The temperature coefficient of resistance of conductor varies as `alpha(T) = 3T^2 +2T.` If `R_0` is resistance at T = 0and R is resistance at T, then

Options

A. `R = R_0(6T - 2)`
B. `R = 2R_0(3 +2T0`
C. `R = R_0(1 + T^2 +T^2)`
D. `R = R-0(1 - T + T^2 T^3)`

Answer

C

Explanation

In the steady state no current flow through C.

`15 = 3xx2I//3 +3I +3I or I 3A`
`V_(A)- 3I//3 -3I = V_(B)`
or `V_(A) - V_(B) = 4I = 4xx3 = 12 V`