5. Find the unknown currents in the curcuits shown in Fig. 2.40 (a). DC Network Theorems 4A 8A SA 5A 10A ЗА 7A 1A 6A (a) Fig. 2.40 (b)

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5. Find the unknown currents in the curcuits shown in Fig. 2.40 (a).
(I, = 2 A ; 1, = 7 A]
DC Network Theorems
71
4A
8A
76
SA
12A
5A
10A
ЗА
ww-
6A
7A
1A
6A
8A
(a)
Fig. 2.40
(b)
6. Using Kirchhoff's current law, find the values of the unknown currents in Fig. 2.40 (b).
= 2 A; 1, = 2 A ; l3 = 4 A ; 1, = 10 A]
7. In Fig. 2.41, the potential of point A is - 30 V. Using Kirchhoff's voltage law, find (a) value of V and
[100 V; 500 W]
(b) power dissipated by 5 2 resistance. All resistances are in ohms.
5
+ 20 V-
ww
10
13
V
6.
30 VI
|11A
12
60 V
18
S12
9.
-30 V4
8A
15
Fig. 2.41
Fig. 2.42
Fig. 2.43
8. Using KVL and KCL, find the values of V and / in Fig. 2.42. All resistances are in ohms.
[80 V; - 4 A]
9. Using KCL, find the values Vap. !. 1, and in the circuit of Fig. 2.43. All resistances are in ohms.
AB
[VAB = 12 V ; 1, = 2/3 A; Iz = 1 A: Iz = 4/3 A]
10. A bridge network ABCD is arranged as follows:
Resistances between terminals A-B, B-C, C-D. D-A, and B-D are 10, 20, 15. 5 and 40 ohms respec-
tively. A 20 V battery of negligible internal resistance is connected between terminals A and C.
Determine the current in each resistor.
[AB = (0.645 A; BC = 0.678 A; AD = 1.025 A; DB = 0,033 A; DC = 0.992 A]
%3D
11. Two batteries A and B are connected in parallel and a load of 10 2 is connected across their terminals.
A has an e.m.f. of 12 V and an internal resistance of 2 2; B has an e.m.f. of 8 V and an internal
resistance of 1 2. Use Kirchhoff's laws to determine the values and directions of the currents flowing
in each of the batteries and in the external resistance. Also determine the p.d. across the external
resistance.
I = 1.625 A (discharge), I =0.75 A (charge); 0.875 A; 8.75 V]
12. The four arms of a Wheastone bridge have the following resistances : AB = 100, BC = 10, CD = 4, DA
= 50 ohms.
A galvanometer of 20 ohms resistance is connected across BD. Calculate the current through the
galvanometer when a potential difference of 10 volts is maintained across AC.
[0.00513 Al [Elect. Tech. Lond. Univ ]
13. Find the voltage V in the network shown in Fig. 2.44 (a) if R is 10 2 and (b) 20 .
[(a) 5 V (b) 5 V]
etween points a and b i.e. V
[30 V] (Elect. Engg. I, Bombay Univ. 1979)
72
Electrical kology
in
in
ww
2A
30 V
10
30 V=
10
ww
ww
ww
Transcribed Image Text:5. Find the unknown currents in the curcuits shown in Fig. 2.40 (a). (I, = 2 A ; 1, = 7 A] DC Network Theorems 71 4A 8A 76 SA 12A 5A 10A ЗА ww- 6A 7A 1A 6A 8A (a) Fig. 2.40 (b) 6. Using Kirchhoff's current law, find the values of the unknown currents in Fig. 2.40 (b). = 2 A; 1, = 2 A ; l3 = 4 A ; 1, = 10 A] 7. In Fig. 2.41, the potential of point A is - 30 V. Using Kirchhoff's voltage law, find (a) value of V and [100 V; 500 W] (b) power dissipated by 5 2 resistance. All resistances are in ohms. 5 + 20 V- ww 10 13 V 6. 30 VI |11A 12 60 V 18 S12 9. -30 V4 8A 15 Fig. 2.41 Fig. 2.42 Fig. 2.43 8. Using KVL and KCL, find the values of V and / in Fig. 2.42. All resistances are in ohms. [80 V; - 4 A] 9. Using KCL, find the values Vap. !. 1, and in the circuit of Fig. 2.43. All resistances are in ohms. AB [VAB = 12 V ; 1, = 2/3 A; Iz = 1 A: Iz = 4/3 A] 10. A bridge network ABCD is arranged as follows: Resistances between terminals A-B, B-C, C-D. D-A, and B-D are 10, 20, 15. 5 and 40 ohms respec- tively. A 20 V battery of negligible internal resistance is connected between terminals A and C. Determine the current in each resistor. [AB = (0.645 A; BC = 0.678 A; AD = 1.025 A; DB = 0,033 A; DC = 0.992 A] %3D 11. Two batteries A and B are connected in parallel and a load of 10 2 is connected across their terminals. A has an e.m.f. of 12 V and an internal resistance of 2 2; B has an e.m.f. of 8 V and an internal resistance of 1 2. Use Kirchhoff's laws to determine the values and directions of the currents flowing in each of the batteries and in the external resistance. Also determine the p.d. across the external resistance. I = 1.625 A (discharge), I =0.75 A (charge); 0.875 A; 8.75 V] 12. The four arms of a Wheastone bridge have the following resistances : AB = 100, BC = 10, CD = 4, DA = 50 ohms. A galvanometer of 20 ohms resistance is connected across BD. Calculate the current through the galvanometer when a potential difference of 10 volts is maintained across AC. [0.00513 Al [Elect. Tech. Lond. Univ ] 13. Find the voltage V in the network shown in Fig. 2.44 (a) if R is 10 2 and (b) 20 . [(a) 5 V (b) 5 V] etween points a and b i.e. V [30 V] (Elect. Engg. I, Bombay Univ. 1979) 72 Electrical kology in in ww 2A 30 V 10 30 V= 10 ww ww ww
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