Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 26, Problem 7P
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In a velocity selector, the intensity of
electric field is 2 × 104 V/m and the strength of
magnetic field is 0.01 Wb/m². Find the speed
of charged particle which passes undeflected
through the velocity selector.
A velocity selector is tuned to allow an electron with a speed of 576333 m/s through with no deflection. It used a magnetic field of 9.5 mT. What is the magnitude of the electric field (in V/m) being used?
Problem 1: In a mass spectrometer, a specific velocity can be selected from a distribution by injecting charged particles
between a set of plates with a constant electric field between them and a magnetic field across them (perpendicular to the direction of
particle travel). If the fields are tuned exactly right, only particles of a specific velocity will pass through this region undeflected
Consider such a velocity selector in a mass spectrometer with a 0.095 T magnetic field
Part (a) What electric field strength, in volts per meter, is needed to select a speed of 4.2 x
106 m/s?
D Part (b) What is the voltage, in kilovolts, between the plates if they are separated by 0.95 cm?
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Chapter 26 Solutions
Physics for Scientists and Engineers
Ch. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10P
Ch. 26 - Prob. 11PCh. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - Prob. 42PCh. 26 - Prob. 43PCh. 26 - Prob. 44PCh. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Prob. 51PCh. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - Prob. 58PCh. 26 - Prob. 59PCh. 26 - Prob. 60PCh. 26 - Prob. 61PCh. 26 - Prob. 62PCh. 26 - Prob. 63PCh. 26 - Prob. 64PCh. 26 - Prob. 65PCh. 26 - Prob. 66PCh. 26 - Prob. 67PCh. 26 - Prob. 68PCh. 26 - Prob. 69PCh. 26 - Prob. 70PCh. 26 - Prob. 71PCh. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - Prob. 74PCh. 26 - Prob. 75PCh. 26 - Prob. 76PCh. 26 - Prob. 77PCh. 26 - Prob. 78PCh. 26 - Prob. 79PCh. 26 - Prob. 80PCh. 26 - Prob. 81P
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- A strip of copper is placed in a uniform magnetic field of magnitude 2.5 T. The Hall electric field is measured to be 1.5103V/m (a) What is the drift speed of the conduction electrons? (b) Assuming that n =8.01028 elections per cubic meter and that the cross-sectional area of the strip is 5.0106m2 , calculate the current in the ship, (c) What is the Hall coefficient 1/nq?arrow_forwardAn electron of kinetic energy 2000 eV passes between parallel plates that are 1.0 an apart and kept at a potential difference of 300 V. What is the strength of the uniform magnetic field B that will allow the electron to travel undeflected through the plates? Assume E and B are perpendicular.arrow_forwardThe potential difference V(t) between parallel plates shown above is instantaneously increasing at a rate of 107V/s. What is the displacement current between the plates if the separation of the plates is 1.00 cm and they have an area of 0.200m2?arrow_forward
- Is B constant in magnitude for points that lie on a magnetic field line?arrow_forward(a) An oxygen16 ion with a mass at 2.661026kg travels at 5.00106m/s perpendicular to a 1.20T magnetic field, which makes it move in a circular arc with a 0.231-m radius. What positive charge is on the ion? (b) What is the radio of this charge to the charge of an electron? (c) Discuss why the radio found in (b) should be an integer.arrow_forwardSuppose the parallel-plate capacitor shown below is accumulating charge at a rate of 0.010 C’s. What is the induced magnetic field at a distance of 10 cm from the capacitator?arrow_forward
- In order to go through a velocity selector undisturbed, the magnetic and electric force on charge q=7.1 mC need to cancel out (as in, they have to point in opposite directions and their magnitudes have to be the same). Determine the velocity of the charge that can travel through a velocity selector that provides electric field of magnitude E=2.99×10³ V/m and magnetic field B=7.71 mT. Provide your answer in km/s.arrow_forwardA beam of electrons with velocity vx = 5 x105 m/s is introduced into a uniform magnetic field Bz = 30 mTesla. An electric field Ey is applied perpendicular to both the initial velocity and the magnetic field. What value of electric field must be applied to leave the electron beam undeflected?arrow_forward04% As shown in Figure, a beam of particles of charge q enters a region where an electric field is uniform and directed downwards. Its value is 80 kV/m. Perpendicular to E and directed into the page is a magnetic field B = 0.4T. (1) If the speed of the particles is properly chosen, the particles will not be 010219004 deflected by these crossed electric and magnetic fields. What speed is selected in this case? (ii) If the electric field is cut off and the same magnetic field is maintained, the charged particles move in the magnetic field in a circular path of radius 1.14 cm. Determine the ratio of the electric charge to the mass of the particles. E-80 KV/m 8=0.4T (into page) Figurearrow_forward
- Imagine that you are measuring the mass of a particle in a mass spectrometer. The magnitude of the electric field between the plates of velocity selector is 3300000 V/m, the magnetic field is 1.5 T everywhere. The charge of the particle is equal to the charge of the electron (1.6e-19 C). The measured radius of trajectory in the spectrometer is 1.1 mm. The velocity of this particle as it passes through the velocity selector is v= m/s. The mass of this particle is m= kg.arrow_forwardConsider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.60 x 10° V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.0450 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.44 x 10 2º kg. Bo, in P Detector array Bin Velocity selector 1xarrow_forwardA -0.51 pC hypothetical charge weighing 34 fg travels in a circular path at 23 km/s that is perpendicular to a unifrom magnetic field which has a magnitude of 43 mT, directed into the page. Calculate the radius of the circular path and the time interval required for one complete revolution.arrow_forward
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