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1. An electromagnetic velocity filter (sometimes called a Wien filter) is used in a variety of experiments and other applications, such as electron microscopes, in which we need a beam of charged particles all going at the same speed. Generally the souce of the particles will produce particles having a broad range of speeds. As the particles move away from the source they pass through the velocity filter. Only the particles going the “correct” speed are able to pass straight through it. All other particles are deflected and hit surfaces inside the filter.The filter is implemented by having a region containing constant electric and magnetic fields. The electric field is usually achieved by having parallel plates and the magnetic field is achieved by having a solenoid. Suppose that the particles are positive charges and they enter the velocity filter moving along the x-axis in the positive x-direction. The electric field in this region will have a strength, E, and will point in the positive y-direction.(a) Draw a free body diagram for a particle passing through the velocity filter at the “correct” speed.(b) For the electric force on the particles to be canceled by the magnetic force which way must the magnetic field point?(c) For an electric field strength of E and a desired speed of v, what magnetic field is needed (i.e. write B as a function of E and v)?(d) Let’s see how this plays out in practice. Suppose we want to select for particle speeds of 2.9 × 108 m/s (about 97% of the speed of light). Our parallel plates are separated by a distance of 1.00 mm and can be charged to a voltage difference of 25 kV. What magnetic field strength will we need?(e) Suppose we are using a solenoid with 1 mm thick wires so the coil density is N/l = 1000 wires/m. What current will be needed in the wires to achieve the field called for by this velocity filter? Does this seem like it will be easy to build this?(f) If you send negative particles through the selector will you have to change the direction of the magnetic field? Explain.
If each rock strikes the fixture travelling at 10.0 {rm m}/{rm s} horizontally and rebounds at 2.00 {rm m}/{rm s} backwards, how high above the lowest point does collision make your light fixture swing?
q1. a cooling unit for chilling the water of an aquarium gives specifications of mechanical power of 110 hp and cooling
Find the period of a child's leg as it swings about the hip joint. Assume the leg is 0.39 m long and can be treated as a uniform rod, Estimate the child's walking speed
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Suppose you measure the terminal voltage of a 3.260 V lithium cell having an internal resistance of 5.50 by placing a 1.00 kvoltmeter across its terminals, Find the actual terminal voltage to the nearest 0.01 V
An electric current I=5.0 amp flows down the y-axis and to the right on the x-axis. What is the magnitude and direction of the magnetic field at a point in the x-y plane with coordinates (a,a) where a=20 cm
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A parallel plate capacitor in air has a plate separation of 1.5 cm and a plate area of 25 cm^2. Determine the charge on the plate after immersion
If the human aorta has a cross-sectional area of 2.5 cm2 and the flow speed of blood in the aorta is 30 cm/s while the density of blood is 1.05 g/cm3. Calculate the mass flow rate of blood (in g/s) in the aorta
A steady beam of alpha particles (q = + 2e, mass m = 6.68 x 10-27 kg) traveling with constant kinetic energy 26 MeV carries a current of 0.34 µA. If the beam is directed perpendicular to a flat surface, how many alpha particles strike the surface i..
A 5.9-kg rock and a 6.6 × 10-4-kg pebble are held near the surface of the earth. Determine the magnitude of the gravitational force exerted on each by the earth
A student is asked to determine thickness of film of oil (n=1.43) on surface of water n=1.33) Light travels through air to oil film to water. Calculate minimum possible thickness of oil film
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