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) Find the component Ex.
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4. Uniformly moving point charge A point charge q is in uniform motion with velocity v = vzˆ, where v is a constant. At...
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...
A point charge Q=3.79 micro C moving with velocity (boldface denotes vectors): v= (19.0 i +11.7...
A point charge Q=3.79 micro C moving with velocity (boldface denotes vectors): v= (19.0 i +11.7 j +15.2 k) m/s,enters a region of uniform magnetic field: B= (1663 i +1406 j +1108 k) T. Right after entering the field region: What is the x-component of the magnetic force exerted on Q?
1. A point charge +Q is located at the origin, and a point charge -Q is...
1. A point charge +Q is located at the origin, and a point
charge -Q is located at (x,y) = (0,L).
(a) Find the electric field at point P, which is a distance L
away from both +Q and -Q, as shown in the diagram. Express your
answer in unit vector notation using the coordinate system
given.
(b) A point charge -2Q is placed at point P. Find the Coulomb
force on the charge -2Q due to the other two...
A particle with charge q exists in a region with a uniform electric field Ē =...
A particle with charge q exists in a region with a uniform electric field Ē = Eî. There is no magnetic field. The particle’s initial velocity is ū = voĉ. The initial position is at the origin. a. Write the differential equation of motion using Newton's second law. Write it in vector form, and then write an equation for each component. b. Find x(t), y(t), and z(t).
All parts needed A moving charge or current produces what kind of field? At t =...
All parts needed
A moving charge or current produces what kind of field? At t = 0 a charge q_0 is at rest a uniform magnetic field. There are no other fields present. Discuss the motion of this stationary particle as a function of time. What is the approximate magnitude of the Earth's magnetic field in Pocatello, Idaho? Two long parallel wires placed side-by-side on a horizontal table can identical current straight toward you. From your point of view, what...
A particle with a charge of q = -5.68nC is moving in a uniform magnetic field...
A particle with a charge of q = -5.68nC is moving in a uniform magnetic field of B? =( 2.20T ) z^. The magnetic force on the particle is measured to beF? =( 6.10?N )?y^. a) Calculate the x component of the velocity of the particle. b)What is the radius of the circular motion the particle will have in the magnetic field if the particle has a mass of 0.700g ? c)What is the period of this circular motion? d)What...
A positive charge is moving with velocity v through a region of space where a uniform...
A positive charge is moving with velocity v through a region of space where a uniform magnetic field exists everywhere into the screen, as the figure shows. What is the direction of the magnetic force on the charge just as it enters the field? B (into the screen) ㄨㄨㄨㄨㄨ ㄨㄨㄨㄨㄨ Downward Upward O Right O Into the screen Left O Out of the screen The figure shows three particles with identical charge magnitudes and masses moving through a uniform magnetic...
A positive charge is moving with velocity v through a region of space where a uniform...
A positive charge is moving with velocity v through a region of space where a uniform magnetic field exists everywhere into the screen, as the figure shows. What is the direction of the magnetic force on the charge just as it enters the field? B (into the screen) ㄨㄨㄨㄨㄨ ㄨㄨㄨㄨㄨ ㄨㄨㄨㄨㄨ Out of the screen Downward Right Upward
Understand how to find the equation of motion of a particle undergoing uniform circular motion. Consider...
Understand how to find the equation of motion of a particle undergoing uniform circular motion. Consider a particle--the small red block in the figure--that is constrained to move in a circle of radius R. We can specify its position solely by θ(t), the angle that the vector from the origin to the block makes with our chosen reference axis at time t. Following the standard conventions we measure θ(t) in the counterclockwise direction from the positive x axis. (Figure 1)...
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...
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, 0,0) di dr (a) Suppose the electron initially moves with velocity y (0,vo 0) in an electric field parallel to the magnetic field E-E-(E,00) By taking vf)-v +vi, where y i0, obtain v, and show that the speed vis constant. Describe (in words) the...
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...
1. A point charge +Q is located at the origin, and a point
charge -Q is located at (x,y) = (0,L).
(a) Find the electric field at point P, which is a distance L
away from both +Q and -Q, as shown in the diagram. Express your
answer in unit vector notation using the coordinate system
given.
(b) A point charge -2Q is placed at point P. Find the Coulomb
force on the charge -2Q due to the other two...
A particle with charge q exists in a region with a uniform electric field Ē = Eî. There is no magnetic field. The particle’s initial velocity is ū = voĉ. The initial position is at the origin. a. Write the differential equation of motion using Newton's second law. Write it in vector form, and then write an equation for each component. b. Find x(t), y(t), and z(t).
All parts needed
A moving charge or current produces what kind of field? At t = 0 a charge q_0 is at rest a uniform magnetic field. There are no other fields present. Discuss the motion of this stationary particle as a function of time. What is the approximate magnitude of the Earth's magnetic field in Pocatello, Idaho? Two long parallel wires placed side-by-side on a horizontal table can identical current straight toward you. From your point of view, what...
A positive charge is moving with velocity v through a region of space where a uniform magnetic field exists everywhere into the screen, as the figure shows. What is the direction of the magnetic force on the charge just as it enters the field? B (into the screen) ㄨㄨㄨㄨㄨ ㄨㄨㄨㄨㄨ Downward Upward O Right O Into the screen Left O Out of the screen The figure shows three particles with identical charge magnitudes and masses moving through a uniform magnetic...
A positive charge is moving with velocity v through a region of space where a uniform magnetic field exists everywhere into the screen, as the figure shows. What is the direction of the magnetic force on the charge just as it enters the field? B (into the screen) ㄨㄨㄨㄨㄨ ㄨㄨㄨㄨㄨ ㄨㄨㄨㄨㄨ Out of the screen Downward Right Upward
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, 0,0) di dr (a) Suppose the electron initially moves with velocity y (0,vo 0) in an electric field parallel to the magnetic field E-E-(E,00) By taking vf)-v +vi, where y i0, obtain v, and show that the speed vis constant. Describe (in words) the...
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