A particle with charge q and kinetic energy K travels in a uniform magnetic field of magnitude B. If the particle moves in a circular path of radius R, find expressions for each of the following. (Use any variable or symbol stated above as necessary.) (a) its speed v= (b) its mass m =
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- Solve the following: A proton (of mass, m-1.67 x 1027kg) starts moving in a circular path of radius 5 cm when it enters perpendicular to the Earth's magnetic field of 1.75 x 10-5 T. Calculate Bin the speed X. of the cosmic ray proton in (m/s) ? X +q tuA certain charged particle has a charge q > 0. The particle moves with a kinetic energy K in a circular path of radius R in the presence of a uniform magnetic field of magnitude B. (Use any variable or symbol stated above as necessary.) (a) What is the speed of the particle? Assume the speed is low compared to the speed of light. (b) What is the mass of the particle?The circular particle accelerator at CERN has a radius of about 2.24 km. The accelerator uses strong magnetic fields to steer charged particles in a circle, while electric fields give them more and more energy every time around. Suppose we're steering protons using magnetic fields of magnitude 8.22 T. What would be the magnitude of the momentum, p, of a proton under those conditions? You may assume that the magnetic field involved is perpendicular to the motion of the charges (that's the most efficient configuration).
- A particle with charge 5nC initially moves with velocity v=(11i +4.22j) m/s.If this particle encounters a magnetic field B=1.20k T Sketch the particles path in the presence of the magnetic field. Include labelled velocity, magnetic field, and magnetic force vectors. Find the magnetic force vector on the particle. Include both magnitide and the direction. Find the radius if the particles circular path, if the mass of the particle is 1.67 milligramsIonization measurements show that a particular lightweight nuclear particle carries a double charge (= 2e) and is moving with a speed of 0.710c. Its measured radius of curvature in a magnetic field of 1.00 T is 6.28 m. Find the mass of the particle and identify it. (Hints: Lightweight nuclear particles are made up of neutrons (which have no charge) and protons (charge =+e), in roughly equal numbers. Take the mass of each such particle to be 1.00 u.Solve the following: A proton (of mass, m=1.67 x 10-27kg) starts moving in a circular path of radius 4 cm when it enters perpendicular to the Earth's magnetic field of 4 x 10-5 T. B in Calculate the speed of the cosmic ray proton in (m/s) ?
- A negative charge of q = -2.2 * 10-17 C and m = 2.3 * 10-26 kg enters a magnetic field B = 1.9 T with initial velocity v = 270 m/s as shown in the attached image. The magnetic field points into the screen. Express the radius R, of the circular motion in terms of the centripetal acceleration a and the speed v. Calculate the numerical value of the radius R in meters.A particle of charge q and mass m is accelerated from rest through a potential difference V, after which it encounters a uniform magnetic field B. Follow below steps to find the radius of its circular orbit. Hint a. After being accelerated through potential difference V, what is the speed v of the charged particle? Hint for (a) V = (Give your answer in terms of given quantities above; be careful to distinguish V the voltage from v the speed. To enter ve (for example), type in "sqrt(e)"-or you may use exponent notation, "x^(1/2)" for æ7.) b. Inside the region of magnetic field B, assuming the velocity v is perpendicular to the magnetic field B, what force does the charged particle experience? Hint for (b) The charged particle experiences force of magnitude (answer in terms of given variables), in the direction Select an answer c. The force you found in (b) above becomes the centripetal force for the charge as it undergoes a uniform circular motion. What is the radius of curvature of the…A cyclotron used to accelerate protons has a uniform magnetic field of 0.69 T. What is the frequency at which the potential difference between the dees must oscillate? (Your result must be in units of MHz's. Include 1 digit after the decimal point and maximum of 3% of error is accepted in your answer. Take elementary charge 1.6 x 10 -19 C, mass of proton 1.67 x 10 -27 kg and π = 3.14.)
- Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that dE has charge g and acceleration is given by te where y'u' c is the speed of light. di: dt Part A If a proton with a kinetic energy of 5.6 MeV is traveling in a particle accelerator in a circular orbit with a radius of 0.580 m, what fraction of its energy does it radiate per second? (dE/dt) 1 E Part B IV | ΑΣΦ (dE/dl)-1s + [VΕΙ ΑΣΦΑ Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second? po A ? ?A beam of a particles (helium nuclei) is used to treat a tumor located 11.1 cm inside a patient. To penetrate to the tumor, the a particles must be accelerated to a speed of 0.558c, where c is the speed of light. (Ignore relativistic effects.) The mass of an a particle is 4.003 u and its charge is +2e. The cyclotron used to accelerate the beam has radius 1.50 m. What is the magnitude of the magnetic field? The mass of a proton is 1.6605×10-27 kg/u.A triangular frame with dimensions a = 0.3 m and b = 0.8 m, carrying I = 8A current is on y- z plane as shown in the figure. This frame is under the influence of uniform B = ci+dj magnetic field where c = 0.8 T and d= 0.4 T. What is the magnetic force on the 2nd segment of the frame in Newtons? (), L. k are unit vectors in x, y, and z directions, respectively.) 0.961-192) + 5.12 k -0.96 - 1.92)-5.12 k 0.961 +1.92) + 5.12 k 0.961-1.92j-5.12 k 0,96 i +1.92)-5.12 k