Question

In the following circuit find current delivered by 10V battery​

Answer 1

( 4 ) Zero

Explanation :

Let the current delivered by 10 V battery be i₁ .

Current delivered by 20 V battery be i₂ .

Combined current be i₃ .

⇒ i₃ = i₁ + i₂

Find Attachment .

From loop 1 :

2i₁ + 2i₃ = 10

⇒ 2i₁ + 2i₃ = 10

⇒ 2i₁ + 2( i₁ + i₂ ) = 10

⇒ 4i₁ + 2i₂ = 10 ... (1)

From loop 2 :

2i₃ + 2i₂ = 20

⇒ i₃ + i₂ = 10

⇒ ( i₁ + i₂ ) + i₂ = 10

⇒ i₁ + 2i₂ = 10 ... (2)

Now solve (1) - (2) , we get ,

⇒ ( 4i₁ + 2i₂ ) - ( i₁ + 2i₂ ) = 10 - 10

⇒ 3i₁ = 0

⇒ i₁ = 0

So the current delivered by 10 V battery = i₁ = 0 V