Question

A resistance r draws power p when connected to an ac source

Answer 1

Hello Dear.

Here is the answer---


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Given Conditions---

Resistance = r
Power of the ac source = p

We know, the Relation between the Power and the Resistance---
           
                   P = I² × R
 
Where, I = Current.


Proof---

 By the definition of the Potential difference, work done to move a charge Q through a potential Difference V is
                                     W = Q × V

But, Q = I × t

      Thus, W = VI × t

Using Ohm's Law, V = I × R

⇒ W = I² × R × t


Using the Formula,
          
         $Power(p) = \frac{Energy Supplied (W)}{Time (t) }$
             ⇒  $P = \frac{ I^{2} Rt }{t}$
             ⇒        P = I² × R


  Also, V = I × R
       ⇒ I = V/R

       Thus,  P = V² × R

By knowing any of the value as per as the Question, we can easily calculate the Others values by simply using the Proved Formulas.


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Hope it helps.

Have a Marvelous Day.