Electrostatic precipitators use electric forces to remove pollutant particles from smoke, in particular in the smokestacks of coal-burning power plants. One form of precipitator consists of a vertical, hollow, metal cylinder with it thin wire, insulated front the cylinder, running along its axis ( Fig. P23.65 ). A large potential difference is established between the wire and the outer cylinder, with the wire at lower potential. This sets up a strong radial electric field directed inward. The field produces a region of ionized air near the wire. Smoke enters the precipitator at the bottom, ash and dust in it pick up electrons, and the charged pollutants are accelerated toward the outer cylinder wall by the electric field. Suppose the radius of the central wire is 90.0 μ m, the radius of live cylinder is 14.0 cm, and a potential difference of 50.0 kV is established between the wire and the cylinder. Also assume that the wire and cylinder are both very long in comparison to the cylinder radius, so the results Of Problem 23.61 apply, (a) What is the magnitude of the electric field midway between the wire and the cylinder wall? (b) What magnitude of charge must a 30.0- μg ash particle have if the electric field computed in part (a) is to exert a force ten times the weight of the particle? Figure P23.65
Electrostatic precipitators use electric forces to remove pollutant particles from smoke, in particular in the smokestacks of coal-burning power plants. One form of precipitator consists of a vertical, hollow, metal cylinder with it thin wire, insulated front the cylinder, running along its axis ( Fig. P23.65 ). A large potential difference is established between the wire and the outer cylinder, with the wire at lower potential. This sets up a strong radial electric field directed inward. The field produces a region of ionized air near the wire. Smoke enters the precipitator at the bottom, ash and dust in it pick up electrons, and the charged pollutants are accelerated toward the outer cylinder wall by the electric field. Suppose the radius of the central wire is 90.0 μ m, the radius of live cylinder is 14.0 cm, and a potential difference of 50.0 kV is established between the wire and the cylinder. Also assume that the wire and cylinder are both very long in comparison to the cylinder radius, so the results Of Problem 23.61 apply, (a) What is the magnitude of the electric field midway between the wire and the cylinder wall? (b) What magnitude of charge must a 30.0- μg ash particle have if the electric field computed in part (a) is to exert a force ten times the weight of the particle? Figure P23.65
Electrostatic precipitators use electric forces to remove pollutant particles from smoke, in particular in the smokestacks of coal-burning power plants. One form of precipitator consists of a vertical, hollow, metal cylinder with it thin wire, insulated front the cylinder, running along its axis (Fig. P23.65). A large potential difference is established between the wire and the outer cylinder, with the wire at lower potential. This sets up a strong radial electric field directed inward. The field produces a region of ionized air near the wire. Smoke enters the precipitator at the bottom, ash and dust in it pick up electrons, and the charged pollutants are accelerated toward the outer cylinder wall by the electric field. Suppose the radius of the central wire is 90.0 μm, the radius of live cylinder is 14.0 cm, and a potential difference of 50.0 kV is established between the wire and the cylinder. Also assume that the wire and cylinder are both very long in comparison to the cylinder radius, so the results Of Problem 23.61 apply, (a) What is the magnitude of the electric field midway between the wire and the cylinder wall? (b) What magnitude of charge must a 30.0-μg ash particle have if the electric field computed in part (a) is to exert a force ten times the weight of the particle?
While cruising down University Boulevard you are stopped by a cop who states that you ran a red traffic light. Because you don't
want to pay the stiff fine, you are attempting a physics defense. You claim that due to the relativistic Doppler effect, the red color of
the light λ=616 nm appeared green '=531 nm to you. The cop makes a quick calculation of his own and rejects your defense.
How fast, in terms of your speed u divided by the speed of light in vacuum c, would you have to drive to justify your claim? Note
that the speed u is taken to be a positive quantity.
U 4.0
C
220 V is supplied to 800 primary turns of an autotransformer. What will the outputvoltage be across 200 secondary turns?
2. A filament transformer has a turns ratio of 1:20. What current must be supplied to theprimary windings if 5 A is required by the filament?
3. The filament transformer in the previous question is supplied with 150 V to theprimary side. What is the secondary voltage?
4. 440 V is supplied to 1000 primary turns of an autotransformer. If the desired outputvoltage is 100 V how many secondary turns must be tapped?
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