Question

Several 60W incandescent light bulbs are wired in one circuit protected by a 15A breaker. The...

Several 60W incandescent light bulbs are wired in one circuit protected by a 15A breaker. The voltage of the household power is 115 V.

a) What is the resistance of the filament in the light bulb?

b) What is the maximum number of light bulbs can be connected to

the circuit?

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Answer #1

a) What is the resistance of the filament in the light bulb?

Power dessipated in the bulb is given by

Hence resistance of the filament in the bulb=220.4167 ohms

b) What is the maximum number of light bulbs can be connected to the circuit?

the maximum number of bulbs will be obtained when the bulbs are arranged in parallel arrangement

hence we first calculate the maximum resistance for the whole circuit

Using Ohm's Law:

now let n be the total number of bublbs hence the equivalent resistanece of n bulbs in parallel connection is given by:

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