What is the speed of a 400 eV (a) electron, (b) proton, and (c) alpha particle? A capacitor has a capacitance…

Question

What is the speed of a 400 eV (a) electron, (b) proton, and (c) alpha particle? A capacitor has a capacitance of 8.0 microFarad with air between its plates. Determine its capacitance when a dielectric with dielectric constant 6.0 is placed between its plates. What is the charge on a 300 pF capacitor when it is charged to a voltage of 1.0 kV? A certain parallel-plate capacitor consists of two plates, each with area 200 cm² , separated by a 0.40 cm air gap. (a) Compute its capacitance. (b) If the capacitor is connected across a 500 V source, find the charge on it, the energy stored in it, and the value of E between the plates. (c) If a liquid with K = 2.60 is poured between the plates so as to fill the air gap, how much additional charge will flow onto the capacitor from the 500 V source?

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What is the speed of a 400 eV (a) electron, (b) proton, and (c) alpha particle?

The kinetic energy (KE) is given as $400 \text{ eV}$ . We convert this to Joules:

KE = 400 \text{ eV} \times (1.602 \times 10^{-19} \text{ J/eV}) = 6.408 \times 10^{-17} \text{ J}

The formula for kinetic energy is $KE = \frac{1}{2}mv^2$ , so the speed $v$ can be found using $v = \sqrt{\frac{

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