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2. (i) The governing equation of motion for a single electron of mass m and charge -e moving with velocity y in uniform time-independent magnetic and electric fields is given by mayx B where B- (B, 0...
9. An electron moving with non-relativistic velocity v in an electric field E experiences a magnetic...
9. An electron moving with non-relativistic velocity v in an electric field E experiences a magnetic fieldB given by: v x (-V(r)) v x E B=- where (r) is the electric potential. This magnetic field interacts with the magnetic moment u of the electron given by -S, =n me where S is the electron spin. Assuming non-relativistic mechanics, show that the Hamiltonian representing this effect (spin-orbit coupling) for a spherically-symmetric electric potential is: 1 dφ(r) S.L ΔΗ [6] r dr...
elp with physics 102 An electron moves through a region of crossed electric and magnetic fields....
elp with physics 102
An electron moves through a region of crossed electric and magnetic fields. The electric field E = 2 000 V/m and is directed straight down. The magnetic field B = 0.80 T and is directed to the left. Specify the directions of electric and magnetic forces on the electron if it moves into the paper. For what velocity v of the electron will the electric force exactly cancel the magnetic force? A rod(length = 10 cm)...
4. Uniformly moving point charge A point charge q is in uniform motion with velocity v = vzˆ, where v is a constant. At...
4. Uniformly moving point charge A point charge q is in uniform motion with velocity v = vzˆ, where v is a constant. At time t = 0 the charge is located at the origin. At a later time t 0 , at the field point x = x0, y = z = 0: (a) Find the scalar and vector potential. (b) What coordinate components does the electric field have? (c) What coordinate components does the magnetic field have? (d)...
Motion of Electrons in a Magnetic Field
An electron of mass m and charge -e is moving through a uniform magnetic field \(\vec{B}=\left(B_{x}, 0,0\right)\)
in vacuum. At the origin, it has velocity \(\vec{v}=\left(v_{x}, v_{y}, 0\right)\), where vx>0 and vy >0. A screen is mounted perpendicular to the x axis at a distance D from the origin.The motion of the electron can be broken down into two parts: 1. constant motion in the x direction plus2. a periodic part, the projection of which in the yz plane is circular. Find the angular...
An electron moving with a velocity v = 6.50x107m/s i enters a region of space where...
An electron moving with a velocity v = 6.50x107m/s i enters a region of space where the electric field and magnetic fields are perpendicular to each other. The electric field is E = 2.10x104 V/m j. Part A - Find the magnetic field for which the electron would pass undeflected through the region. 3.23x10-4 T Ê 6.46x10-4 T k -6.46x10-4 T Â -3.23x10-4 T î 3.23x10-4 T î
An electron moves through a uniform electric field vector E = (2.40î + 5.70?) V/m and...
An electron moves through a uniform electric field vector E = (2.40î + 5.70?) V/m and a uniform magnetic field vector B = 0.400k T. Determine the acceleration of the electron when it has a velocity vector v = 6.0î m/s. ax= ay= az=
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.
An electron moves through a uniform electric field vector E = (2.30î + 4.10ĵ) V/m and...
An electron moves through a uniform electric field vector E = (2.30î + 4.10ĵ) V/m and a uniform magnetic field vector B = 0.400k T. Determine the acceleration of the electron when it has a velocity vector v = 6.0î m/s. ax = _____ m/s2 ay = _____m/s2 az = ______m/s2
Electric field. 6. An electron (charge q has a uniform field E- -Ej where E is...
Electric field.
6. An electron (charge q has a uniform field E- -Ej where E is a positive constant. The electron has mass m and, as shown below, is initially moving exactly horizontally with an initial velocity vo -Voi. The chamber is a horizontal distance L long. e) enters a capacitor which (a) Determine the r and y components of the electron's acceleration in terms of the given variables Fet (b) Determine the amount of time the electron spends in...
6. Using the equation of the magnetic field due to a single ring of charge, derive...
6. Using the equation of the magnetic field due to a single ring of charge, derive the formula for the magnetic field at the midpoint between the two coils (see Fig. 2). Your expression should be in terms of N (the number of turns in one coil), I, and R. MOIR² Biot -savart Law Bloop = 2(R2 + z2)3/2 No cau xo - No. Il xr uit 12 un 12 periment 7: Charge to Mass Ratio IVlagiel llen Magnetic Forces...
9. An electron moving with non-relativistic velocity v in an electric field E experiences a magnetic fieldB given by: v x (-V(r)) v x E B=- where (r) is the electric potential. This magnetic field interacts with the magnetic moment u of the electron given by -S, =n me where S is the electron spin. Assuming non-relativistic mechanics, show that the Hamiltonian representing this effect (spin-orbit coupling) for a spherically-symmetric electric potential is: 1 dφ(r) S.L ΔΗ [6] r dr...
elp with physics 102
An electron moves through a region of crossed electric and magnetic fields. The electric field E = 2 000 V/m and is directed straight down. The magnetic field B = 0.80 T and is directed to the left. Specify the directions of electric and magnetic forces on the electron if it moves into the paper. For what velocity v of the electron will the electric force exactly cancel the magnetic force? A rod(length = 10 cm)...
An electron of mass m and charge -e is moving through a uniform magnetic field \(\vec{B}=\left(B_{x}, 0,0\right)\)
in vacuum. At the origin, it has velocity \(\vec{v}=\left(v_{x}, v_{y}, 0\right)\), where vx>0 and vy >0. A screen is mounted perpendicular to the x axis at a distance D from the origin.The motion of the electron can be broken down into two parts: 1. constant motion in the x direction plus2. a periodic part, the projection of which in the yz plane is circular. Find the angular...
An electron moving with a velocity v = 6.50x107m/s i enters a region of space where the electric field and magnetic fields are perpendicular to each other. The electric field is E = 2.10x104 V/m j. Part A - Find the magnetic field for which the electron would pass undeflected through the region. 3.23x10-4 T Ê 6.46x10-4 T k -6.46x10-4 T Â -3.23x10-4 T î 3.23x10-4 T î
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.
Electric field.
6. An electron (charge q has a uniform field E- -Ej where E is a positive constant. The electron has mass m and, as shown below, is initially moving exactly horizontally with an initial velocity vo -Voi. The chamber is a horizontal distance L long. e) enters a capacitor which (a) Determine the r and y components of the electron's acceleration in terms of the given variables Fet (b) Determine the amount of time the electron spends in...
6. Using the equation of the magnetic field due to a single ring of charge, derive the formula for the magnetic field at the midpoint between the two coils (see Fig. 2). Your expression should be in terms of N (the number of turns in one coil), I, and R. MOIR² Biot -savart Law Bloop = 2(R2 + z2)3/2 No cau xo - No. Il xr uit 12 un 12 periment 7: Charge to Mass Ratio IVlagiel llen Magnetic Forces...
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