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2. Consider a charged particle q of mass m B so that the particle is experiencing...
A Cycloidal Path A particle with mass m and positive charge q starts from rest at the origin as s...
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A Cycloidal Path A particle with mass m and positive charge q starts from rest at the origin as shown in the figure below. There is a uniform electric field = Eo? and a uniform magnetic field B = BoZ The path of the charged sketched below is a cycloid whose radius of curvature at the top points is twice the y-coordinate at that level. This path is exactly the same as the path of...
Consider a charged particle of mass m and positive charge Q, which moves in the presence...
Consider a charged particle of mass m and positive charge Q, which moves in the presence of a uniform magnetic field, and a uniform E-field, both of which point along the positive z-axis. At t=0, the particle is at the origin: x=y=z=0. (a) Suppose that at t=0, v is 0. Describe the subsequent motion of the charged particle both quantitatively and qualitatively. (b) Now suppose that at t=0, v is non-zero and directed along positive x. Again, describe the subsequent...
6 A charged particle of mass 2 kg and 1 C starts at the origin with velocity 3a, m/s and travels in a region of uni...
6 A charged particle of mass 2 kg and 1 C starts at the origin with velocity 3a, m/s and travels in a region of uniform magnetic field B 10a, Wb/m. At r 4 s, caleulate (a) The velocity and acceleration of the particle (b) The magnetic force on it (e) Its K.E. and location (d) Find the particle's trajectory by eliminating t (e) Show that its K.E. remains constant
6 A charged particle of mass 2 kg and 1...
2. (25 points). Rabi oscillations. Consider a spin-1/2 particle in a magnetic field B - Bo2 such ...
2. (25 points). Rabi oscillations. Consider a spin-1/2 particle in a magnetic field B - Bo2 such that the spin eigenstates are split in energy by hwo (let's label the ground state |0) and the excited state |1)). The Hamiltonian for the system is written as hwo Zeeman - _ here and below. ơng,z are the usual Pauli matrices. A second, oscillating field is applied in the transverse plane, giving rise to a time-dependent term in the Hamiltoniain hw Rabi-...
131 Consider two observers: O at rest in space (inertial reference frame S), and O' in...
131 Consider two observers: O at rest in space (inertial reference frame S), and O' in a noninertial rotating frame, S. S' is rotating relative to S with a time-dependent angular velocity w = 2t î - { +(2+ + 4) Ê. (a) In the rotating frame, a particle has position vector given by r' (t) = (t? + 1)î -- 6th + 4th. Find the true velocity v(t) in reference frame S and the apparent velocity v'(t) in frame...
2. Consider a charged particle in a magnetic field. Let -e = -1.60 x 10-191C) be...
2. Consider a charged particle in a magnetic field. Let -e = -1.60 x 10-191C) be an electron, under B=0.1T) of a uniform magnetic field directed out of the page direction (o-direction). At t = 0[sec] the particle is at the origin, and the initial velocity is toward positive y direction. (a) Sketch the initial configuration of this electron (-e at the origin) into (x,y)-plane. Applying the right hand rule, indicate the magnetic force on this moving electron. Note that...
1. What is the velocity of a charged particle q = 48322milliC entering into a magnetic...
1. What is the velocity of a charged particle q = 48322milliC entering into a magnetic field B-4.87T that makes an angle 32 the force exerted upon qǐs 12400 N. Hint 1: FL = qv x B Hint 2: Resnick/Halliday sample problem 28.01, Chap 28 with respect to u ıf Use 3 sig figs Show your work like: x-int 0*5 vit)dt rarrxint 0*5(-4 tldt-50 m with u-458 perpendicular onto a 2. Calculate the Lorentz/magnetic force F1 in N, exerted upon...
PART A A particle of mass 2.5 kg is moving with v =(-2.3i+1.4j )(m/s). At one...
PART A A particle of mass 2.5 kg is moving with v =(-2.3i+1.4j )(m/s). At one instant,it is located at r = (2i+4j) m. Calculate the angular momentum of the particle at that instant with respect to the origin. Answer: 30 kgm2/s? PART B Find the angular momentum of a solid cylinder rotating with 12 rad/s angular speed around the axis passing through its center of mass. The radius of the cylinder is 15 cm, its length is 30 cm...
Question 2 (7 points) A charged particle (m = 5.0 g and q = -70 uC)...
Question 2 (7 points) A charged particle (m = 5.0 g and q = -70 uC) moves horizontally in a straight line with a constant speed of 30 km/s in a region where the free-fall gravitational acceleration is 9.8 m/s? downward, the electric field is 700 N/C upward, and the magnetic field is perpendicular to the velocity of the particle. What is the magnitude of the magnetic field in this region? zero 12 mT 23 mT 35 mT 47 mT
A particle with charge of 2 (HC), mass of 2x10-20 (kg) and velocity of 200 (m/s)...
A particle with charge of 2 (HC), mass of 2x10-20 (kg) and velocity of 200 (m/s) enters into a magnetic field of 0.06 (T). The particle experiences a force of 1.01x10-S (N) in the magnetic field. A) Calculate the angle between velocity and magnetic field directions. B) Calculate the acceleration of charged particle in the magnetic field. C) Draw a diagram showing direction of velocity, magnetic field, force and the angle between velocity and magnetic field, using RHR-1 D) In...
Please help, I am
struggling!
A Cycloidal Path A particle with mass m and positive charge q starts from rest at the origin as shown in the figure below. There is a uniform electric field = Eo? and a uniform magnetic field B = BoZ The path of the charged sketched below is a cycloid whose radius of curvature at the top points is twice the y-coordinate at that level. This path is exactly the same as the path of...
Consider a charged particle of mass m and positive charge Q, which moves in the presence of a uniform magnetic field, and a uniform E-field, both of which point along the positive z-axis. At t=0, the particle is at the origin: x=y=z=0. (a) Suppose that at t=0, v is 0. Describe the subsequent motion of the charged particle both quantitatively and qualitatively. (b) Now suppose that at t=0, v is non-zero and directed along positive x. Again, describe the subsequent...
6 A charged particle of mass 2 kg and 1 C starts at the origin with velocity 3a, m/s and travels in a region of uniform magnetic field B 10a, Wb/m. At r 4 s, caleulate (a) The velocity and acceleration of the particle (b) The magnetic force on it (e) Its K.E. and location (d) Find the particle's trajectory by eliminating t (e) Show that its K.E. remains constant
6 A charged particle of mass 2 kg and 1...
2. (25 points). Rabi oscillations. Consider a spin-1/2 particle in a magnetic field B - Bo2 such that the spin eigenstates are split in energy by hwo (let's label the ground state |0) and the excited state |1)). The Hamiltonian for the system is written as hwo Zeeman - _ here and below. ơng,z are the usual Pauli matrices. A second, oscillating field is applied in the transverse plane, giving rise to a time-dependent term in the Hamiltoniain hw Rabi-...
131 Consider two observers: O at rest in space (inertial reference frame S), and O' in a noninertial rotating frame, S. S' is rotating relative to S with a time-dependent angular velocity w = 2t î - { +(2+ + 4) Ê. (a) In the rotating frame, a particle has position vector given by r' (t) = (t? + 1)î -- 6th + 4th. Find the true velocity v(t) in reference frame S and the apparent velocity v'(t) in frame...
2. Consider a charged particle in a magnetic field. Let -e = -1.60 x 10-191C) be an electron, under B=0.1T) of a uniform magnetic field directed out of the page direction (o-direction). At t = 0[sec] the particle is at the origin, and the initial velocity is toward positive y direction. (a) Sketch the initial configuration of this electron (-e at the origin) into (x,y)-plane. Applying the right hand rule, indicate the magnetic force on this moving electron. Note that...
1. What is the velocity of a charged particle q = 48322milliC entering into a magnetic field B-4.87T that makes an angle 32 the force exerted upon qǐs 12400 N. Hint 1: FL = qv x B Hint 2: Resnick/Halliday sample problem 28.01, Chap 28 with respect to u ıf Use 3 sig figs Show your work like: x-int 0*5 vit)dt rarrxint 0*5(-4 tldt-50 m with u-458 perpendicular onto a 2. Calculate the Lorentz/magnetic force F1 in N, exerted upon...
Question 2 (7 points) A charged particle (m = 5.0 g and q = -70 uC) moves horizontally in a straight line with a constant speed of 30 km/s in a region where the free-fall gravitational acceleration is 9.8 m/s? downward, the electric field is 700 N/C upward, and the magnetic field is perpendicular to the velocity of the particle. What is the magnitude of the magnetic field in this region? zero 12 mT 23 mT 35 mT 47 mT
A particle with charge of 2 (HC), mass of 2x10-20 (kg) and velocity of 200 (m/s) enters into a magnetic field of 0.06 (T). The particle experiences a force of 1.01x10-S (N) in the magnetic field. A) Calculate the angle between velocity and magnetic field directions. B) Calculate the acceleration of charged particle in the magnetic field. C) Draw a diagram showing direction of velocity, magnetic field, force and the angle between velocity and magnetic field, using RHR-1 D) In...
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