Current Source and Figure Essay

2859 Words Aug 31st, 2013 12 Pages
Conventions for Describing Networks

2-1. For the controlled (monitored) source shown in the figure, prepare a plot similar to that given in Fig. 2-8(b).

v2

v1 = Vb (Vb

v1 = Va (Va

i2 Fig. 2-8 (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

-

2-2. Repeat Prob. 2-1 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

2-3. The network of the accompanying figure is
…show more content…
For each of the two systems, determine the equivalent inductance of the system at terminals 1-1’ by combining inductances.
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

2-9. A transformer has 100 turns on the primary (terminals 1-1’) and 200 turns on the secondary (terminals 2-2’). 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 ( = e-t 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
( = e-t (t ( 0)
Primary flux linkage (1 = N1( = 100 e-t
Secondary flux

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