SOLUTION: Heat generated by a stove element varies directly as the cube of the voltage and inversely as the resistance. If the voltage remains constant, what needs to be done to triple the a

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Heat generated by a stove element varies directly as the cube of the voltage and inversely as the resistance. If the voltage remains constant, what needs to be done to triple the a      Log On


   



Question 1208726: Heat generated by a stove element varies directly as the cube of the voltage and inversely as the resistance. If the voltage remains constant, what needs to be done to triple the amount of the heat generated?
Found 2 solutions by timofer, ikleyn:
Answer by timofer(105) About Me  (Show Source):
You can put this solution on YOUR website!
Worded as joint and inverse variation problem.

You can take which way variables being assigned, but
h=%28kv%5E3%29%2Fr

Description for question means to keep k and v unchanged but want 3h.

3h=%283kv%5E3%29%2Fr

3h=%28kv%5E3%29%2F%28r%2F3%29
Showing that to use 1%2F3 of the original r value.

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Heat generated by a stove element varies directly as the cube of the voltage and inversely as the resistance.
If the voltage remains constant, what needs to be done to triple the amount of the heat generated?
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The formula described in your post,  is  FATALLY  INCORRECT.

        It  CONTRADICTS  to  BASIC  Physics laws.


The correct formula is  THIS   (the  Joule's law in  Physics)

        The formula for heat generated by electrical resistance per unit of time,  using voltage  (V)  and resistance  (R),
        is H = (V^2/R),  where  H  is the heat generated,  V  is the voltage,  R  is the resistance.


Do not disseminate wrong information in the  Internet.


Your professor  (if exists),  who created the formulation in the post, does not know the basics of  Science.


        Note:  I specially wrote  " if exists "  in my post,  since  I  99%  sure
        that such a  " professor "  does not exist in the nature.


        Because if such a professor existed,
        he (or she) would have been kicked out from everywhere long time ago
        for his or her  TOTAL  and  GLOBAL  illiteracy.


This  " problem "  is a  FAKE.


It does not require to be solved.

It requires to be thrown to the closest garbage bin.


        And a serious categorical warning should be issued to the author for creating
        and disseminating in the Internet  " problems "  in areas where he/she does understand NOTHING.