Several electric bulbs designed to be used on a electric supply line, are rated . How many lamps can be connected in parallel with each other across the two wires of line if the maximum allowable current is ?
Step 1: Given
Voltage and power .
Current
Step 2: Calculate resistance for each lamp
We know the relation,
Where is the resistance.
Upon substituting the values we get,
Step 3: Calculate equivalent resistance
According to Ohm's law,
Upon substituting the values we get,
Step 4: Calculate total number of lamps
The resistance of each electric bulb,
We know that resistances in parallel connection are given as,
times
Hence, lamps can be connected in parallel.