AP EAMCET202124 Aug 2021Evening ShiftPhysicsCurrent ElectricityActual
Current through the branch B D , in the given circuit is
Options
- A6.6 ~A
- B5.0 ~A
- C4.3 ~A
- D3.2 ~A
Correct answer
B. 5.0 ~A
Step-by-step solution
Let i₁ and i₂ be current drawn from battery 15 V and 30 ~V , respectively as shown below Hence, by KCL, Net current passing through branch B Di₃=i₁+i₂ ...(i) By KVL, in loop A B D A , 15-6 i₁-3 (i₁+i₂ )=0 -6 i₁-3 i₁-3 i₂=-15 3 i₁+i₂=5 ...(ii) In loop C B D C, 30-3 i₂-3 (i₁+i₂ )=0 i₁+2 i₂=10 ...(iii) By solving Eqs. (ii) and (iii), we get i₁=0 and i₂=5 ~A Substituting these values in Eq. (i), we get Current through branch B D , i₃=i₁+i₂=0+5=5 ~A