Question

Determine the currents in the picture

Answer 1

Answer:

The value of currents are $I_1=0A$, $I_2=1A$ and $I_3=1A$.

Step-by-step explanation:

The Ohm's law states that

$V=IR$

It is given that the V₁=3V and V₂=4V.

In a parallel circuit:

→    Voltage is same in each component

→    Sum of the currents equals to the total current that flows.

$I_2=I_1+I_3$                   .... (1)

Equation for first loop is,

$V_1=4I_1+3I_2$

$3=4I_1+3I_2$              ..... (2)

Equation for second loop is,

$V_2=1I_3+3I_2$

$4=1I_3+3I_2$             ..... (3)

On solving (1), (2) and (3) we get

$I_1=0$

$I_2=1$

$I_3=1$

Therefore the value of currents are $I_1=0A$, $I_2=1A$ and $I_3=1A$.