# 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  .

Answers (1)

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

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