KCET2010PhysicsCurrent Electricity
In the circuit given here, the points A, B and C are 70 ~V , zero, 10 ~V respectively. Then
Options
- Athe point D will be at a potential of 60 ~V
- Bthe point D will be at a potential of 20 ~V
- Ccurrents in the paths AD, DB and DC are in the ratio of 1: 2: 3
- Dcurrents in the paths AB , DB and DC are in the ratio of 3: 2: 1
Correct answer
C. currents in the paths AD, DB and DC are in the ratio of 1: 2: 3
Step-by-step solution
Applying Kirchhoff's law at point D, we get aligned I ₁ &= I ₂+ I ₃ & V _ A - V _ D 10 = V _ D -0 20 + V _ D - V _ C 30 or & 70- V _ D = V _ D + V _ D -10 2 + 70 3 & V _ D =40 ~V & i ₁ = 70-40 10 =3 ~A aligned i ₂= 40-0 20 =2 ~A and i ₃= 40-10 30 =1 ~A