What charge should be placed on the metal plate so that the oil drop remains at rest?
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You are preparing a Physics Magic Show as part of Engineering Day and your professor had a “great”
idea for a trick: The Levitating Oil Drop.
A fine dropper and triboelectric ionizer will regularly produce an oil drop with a mass of 5.3 × 10−12 kg
carrying fifty extra electrons. You set it up to produce the oil drops 15 mm below an oppositely charged
metal plate and at rest.
What charge should be placed on the metal plate so that the oil drop remains at rest?
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- Levitation: The largest electric field strength you can create in air before dielectric breakdown (a spark) occurs is about 3.0 x 10°V/m. Suppose you created an electric field with this strength – pointing directly upward – between a set of parallel plates that are 9.9cm apart. You want to use this system to levitate water droplets with a mass of 1.8g. (a) How much charge would you have to put on a droplet to make it levitate? (b) Suppose that 43 charged droplets are levitating and the field strength suddenly drops by 24 percent, to about 2.3 x 106 V/m, how quickly would the droplets accelerate? EA particle accelerator is used to accelerate particles... (obviously right?). a) Draw a diagram that would represent an electron, starting from rest, and passing between two plates with a potential difference of 5.3 x 10^5 V and the plates separated 12cm apart. (Include SIGNS on plates), accelerating. b) How fast would the electron be traveling once it gets to the plate? c) What would be the magnitude of the electric field strength? d) What would be the acceleration of the electron?In the Millikan oil - drop experiment illustrated in Figure 15.21, an atomizer (a sprayer with a fine nozzle) is used to introduce many tiny droplets of oil between two oppositely charged parallel metal plates. Some of the droplets pick up one or more excess electrons. The charge on the plates is adjusted so that the electric force on the excess electrons exactly balances the weight of the droplet. The idea is to look for a droplet that has the smallest electric force and assume it has only one excess electron. This strategy lets the observer measure the charge on the electron. Suppose we are using an electric field of 3 x 104 N/C. The charge on one electron is about 1.6 x 10-19 C. Estimate the radius of an oil drop of density 858 kg/m3 for which its weight could be balanced by the electric force of this field on one electron.
- Try to help me with this question. no handwritten.(1) A small droplet with a mass of 0.2 g is placed in between the plates. In order to make the droplet float at its original position, how much charge do we need to put on the droplet? Is the charge positive or negative? (2) You are given three types of dielectric materials to fill up the space between the plates (highlighted in light blue). Each material has to take up at least 20% of the total volume of the space. The table below provides the dielectric constant of the materials. Suppose the materials can form any shape. (i) Find a way to fill up the space such that the capacitance of the capacitor is smaller than 24 × 10-10 F. (ii) Find a way to fill up the space such that the capacitance of the capacitor is larger than 52 x 10-10 F. (3) For 2(ii), suppose that the materials are filled sequentially in the order of A–B C and that before filling the space is filled with air. (The dielectric constant of air is 1.) Calculate the electric potential energy stored by the capacitor at each…In the Millikan oil-drop experiment illustrated in Figure 15.21, an atomizer (a sprayer with a fine nozzle) is used to introduce many tiny droplets of oil between two oppositely charged parallel metal plates. Some of the droplets pick up one or more excess electrons. The charge on the plates is adjusted so that the electric force on the excess electrons exactly balances the weight of the droplet. The idea is to look for a droplet that has the smallest electric force and assume it has only one excess electron. This strategy lets the observer measure the charge on the electron. Suppose we are using an electric field of 3 × 104 N/C. The charge on one electron is about 1.6 × 10-19 C. Estimate the radius of an oil drop of density 858 kg/m3 for which its weight could be balanced by the electric force of this field on one electron.
- An oil droplet (q = 5e-) is suspended between two parallel, charged plates (V = 175 V). If an oil droplet of the same mass but with a charge of 3e- is to be suspended between the same plates, what potential difference would be necessary?What acceleration do a pair of protons experience when they are separated by a 2.00 nm distance? What about two electrons? Explain why these are different.