I want to replace Question ID: 308586 by the next following slightly
revised question:
Consider a 2.5 cm diameter, 27.3 cm long rod composed of five sections
with its ends fixed. The middle section is an electromagnet (iron rod
core) that is 25 cm long, has a mass of 4.7 kg, and produces a
magnetic flux of B = 0.82 T when a current energizes it. Glued to each
end of this middle section is a 0.2 cm thick Plexiglas (or Lucite)
separator disk (also 2.5 cm in diameter) that exhibits a modulus of
elasticity of 50,000 psi, tensile strength of 7,000 psi, compression
strength of 12,000 psi, elongation of 8%, Brinell Hardness number of
19, and a mass of 12 milligrams. Glued flush against these separation
disks at both ends of the rod are two 0.95 cm thick fixed
permanent-magnet disks (also 2.5 cm in diameter) each having a
magnetic flux also = 0.82T and a mass of 36 milligrams. When a half
cycle of AC current passes through the electromagnet?s coils the
center section or electromagnet core is urged to the right with the
sequence of polarities left-to-right: N (permanent magnet) to N
(electromagnet) and S (electromagnet) to N (permanent magnet). When
the next half cycle of AC current passes through the electromagnet?s
coils the electromagnet?s core is urged to the left with the sequence
of polarities left-to-right: N to S and N to N. The questions are: (1)
When a 60 cycle AC current is applied to the electromagnet?s coils,
what is the force (in Newtons) that the core rod produces against the
fixed permanent-magnet ends, what is the acceleration of the core rod
in g?s, and what are the equations utilized to obtain these values?
(2) What is the power (watts) consumed each cycle (in addition to
power lost due to the resistance of the coils, which happen to amount
to about 5 watts)? (3) If the AC current has a frequency of one kHz
does the answer to (1) and to (2) change? (4) If the AC current is one
GHz does the answer to (1) and to (2) change and if so, then what are
the new results? |