The resistance of a heating element is very high to generate more power according to P = I^2.R.

But if you use P = V^2/R, a higher resistance leads to lower power generation.

How do I reconcile the contradiction?

Question

The resistance of a heating element is very high to generate more power according to P = I^2.R. 

But if you use P = V^2/R, a higher resistance leads to lower power generation.

How do I reconcile the contradiction?

ujjwal · Answer

In first case, with increase in resistance the current decreases.. So, that doesn't make any difference!

anonymous · Answer

if resistance increases power decreases because power has quadratic relation with current, and current has inverse linear relation with resistance.

anonymous · Answer

Every heating appliance uses high resistance nichrome and the current in this scenario is fixed as the appliance has a specific power rating that draws a specific current in order to function properly. Besides, a low resistance draws high current that will blow the fuse

ujjwal · Answer

Current is not fixed.. It varies with resistance!
Ohm's law: V=IR

anonymous · Answer

Then how do I increase the heating effect of an electric heater?

Why do heating element uses high resistance material then?

ujjwal · Answer

because low resistance material won't generate much heat..
Moreover, high melting point is also considered while choosing material for electric heater!