Several electric bulbs designed to be used on a 220 V electric supply line are rated 10 W each. How many bulbs can be connected in parallel with each other across the two wires of 220 V line if the maximum allowable current is 5 A ?
First we will calculate the resistance R of one bulb.
We know,
Therefore, resistance of one bulb is 4840
We will now calculate the total resistance of the circuit by using Ohm’s Law:
Thus, the total resistance of the circuit is 44.
Now, we need to find out the number of 4840 bulbs should be connected in parallel to obtain a total resistance of 44. Suppose the number of 4840 bulbs required is x. Then:
=110
Thus, 110 bulbs can be connected in parallel in this circuit.