Physics

Physics

Problem

Two bulbs are marked 60 W, 220 V and 40 W, 220 V. Calculate the current drawn from a 220 V mains supply when the bulbs are connected: (a) in series, (b) in parallel. a. (a) in series b. (b) in parallel
Intuitive explanation

The key is to find each bulb's resistance first using the power rating, then apply series and parallel rules. A bulb marked "60 W, 220 V" tells you its resistance when operating at that voltage—use P=V2RP = \frac{V^2}{R} to find RR. Once you have both resistances, series means they add (same current, voltages split), while parallel means reciprocals add (same voltage, currents split). The mains voltage stays 220 V in both cases; you're just finding what total current the supply must provide.

Intuitive explanation

The key is to find each bulb's resistance first using the power rating, then apply series and parallel rules. A bulb marked "60 W, 220 V" tells you its resistance when operating at that voltage—use P=V2RP = \frac{V^2}{R} to find RR. Once you have both resistances, series means they add (same current, voltages split), while parallel means reciprocals add (same voltage, currents split). The mains voltage stays 220 V in both cases; you're just finding what total current the supply must provide.

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