The V = 10.90 V battery in the figure below is removed from the circuit and rein
ID: 1280029 • Letter: T
Question
The V = 10.90 V battery in the figure below is removed from the circuit and reinserted with the opposite polarity, so that its positive terminal is now next to point a. The rest of the circuit is as shown in the figure. (R = 10.80 ?.)
(a) Find the current in each branch.
upper branch (A) =
middle branch (A) =
lower branch (A) =
(b) Find the potential difference Vab of point a relative to point b. (V)
Explanation / Answer
Let I1=Current from V=10.9 Volts battery
I2=Current from 5 Volts battery
From Kirchoffs Juction rule Current through R is
I3=I1+I2-----------------------1
Applying KVL in outer loop
10.9-(2+3)*I1-10.8*(I1+I2)=0
15.8I1+10.8I2=10.9---------------------2
Applying KVL in lower loop
5+(4+1)*I2+10.8*(I1+I2)=0
10.8I1+15.8I2=-5-----------------------3
solving 2 and 3
I1=1.7 A
I2=--1.48 A
I3=1.7-1.48=0.22 A
b)
Vab=3*1.7-4*(-1.48)=11.02 Volts
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.