Two bulbs are related and
, If they are connected
(i) in series (ii) in parallel across a supply
find the power dissipated in the two combinations in terms of and
.
Electric power is defined as the rate at which electrical energy is consumed in an electrical circuit. Electric power is given as:-
(as
)
Where V is the potential difference
is the current and
is the Resistance
(i) When two bulbs rated and
are connected in series, the current is the same through each bulb.
If and
be the resistances of two bulbs, then effective resistance of the circuit is,
Using,
we have,
We have given that :-
Therefore -
Thus, the effective power when two bulbs are connected in series is
(ii) When two bulbs rated and
are connected in parallel.
using the relation of parallel connection, we have
Thus,
given :
Thus,
Therefore, the effective power or power (dissipated) when two bulbs are connected in parallel is