Mary B.
Step 1
Given: Charge on the particle, q = -3.00 $\mu$C = -3.00 x $10^{-6}$ C Charging potential between the plates, V = 1000 $\mu$C / 10.0 $\mu$F = 100 V Work done by electric potential, W = qV W = (-3.00 x $10^{-6}$ C)(100 V) W = -0.3 J Show more…
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