Figure `7.37` shows a network of three resistances. When some potential difference is applied across the network , thermal powers dissipated by `A, B and C` are in the ratio

Options

A. `2 : 3 : 4`
B. `2 : 4 : 3`
C. `4 : 2: 3`
D. `3 : 2: 4`

Answer

C

Explanation

Let current flow from ` b to a` as shown `(Fig. S7.9)`.
Ratio is `((2)/(3) I)^(2) 3R: ((1)/(3) I)^(2) 6 R : I^(2)R`
`(4)/(3) : (2)/(3) : 1 or 4: 2: 3`