Question

Obtain an expression for the heat produced in a conductor when a voltage v is applied across it. heating effect of electric current is desirable as well as undesirable. explain this statement.

Answer 1

HEY MATE HERE IS YOUR ANSWER

To calculate the heat produced in a conductor, consider current I is flowing through a conductor AB of resistance R for time t. also consider that the potential difference applied across its two ends is V.

Now, total amount of work done in moving a charge q from point A to B is given by:

W     =     q     X     V  ---- (1)

Now, we know that charge = current × time

or        q     =     I     X     t

and      V     =     I     X     R (Ohm’s law)

Putting the values of q and V in equation (1), we get

W     =     (I   X   t)    X    (I   X   R)

Or    

W     =     I^2Rt

Now, assuming that all the work done is converted into heat energy we can replace symbol of ‘work done’ with that of ‘heat produced’. So,

H     =     I^2RT

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Answer 2

Answer:

Explanation:

    According to ohms law $V=IR$-------(1)

               Current flowing   =$I=\frac{Q}{T}$

                                           $Q=I*T$--------(2)

       From potential difference formula(V)=W/Q

                        Work done(W)=   $V*Q$-------(3)

                   From equation (1) and (2)and subtuting in equation(3)

                     work done=   $(I*R)*(I*T)$

                                        =$I^{2} *R*T$

                        Heat energy is northing but work done by the conductor.

                                      $H=I^{2} *R*T$

                                       $H=\frac{V^{2} }{R} *T$              ($I=V/R$)

                                       $H=PT$                   ($P=V^{2} /R$)

         Heating effect is desirable because it is useful for the functioning of electrical bulbs, and undesirable because it leads to unnecessary loss of energy.                

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