(a) An ideal single-phase two-winding transformer with turns ratio a t = N 1 / N 2 is connected with a series impedance Z 2 across winding 2. If one wants to replace Z 2 , with a series impedance Z 1 across winding 1 and keep the terminal behavior of the two circuits to be identical, find Z 1 in terms of Z 2 . (b) Would the above result be true if instead of a series impedance there is a shunt impedance? (c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impedance by a t 2 ?
(a) An ideal single-phase two-winding transformer with turns ratio a t = N 1 / N 2 is connected with a series impedance Z 2 across winding 2. If one wants to replace Z 2 , with a series impedance Z 1 across winding 1 and keep the terminal behavior of the two circuits to be identical, find Z 1 in terms of Z 2 . (b) Would the above result be true if instead of a series impedance there is a shunt impedance? (c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impedance by a t 2 ?
Solution Summary: The author calculates the voltage and current for a conventional two-winding single-phase transformer.
(a) An ideal single-phase two-winding transformer with turns ratio
a
t
=
N
1
/
N
2
is connected with a series impedance
Z
2
across winding 2. If one wants to replace
Z
2
, with a series impedance
Z
1
across winding 1 and keep the terminal behavior of the two circuits to be identical, find
Z
1
in terms of
Z
2
.
(b) Would the above result be true if instead of a series impedance there is a shunt impedance?
(c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impedance
by
a
t
2
In the zone refining of silicon, an RF-heater is used to remove trace amounts of impuritiesfrom the silicon. If the silicon has the impurity of 10^14 Co (k = 8*10^-6) what is the purityof the crystal after one pass of the zone refiner? After two passes? Plot concentration as afunction of crystal length from 0 to 8ft (total length of the crystal). The width of the moltenzone is 5”.
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Chapter 3 Solutions
MindTap Engineering, 1 term (6 months) Printed Access Card for Glover/Overbye/Sarma's Power System Analysis and Design, 6th
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