In a two-source circuit, one source acting alone produces 10 ma through a given branch. the other source acting alone produces 8

Question

oee [108]

3 years ago

14

In a two-source circuit, one source acting alone produces 10 ma through a given branch. the other source acting alone produces 8

ma in the opposite direction through the same branch. the actual current through the branch is

Physics

1 answer:

pashok25 [27] · Answer 1 · 2022-04-29T13:14:22+03:00

Refer to the figure below.
R = resistance.

Case 1:
The voltage source is V₁ and the current is 10 mA. Therefore
V₁ = (10 mA)R

Case 2:
The voltage source is V₂ and the current is 8 mA. Therefore
V₂ = (8 mA)R

Case 3:
The voltage across the resistance is V₁ - V₂. Therefore the current I is given by
V₁ - V₂ = IR
10R - 8R = (I mA)R
2 = I
The current is 2 mA.

Answer: 2 mA