Phys 208 – Theoretical Physics – Final – Dec. 14, 2004
1. (17 pts)
Consider an AC circuit which has a resistor
and
inductor in series which is in parallel with a
capacitor.
The
voltage source has an amplitude of 160
volts and operates at a radial frequency
ω
such that
and
.
The resistor
.
ω
L
=
4
Ω
1
4
ω
C
=
Ω
R
=
2
Ω
a)
Find the impedance for the circuit.
b)
Find the total current amplitude and the phase angle for the circuit.
Does the current lag or
lead the voltage?
c) Determine the power factor (p.f.) for the circuit.
d) Determine the average power dissipated in the circuit.
2.
(17 pts)
The force acting on a moving particle in a magnetic field
is given by
G
B
, where
m
is the mass of the particle,
q
is the electric charge, and
is
G
G
G
G
F
m
dv
dt
q v
B
=
=
×
(
)
G
v
the velocity.
Assume the magnetic field is in the
z
direction,
i.e.,
, and that the motion
G
B
B z
=
±
is in the (
x, y
) plane.
a) Give a reason as to why the velocity is perpendicular to the force.
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 Spring '10
 J.Peat
 Theoretical Physics, Magnetic Field, Trigraph, pts, dx r dx, total current amplitude, radial wavefunction Rn

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