PROBLEMS 61
L 11 L 22
i 1 i 2
v 1 v 2
+
−
+
−
M
(a)
L 11 L 22
i 1 i 2
v 1 v 2
−
+
−
+
M
(b)
Figure P1.2.32
i 2
i 1
v 2
v 1 v 3
L 22
L (^12) L
13 L^23
L 11 L 33
- − − +
- −
i 3
Figure P1.2.34
18 Ω 2 Ω
Ideal
transformer
Ideal
transformer
vin =
18 sin 10t V
Vout (t)
3:1 1:2
36 Ω 3 Ω
−
−
Figure P1.2.36
*1.2.37A 60-Hz, 100-kVA, 2400/240-V (rms) transformer
is used as a step-down transformer from a trans-
mission line to a distribution system. Consider the
transformer to be ideal.
(a) Find the turns ratio.
(b) What secondary load resistance will cause the
transformer to be fully loaded at rated voltage
(i.e., delivering the rated kVA), and what is
the corresponding primary current?
(c) Determine the value of the load resistance
referred to the primary side of the transformer.
1.2.38A transformer is rated 10 kVA, 220:110 V (rms).
Consider it an ideal transformer.
(a) Compute the turns ratio and the winding cur-
rent ratings.
(b) If a 2-load resistance is connected across the
110-V winding, what are the currents in the
high-voltage and low-voltage windings when
rated voltage is applied to the 220-V primary?
(c) Find the equivalent load resistance referred to
the 220-V side.
1.3.1Some element voltages and currents are given in
the network configuration of Figure P1.3.1. De-