b) Identify the pair of parallel lines in Fig. 4. Give reasons for your answer.
K
G
Α Ε
B
122°
A
D
55°
57°
С
123°
Р
H
F
Fig. 4
Answers
Answer:
Step-by-step explanation:
In the figure given
let voltages at A,B,C,D be V
A
,V
B
,V
C
,V
D
.
Let V
A
>V
B
.
given V
A
−V
B
=16V
let current from A to B be
′
i
′
(through r1,r4,r5)
let current from C to D through r2 be i
1
, then current from r3 will be i−i
1
from C to D.
On applying 'Kirchhoff's voltage law' in the closed loop with 9V source :-
9−2(i−i
1
)+1i
1
=0
⇒i
1
=
3
2i−9
.....(1)
On applying 'Kirchhoff's voltage law' from A to B:-
V
A
−4i−9−1i
1
+3−1i−3i−V
B
=0
⇒16−8i−6−i
1
=0 (∵V
A
−V
B
=16)
⇒30−26i+9=0(∵ from equation (1))
⇒i=1.5A
⇒i
1
=−2A
So current through r1,r4,r5 is 1.5A.
current through r2 is 2A.
current through r3 is 0.5A.
solution
Hope it helps you ✌️