Question

P=V*V/R HERE POWER IS INVERSELY PROPORTIONAL TO R P=I*I*R HERE IT IS DIRECTLY PROPORTIONAL TO R WE KNOW THAT P=V*V/R AND I*I*R HOW CAN R BE DIRECTLY PROPORTIONAL IN ONE CASE AND INVERSE IN OTHER

Answer 1

Recall Ohm's law:

V=IR

So you have to consider two cases: is voltage going to vary with resistance or is current (and the other stays constant). If voltage varies, then you would look at the power equation

P = I^2 R

In which all variables other than P and R are constant. Then P is proportional to R

If the current varies, you would choose the other equation:

P = V^2 / R

In which (again) all variables (V) other than P and R are constant.

So, P can be both directly and indirectly proportional to R, depending on the situation.