Question

Two lamps rated 100W, 220 V and 10 W, 220 V are connected in
parallel to 220 V supply. Calculate the total current through the circuit

Answer 1

Explanation:

Current in 100 watt lamp, when it is placed across 220 volt supply

= 100/220 amp

Current in 10 watt lamp, when it is placed across 220 volt supply

=10/220 amp

Total current = 100/220+10/220

= 110/220 = 1/2=0.5 amp

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Answer 2

Solution:-

As we know that the relationship between Power , Voltage and Current

• P = VI

where,

P is the Power

V is the Potential Difference

I is the current

Current for 1st lamp

substitute the value we get

→ 100 = 220 × I

→ I = 100/220

→ I = 10/22 -------------------(1)

Now, Current for 2nd lamp

substitute the value we get

→ 10 = 220 × I`

→ I` = 10/220

→ I` = 1/22 -------------------(2)

Total Current through the circuit

• Total Current = I + I'

substitute the value we get

→ Total Current = 10/22 + 1/22

→ Total Current = 10+1/22

→ Total Current = 11/22

→ Total Current = 1/2

→ Total Current = 0.5 A

Therefore,the total current through the circuit is 0.5 Ampere .