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Consider a charged particle of mass m and positive charge Q, which moves in the presence...
2.53A charged particle of mass m and positive charge q moves in uniform electric and magnetic...
2.53A charged particle of mass m and positive charge q moves in uniform electric and magnetic fields. E and B, both pointing in the z direction. The net force on the particle is F = q (E + v x B). Write down the equation of motion for the particle and resolve it into its three components. Solve the equations and describe the particle's motion.
A charged particle with mass M and charge q moves in the x – y plane....
A charged particle with mass M and charge q moves in the x – y plane. There is a magnetic field of magnitude B in the z-direction and an electric field E in the x-direction. (a) Find the Lagrangian in a form where there is an ignorable coordinate. (b) Find the energy function. Is it energy? Is it conserved? Explain why. (c) Find and solve the equations of motion.
A particle with positive charge q = 1.12 10-18 C moves with a velocity v with...
A particle with positive charge q = 1.12 10-18 C moves with a velocity v with arrow = (5î + 2ĵ − k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. (a) Calculate the total force on the moving particle, taking B with arrow = (5î + 2ĵ + k) T and E with arrow = (2î − ĵ − 4k) V/m. (b) What angle does the force vector make with the...
2. Consider a charged particle q of mass m B so that the particle is experiencing...
2. Consider a charged particle q of mass m B so that the particle is experiencing a Lorentz force qv x B, where v is the velocity of the particle. Now introduce a new frame of reference S' with the same origin fixed frame. Also assume that S' is rotating about some axis passing through the origin with angular velocity chosen w, the particle would appear to be not accelerated. moving in the presence of a small magnetic field that...
3. (a) Show that when a particle with mass m and charge q enters a magnetic...
3. (a) Show that when a particle with mass m and charge q enters a magnetic field having its velocity v perpendicular to the direction of the magnetic field B, it will perform a mv circular path of radius R- qB (b) Using the previous result find an expression for the period T of the circular motion. (c) A charged particle moves into a region of uniform magnetic field, goes through half a circle and then exits that region, as...
The equations of motion for a particle of mass m and electrical charge q under the...
The equations of motion for a particle of mass m and electrical charge q under the influence of a uniform magnetic field B perpendicular to the plane of motion are mx" = qBy' and my" = -qBx'. where x and y are the horizontal Cartesian position coordinates of the particle. Suppose that the particle initially satisfies the conditions Solve the initial value problem and sketch out the trajectory of the particle for t Greaterthanorequalto 0.
A particle with positive charge q = 4.01 10-18 C moves with a velocity v =...
A particle with positive charge q = 4.01 10-18 C moves with a velocity
v
= (5î + 5ĵ − ) m/s
through a region where both a uniform magnetic field and a uniform
electric field exist.
(a)
Calculate the total force on the moving particle, taking
B
= (5î + 2ĵ + ) T
and
E
= (3î − ĵ − 2) V/m.
(Give your answers in N for each component.)
Fx= NFy=
NFz= N
(b)
What angle does...
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...
A positive charged particle carries 0.7 JC and moves with a kinetic energy of 0.06 J....
A positive charged particle carries 0.7 JC and moves with a kinetic energy of 0.06 J. It travels through a uniform magnetic field of B = 0.2 T. What is the mass of the particle if it moves in the magnetic field in circular manner with a radius r = 6.6 m? kg
A small particle with positive charge q = +4.25 x 10 ° C and mass m...
A small particle with positive charge q = +4.25 x 10 ° C and mass m = 7.00 x 10 kg is moving in a region of uniform electric and magnetic fields. The magnetic field is B = 4.00 T in the +z-direction, The electric field is also in the +z-direction and has magnitude E = 60.0 N/C. At time t = 0 the particle is on the y-axis at y= +1.00 m and has velocity v = 30.0 m/s...
2.53A charged particle of mass m and positive charge q moves in uniform electric and magnetic fields. E and B, both pointing in the z direction. The net force on the particle is F = q (E + v x B). Write down the equation of motion for the particle and resolve it into its three components. Solve the equations and describe the particle's motion.
A charged particle with mass M and charge q moves in the x – y plane. There is a magnetic field of magnitude B in the z-direction and an electric field E in the x-direction. (a) Find the Lagrangian in a form where there is an ignorable coordinate. (b) Find the energy function. Is it energy? Is it conserved? Explain why. (c) Find and solve the equations of motion.
2. Consider a charged particle q of mass m B so that the particle is experiencing a Lorentz force qv x B, where v is the velocity of the particle. Now introduce a new frame of reference S' with the same origin fixed frame. Also assume that S' is rotating about some axis passing through the origin with angular velocity chosen w, the particle would appear to be not accelerated. moving in the presence of a small magnetic field that...
3. (a) Show that when a particle with mass m and charge q enters a magnetic field having its velocity v perpendicular to the direction of the magnetic field B, it will perform a mv circular path of radius R- qB (b) Using the previous result find an expression for the period T of the circular motion. (c) A charged particle moves into a region of uniform magnetic field, goes through half a circle and then exits that region, as...
The equations of motion for a particle of mass m and electrical charge q under the influence of a uniform magnetic field B perpendicular to the plane of motion are mx" = qBy' and my" = -qBx'. where x and y are the horizontal Cartesian position coordinates of the particle. Suppose that the particle initially satisfies the conditions Solve the initial value problem and sketch out the trajectory of the particle for t Greaterthanorequalto 0.
A particle with positive charge q = 4.01 10-18 C moves with a velocity
v
= (5î + 5ĵ − ) m/s
through a region where both a uniform magnetic field and a uniform
electric field exist.
(a)
Calculate the total force on the moving particle, taking
B
= (5î + 2ĵ + ) T
and
E
= (3î − ĵ − 2) V/m.
(Give your answers in N for each component.)
Fx= NFy=
NFz= N
(b)
What angle does...
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...
A positive charged particle carries 0.7 JC and moves with a kinetic energy of 0.06 J. It travels through a uniform magnetic field of B = 0.2 T. What is the mass of the particle if it moves in the magnetic field in circular manner with a radius r = 6.6 m? kg
A small particle with positive charge q = +4.25 x 10 ° C and mass m = 7.00 x 10 kg is moving in a region of uniform electric and magnetic fields. The magnetic field is B = 4.00 T in the +z-direction, The electric field is also in the +z-direction and has magnitude E = 60.0 N/C. At time t = 0 the particle is on the y-axis at y= +1.00 m and has velocity v = 30.0 m/s...
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