Question

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 a 220 v mains line if the maximum allowable current is 5 A

Answer 1

Resistance R1 of the bulb is given by the expression,
Supply voltage, V = 220 V
Maximum allowable current, I = 5 A
Rating of an electric bulb P=10watts
Because R=V2/P

R1=220^2/10
=4840
According to Ohm’s law,
V = I R
Let R is the total resistance of the circuit for x number of electric bulbs
R=V/I
=220/5=44 Ω
Resistance of each electric bulb, R1=4840Ω

1/R=1/R1+1/R2+1/R3.........x times

1/R=1/R1*x

x=R1/R=4840/44


∴ Number of electric bulbs connected in parallel are 110.


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Answer 2

Explanation:

Resistance R1 of the bulb is given by the expression,

Supply voltage, V = 220 V

Maximum allowable current, I = 5 A

Rating of an electric bulb P=10watts

Because R=V2/P

According to Ohm’s law,

V = I R

Let R is the total resistance of the circuit for x number of electric bulbs

R=V/I

=220/5=44 Ω

Resistance of each electric bulb, R1=4840Ω

∴ Number of electric bulbs connected in parallel are 110.