In the circuit shown in the figure below, the batteries have negligible internal
ID: 2142380 • Letter: I
Question
In the circuit shown in the figure below, the batteries have negligible internal resistance.
(a) Find the current in each branch of the circuit.
(b) Find the potential difference between point a and point b.
__________ V
(c) Find the power supplied by each battery.
Explanation / Answer
Let I(2) br the cuirrent delivered by 7V battery
and I(3) be the current delivered by 5 V battery.
and I(1) be the current through 1 ohm.
By KCL
I(2)=I(3)+I(1)
Applying KVL to outer loop
7-2I(3)-1*I(1) =0
7-2I(3)-I(2)+I(3) =0
I(2) +I(3)=7------------1
applyin KVL to left side loop
7-2I(2)-3I(3)+5=0
2(I2)+3I(3) =12-------2
solving 1 and 2 we get
I(2) =3A
I(3)=2A
I(1) =3-2 =1 A
a)
I(1) =1A
I(2)=3A
I(3) =2A
b)
P(5) =5*2=10 W
P(7)=7*3=21 W