Derive the formula of work done when current flows through a conductor or resistor

 We know that conductors offer resistance when electric current is passed through them and work must be done continuously to maintain the supply of current.

      `V=  W/Q`

      `W=V×Q` ……….(i)

We know that

      `I=  Q/t`

  Or

      `Q=I×t` ……….(ii)

Now we put the value of equation (ii) in (i)

      `W=V×I ×t` 

 

     ` ∵V=IR` 

     ` W=IR×I ×t` 

     `W=I^2 Rt` 

Work can be expressed also as 

      `W=V×I ×t` 

      `∵I=  V/R`  

      

     ` W=V×V/R×t` 

      `W=(V^2 t)/R`

      ✅Related Topics

    1.  Derive the formula of work done when current flows through a conductor or resistor

    2. Numerial Based on Electric Current 

   3. Numericals Bases on Heating Effect of Electric Current

     4. Solved Numeicals on Electricity