Several electric bulbs designed to be used on a 220 V electric supply line, are rated 10 W. How many lamps can be connected in parallel with each other across the two wires of 220 V line if the maximum allowable current is 5 A?

Answers (1)

Given: V=220V and P=10W

R=fracV^2P=frac220^210=4840Omega

Let x be the number of bulbs.

I = 5A              and      V=220V

R=fracVI=frac2205=44Omega

For x bulbs of resistance 4680 Ohm, are connected in parallel to obtain 44 Ohm equivalent resistance.

Thus,

         frac1R=frac14840+frac14840+.......................to, , x, , times

Rightarrow frac144=fracx4840

Rightarrow x=frac484044=110

Hence, 110 bulbs  of 4840 Ohm are connected in parallel to obtain 44 Ohm

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