- TRIUMF POWER USE:
The electromagnet that generates the magnetic field for the
world's largest cyclotron at TRIUMF has conductors made of
aluminum (resistivity
m)
wound in a circle of radius 9.5 m. The conductor has a
rectangular cross section (2.5 cm
42 cm).
There are 15 turns in the top half of the magnet and 15 in the
bottom half, for a total length of 30 circumferences (the top and
bottom coils are connected in series).
If we apply 100 V to the coils, what current flows through it?
How much power does this require to run?
- DISTRIBUTED LOAD: [Challenge problem!]
A power transmission line (for instance)
can be modelled as an array of discrete resistors
such as that shown below.
If the array continues indefinitely to the right,
what is the effective resistance between A and B?
-
RC CIRCUIT TIME-DEPENDENCE:
In the circuit shown,
kV,
F and
M
.
With
completely uncharged,
switch S is suddenly closed (at
).
- Determine the currents through each resistor
for
and as
.
-
Draw a qualitative graph of the potential difference
across
as a function of time from
and as
.
-
What are the numerical values of
at
and as
?
-
Give the practical physical meaning of "as
" in this case.
-
Finally, write down expressions for the currents through
,
and
as functions of time, in terms of
and
.
Jess H. Brewer
2005-02-08