`E` denotes electric field in a uniform conductor, `I` corresponding current through it, `v_(d)` velocity of electrons and `P` denotes thermal power produced in the conductor, then which of the following graph is correct?

Options

A.
B.
C.
D.

Answer

a,b,d

Explanation

`upsilon_(d) = (eE)/(m) tau` i.e. `upsilon_(d)prop E`
`P = (V^(2))/(R ) = ((E//d)^(2))/(R ) = (E^(2))/(d^(2)R)`, i.e. `P prop b E^(2)`
But `E prop upsilon_(d)` so `P prop upsilon_(d)^(2)`
`P = VI = I^(2) R`, i.e. `P prop I^(2)`