A30 ω resistor and a 60 ω resistor are connected in parallel and placed across a potential difference of 120v. what is the equivalent resistance of the circuit? show work.

Here we have to calculate the total equivalent resistance and the expression for work

As per the question the two resistors are connected as parallel in a circuit.

Let ohm and ohm

Let R is the total equivalent resistance

Hence

                         ⇒  

                                   =  

                                    =20 ohm

Here the potential difference is given as V=120 volt

Hence the current flowing through the wire is given as

                                        =

                                         =6 ampere[6A]

   The work done is equal to the electric energy consumed by the circuit.

Let t is the time of consumption .Hence the work done is given as

                                  = J

                                     = 720t J

Taking various time of consumption we can get the work done