In the circuit given here, the points A,B and C are 70 V, zero, 10 V respectively . Then,

Options

A. The point D will be at a potential of 60 V
B. The point D will be at a potential of 20 V
C. Currents in the paths AD, DB and DC are in the ratio of `1 : 2 : 3`
D. Currents in the paths AD, DB and DC are in the ratio of `3 : 2 : 1`

Answer

D

Explanation

`(V_(D)-70)/10 + (V_(D)-0)/20 + (V_(D) -10)/30 = 0`
`rArr V_(D)/10 + V_(D)/30 + V_(D)/20 = 7 + 1/3`
`rArr (11 V_(D))/60 = 22/3 rArr V_(D) = 40` volt
`I_(AD) = (70-40)/10 = 3A`
`I_(BD) = 40/20 = 2A`
`I_(DC) = 30/30 = 1A`