Two heating elements of resistances R1 and R2 when operated at a constant supplyof voltage, V, consume powers P1 and P2 respectively. Deduce the expressions forthe power of their combination when they are, in turn, connected in (i) series and
(ii) parallel across the same voltage supply.
Given
(i) When resistance are connected in series
Equivalent resistance in the circuit will be ,
And hence total power consumed is given by
Putting the values of R1 and R2 from Eq.(1) we get
(ii) When resistance are connected in parallel
Equivalent resistance in the circuit will be given by
And hence total power consumed is given by
(using eq.(1))
(i) When resistance are connected in series
Equivalent resistance in the circuit will be ,
And hence total power consumed is given by
Putting the values of R1 and R2 from Eq.(1) we get
(ii) When resistance are connected in parallel
Equivalent resistance in the circuit will be given by
And hence total power consumed is given by
(using eq.(1))