Question

An electron follows a helical path in a uniform magnetic field given by = (16 i ̂ - 54 j ̂ - 37 k ̂ ) mT. At time t = 0, the electron's velocity is given by v → = (21 i ̂ - 35 j ̂ + 55 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 = (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...

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
of magnitude 0.400 T. The pitch of the path is 4.02 μm, and the
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
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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
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(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
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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.

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