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 the two wires of 220 V line if the maximum allowable current is 5A?

pls give the full steps

Answer 1

Resistance R1 of the bulb is given by the expression,Supply voltage, V = 220 VMaximum allowable current, I = 5 ARating of an electric bulb P=10wattsBecause R=V2/P           
According to Ohm’s law,V = I RLet R is the total resistance of the circuit for x number of electric bulbsR=V/I   =220/5=44 ΩResistance of each electric bulb, R1=4840Ω  
∴ Number of electric bulbs connected in parallel is 110.  

Answer 2

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Given,

Supply Voltage of bulb

Power Rating of the bulb

Maximum Allowable Current

No. of Bulbs that can be connected in parallel = ?

Let No. of bulbs connected in parallel are n

:

Find the total Resistance provided by the circuit when 'n' bulbs are connected in parallel ()

Using Ohms Law,

Substituting Values

:

Find the Resistance provided by each bulb

We have,

Let Resistance provided by each bulb be

Substituting Values

:

Find the Number of bulbs that can be connected in Parallel.

We have,

Equivalent Resistance of Resistors connected in parallel,

Substituting Values

Therefore,

No. of bulbs that can be connected in Parallel across two wires if maximum allowable current is 5A, is

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