Question

An electron follows a helical path in a uniform magnetic field given by = (22 i ̂ -60j ̂ - 36 k ̂ ) mT. At time t = 0, the electron's velocity is given by v → = (21 i ̂ - 28 j ̂ + 40 k ̂ ) m/s. (a) What is the angle φ between v → and B → ? The electron's velocity changes with time. (b) Do its speed changes with time? (c) Do its angle φ changes with time? (d) What is the radius of the helical path?

Answer #1

An electron follows a helical path in a uniform magnetic field
given by = (20 i ̂ - 54 j ̂ - 33 k ̂ ) mT. At time t = 0, the
electron's velocity is given by v → = (21 i ̂ - 26 j ̂ + 43 k ̂ )
m/s. (a) What is the angle φ between v → and B → ? The electron's
velocity changes with time. (b) Do its speed changes with time?...

An electron follows a helical path in a uniform magnetic field
given by B→= (19 î - 59ĵ - 27k̂) mT. At time t = 0, the
electron's velocity is given by v→ = (22î - 24ĵ + 53k̂) m/s.
(a) What is the angle φ between v→ and B→? The
electron's velocity changes with time. (b) Do its
speed changes with time? (c) Do its angle φ
changes with time? (d) What is the radius of the
helical path?

An electron follows a helical path in a uniform magnetic field
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magnitude of the magnetic force on the electron is 1.86 ×
10-15N. What is the electron's speed?

An electron enters uniform magnetic field B= 0.20 T at angle 45
degrees to B with speed v=2.8*10^6 m/s. Find pitch (distance
between loops) of the electron's helical path.

An electron moves through a uniform magnetic field given by = Bx
i ̂ +(4.52 Bx) j ̂ . At a particular instant, the electron has
velocity v → = (2.66 i ̂ +4.30 j ̂ ) m/s and the magnetic force
acting on it is (4.31 × 10-19) k ̂ N. Find Bx.

An electron has velocity V = (29i + 38j) km/s as it enters a
uniform magnetic field B= 50 i µT. What are (a) the radius of the
helical path taken by the electron and (b) the pitch of that path?
(c) To an observer looking into the magnetic field region from the
entrance point of the electron, does the electron spiral clockwise
or counterclockwise as it moves? The charge of an electron is
-1.602 × 10-19 C and its...

A proton moves through a uniform magnetic field given by Vector
B = (12.9i -30.7j +19.2k) mT. At time t1, the proton has a velocity
given by v = vxi+vyj + (1.88 km/s)k and the magnetic force on the
proton is Fb= (5.23e-17N)i +(2.20e-17N)j . (a) At that instant,
what is vx? (b) At that instant, what is vy?

A positron with kinetic energy 1.60 keV is projected into a
uniform magnetic field of magnitude 0.140 T, with its velocity
vector making an angle of 83.0° with the field. Find (a) the
period, (b) the pitch p, and (c) the radius r of its helical
path.

An electron enters a region of space containing a uniform
1.27×10^−5 T magnetic field. Its speed is 157 m/s and it enters
perpendicularly to the field. Under these conditions, the electron
undergoes circular motion. Find the radius ? of the electron's path
and the frequency ? of the motion.

An electron is shot into one end of a solenoid. As it enters the
uniform magnetic field within the solenoid, its speed is 800 m/s
and its velocity vector makes an angle of 33° with the central axis
of the solenoid. The solenoid carries 3.00 A and has 8170 turns
along its length. How many revolutions does the electron make along
its helical path within the solenoid by the time it emerges from
the solenoid's opposite end? (In a real...

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