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olga55 [171]
3 years ago
5

Determine the currents in the picture

Mathematics
1 answer:
Elenna [48]3 years ago
6 0

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.

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