A metal bar of mass m slides without friction over two rails a distance D apart in the region that has a uniform magnetic held of magnitude B 0 and direction perpendicular to the rails (see below). The two rails are connected at one end to a resistor whose resistance is much larger than the resistance of the rails and the bar The bar is given an initial speed of vg. It is found to slow down. How far does the bar go before coming to rest? Assume that the magnetic held of the induced current is negligible compared to B 0
A metal bar of mass m slides without friction over two rails a distance D apart in the region that has a uniform magnetic held of magnitude B 0 and direction perpendicular to the rails (see below). The two rails are connected at one end to a resistor whose resistance is much larger than the resistance of the rails and the bar The bar is given an initial speed of vg. It is found to slow down. How far does the bar go before coming to rest? Assume that the magnetic held of the induced current is negligible compared to B 0
A metal bar of mass m slides without friction over two rails a distance D apart in the region that has a uniform magnetic held of magnitude
B
0
and direction
perpendicular to the rails (see below). The two rails are connected at one end to a resistor whose resistance is much larger than the resistance of the rails and the bar The bar is given an initial speed of vg. It is found to slow down.
How far does the bar go before coming to rest? Assume that the magnetic held of the induced current is negligible compared to
B
0
As a model of the physics of the aurora, consider a proton emitted by the Sun that
encounters the magnetic field of the Earth while traveling at 3.3 × 10³ m/s.
Figure
Z
V
Vparallel
B
Vperpendicular
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< 1 of 1
Part A
The proton arrives at an angle of 33" from the direction of B (refer to (Figure 1)). What is the radius of the circular portion of its path if B
Express your answer to two significant figures and include appropriate units.
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Value
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Part B
Value
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Part C
Calculate the time required for the proton to complete one circular orbit in the magnetic field.
Express your answer to two significant figures and include appropriate units.
6
A
Value
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Units
6 A
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Units
C
How far parallel to the magnetic field does the proton travel during the time to complete a circular orbit? This is called the pitch of its helical motion.
Express your answer to two significant figures and include appropriate units.
BI?
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2.8 x 10-5…
A charged particle, after entering a constant magnetic field B, starts moving freely
along a circular path in the magnetic field applied perpendicular to the particle's
velocity (v). What do you conclude about the particle's kinetic energy (KE)?
KE increases under the constant magnetic force Fg.
KE decreases when magnetic force (FB) is perpendicular to the motion (v).
KE and magnetic force FB are not correlated.
KE remains unaltered as v and FB are perpendicular to each other
Can children be used to generate electricity? Consider turning a swing into an electric
generator by building it out of conducting material such that it forms a conducting loop, as
shown in the schematic diagram below.
L
w
The swing rotates around the line 1-4; the swinging motion is described by the time
evolution of the angle between the swing and the vertical direction,
o) = A sin(cor).
For simplicity, we place the swing right on top of the magnetic North Pole, so that the
magnetic field, which has magnitude B, points straight upwards.
In your answers, enter o as "theta" and m as "omega" (without the quotation marks).
You must indicate multiplication with an asterisk (). For example, A sin(ont) is
entered as "A*sin(omega*t)".
Derive an expression for the magnetic flux through the conducting loop as a function of
time.
Hence derive an expression for the voltage between points a and bas a function of time.
Vas =
N
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