Question

Determine the currents in the picture

Answer 1

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`.