Current Source and Figure Essay
21. For the controlled (monitored) source shown in the figure, prepare a plot similar to that given in Fig. 28(b).
v2
v1 = Vb (Vb
v1 = Va (Va
i2 Fig. 28 (b)
Solution:
Open your book & see the figure (P/46)
It is voltage controlled current source.
i2
+Ve axis
v2 Ve axis gv1
i2
gv1 +
v2 current source

22. Repeat Prob. 21 for the controlled source given in the accompanying figure.
Solution:
Open your book & see the figure (P/46)
It is current controlled voltage source.
v2 ri1
i2
23. The network of the accompanying figure is …show more content…
Solution:
Open your book & see the figure (P/47)
Let a battery be connected across it to cause a current i to flow. This is the case of additive flux. M
L1 L2
V i (a)
V = self induced e.m.f. (1) + self induced e.m.f. (2) + mutually induced e.m.f. (1) + mutually induced e.m.f. (2)
V = L1di/dt + L2di/dt + M di/dt + M di/dt
Let Leq be the equivalent inductance then V = Leq di/dt
Leq di/dt = (L1 + L2 + M + M) di/dt
( Leq = L1 + L2 + M + M
Leq = L1 + L2 + 2M
M
L1 L2
i
V
(b)
This is the case of subtractive flux.
( V = L1di/dt + L2di/dt  M di/dt  M di/dt
Let Leq be the equivalent inductance then V = Leq di/dt
Leq di/dt = (L1 + L2  M  M) di/dt
( Leq = L1 + L2  M  M
Leq = L1 + L2  2M
29. A transformer has 100 turns on the primary (terminals 11’) and 200 turns on the secondary (terminals 22’). A current in the primary causes a magnetic flux, which links all turns of both the primary and the secondary. The flux decreases according to the law ( = et Weber, when t ( 0. Find: (a) the flux linkages of the primary and secondary, (b) the voltage induced in the secondary.
Solution:
N1 = 100
N2 = 200
( = et (t ( 0)
Primary flux linkage (1 = N1( = 100 et
Secondary flux