In the circuit shown in the figure below, the batteries have negligible internal

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.

I1? = A I2? = A I3? = A In the circuit shown in the figure below, the batteries have negligible internal resistance. Find the current in each branch of the circuit. Find the potential difference between point a and point b. 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

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