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A positron with a kinetic energy of 2.10 keV is projected into a uniform magnetic field of magnitude 0.140 T, with its velocity vector making an angle of 87.0° with the field. Find (a) the period, (b) the pitch p, and (c) the radius r of its helical path.
please highlight each answer when answering:
answer (a) with unit
answer (b) with unit
answer (c) with unit
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- To understand why charged particles move in circles perpendicular to a magnetic field and why the frequency is invariant. A particle of charge q and mass m moves in a region of space where there is a uniform magnetic field B=B0k (ie a magnetic field of magnitude B0 in the +z direction) in this problme neglect any forces on the particle other than the magnetic force. (A) if the resulting trajectory of the charged particle is a circle, what was the angular frequency of the circular motion? Express angular frequency in terms of q,m, and B0.The uniform magnetic field present in the region is given as B = 4.45 ax + Byay, measured in milliteslas. Find the radius of curvature, in nanometers, if, at one instant, the velocity vector of the electron in the magnetic field is v = 9.74 ax - 4.06 ay, measured in meters per second, then it moves in a stationary circular path due to the magnetic field. Answer in 4 decimal places.As shown in the figure below, a particle of mass m having positive charge q is initially traveling with velocity vĵ. At the origin of coordinates it enters a region between y = 0 and y = h containing a uniform magnetic field B directed perpendicular out of the page. (a) What is the critical value of v such that the particle just reaches y = h? (Use B, h, m, and q as necessary.) v = ? (b) Describe the path of the particle under this condition, and predict its final velocity. (Use v as necessary.) vf = ?, path description = (straight line, semicircle, or circular arc) (c) Specify the path the particle takes and its final velocity, if v is less than the critical value. (Use v as necessary.) vf = ?, path description = (straight line, semicircle, or circular arc) (d) Specify the path the particle takes and its final velocity if v is greater than the critical value. (Use ? and v as necessary.) vf = ?, path description = (straight line, semicircle, or circular arc)
- The figure shows crossed uniform electric and magnetic fields and, at a certain instant, the velocity vectors of the 10 charged particles listed in the table. (The vectors are not drawn to scale.) The speeds given in the table are either less than or greater than E/B (see out of the page toward you after the instant shown in the figure? (Several choices may be Question 1). Which particles will move correct.) HUFI Particle Charge Speed 1 2 3 4 5 + + Less Greater Less Greater Less Particle Charge 6 7 10 10 + + Speed Greater Less Greater Less Greater 4Consider a uniform magnetic field of magnitude 0.2 T which is directed along the direction of the positive x axis. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which forms an angle of 85 with the x axis. For this case in which the path that the positron describes is helical, as shown in Figure 1, determine:a) The radius r of the helical path.b) The pitch p of the helical path.Consider a uniform magnetic field of magnitude 0.2 T which is directed along the direction of the positive x axis. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which forms an angle of 85 with the x axis. For this case in which the path that the positron describes is helical, as shown in Figure 1, determine:a) The radius r of the helical path.b) The pitch p of the helical path.
- Determine the magnitude of the magnetic force being experienced by a circular conductor of radius ρ = 1 m carrying 2-ampere current flowing in the counter-clockwise direction from Φ = 1.5 rad to Φ = 4.04 rad if the magnetic field is B = ρ2 cosΦ az (measured in tesla). Express your answers accurate to four decimal places, whenever applicable.A uniform magnetic field of magnitude 0.20 T is directed along the positive x axis. A positron moving at 1.00x107 m/s enters the field along a direction that makes an angle of 80.0° with the x axis. The motion of the particle is expected[o be a helix What is the pitch of the trajectory in mm? (m,-9.11x10-3! kg, q=1.6x10-19 C) 0,20 T büyüklüğündeki düzgün manyetik alan pozitifx ekseni yönündedir. Sürati 1,00x10" m/s olan bir pozitron x ekseni ile 80,0° açı yapacak şekilde alana girdiğinde helis şeklinde bir yörünge çizmesi beklenir. Bu helisin hatvesi (adımı) mm cinsinden nedir? (m,=9,11x10-31 kg, q=l,6x10-19 C)A hypothetical charge -0.23 pC with a mass 62 fgmoves in a circular path perpendicular to a uniform magnetic field with a magnitude of 71 mT and is directed into the page. If the speed of the hypothetical charge is 51 km/s: Determine the radius of the circular path. Determine the time interval required to complete one revolution. What are the given in the problem? What are the unknown variables? What are the equations that you are going to use? Solution and answer for Part A. Solution and answer for Part B. Use GRESA format in answering.
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