19. Find the equivalent resistance between
the terminals of A and B in the network
shown in the figure below given that the
resistance of each resistor is 10 ohm.
Answers
Answer:
Maharashtra State Board
HSC Science (General) 12th Board Exam
Question Papers219
Textbook Solutions2425
Important Solutions3300
Question Bank Solutions6252
Concept Notes & Videos & Videos518
Time Tables23
Advertisement
LoginCreate free account
Course
HSC Science (General) 12th Board Exam Maharashtra State Board
HSC Science (General) 12th Board Exam Maharashtra State Board
change
Home
Search
Online Classes
My Profile [view full profile]
why create a profile on Shaalaa.com?
1. Inform you about time table of exam.
2. Inform you about new question papers.
3. New video tutorials information.
Login / Register
QUESTION By default hide Solutions
Answer in Brief.
Find the equivalent resistance between the terminals of A and B in the network shown in the figure below given that the resistance of each resistor is 10 ohm.
SOLUTION
Applying KVL in loop KLOPK
−I1R = (I1 − I2)R + (I − I1)R + R(I − I1) = 0
−I1R − I1R + I2R + 2IR − 2I1R = 0
−4I1R + I2R + 2IR = 0
⇒ 4I1 − I2 = 2I .......(i)
Applying KVL in loop LMNOL
−I2R − I2R + (I − I2)R + R(I1 − I2) = 0
−2I2R + IR − I2R + I1R − I1R = 0
− 4 I2R + IR + I1R = 0
⇒ 4I2 − I − I1 = 0
4I2 − I1 = I ........(ii)
Applying LVL in loop AKPONBA
−(I − I1)R − (I − I1)R − (I − I2)R + E = 0
2(I − I1)R + (I − I2)R = E .......(iii)
I1 =
I35I
I2 =
I25I
75IR = E
75IR = IR1
R1 =
75R
=
75R
=
75×10
= 14 Ω