High School

An electrical bulb rated at 220 V, 100 W is connected in series with another bulb rated at 220 V, 60 W. If the voltage across the combination is 220 V, what is the power consumed by the 100 W bulb?

Answer :

Final answer:

When a 100 W bulb is connected in series with a 60 W bulb across 220 V, the actual power consumption of the 100 W bulb will not be 100 W. The division of voltage and power in a series circuit depends on the resistances of the connected devices. The question demonstrates concepts of series circuits, resistance, and power in electricity.

Explanation:

The question revolves around the power consumed by a 100 W bulb when connected in series with a 60 W bulb, given that both are rated for 220 V and the voltage across the combination is 220 V. When two bulbs are connected in series, the same current flows through both, but the voltage is divided based on their resistances. The power consumed by a device is given by P = V[tex]^2[/tex]/R, where P is power, V is voltage, and R is resistance. The resistances can be calculated using the formula R = V[tex]^2[/tex]/P for each bulb. Assuming ideal conditions, the total resistance in the series circuit is the sum of the individual resistances. The current through the circuit is I = Vtotal / Rtotal. The power consumed by each bulb can then be recalculated using P = I[tex]^2[/tex] * Rbulb.

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