Two lamps rated 100 W, 200 V and 10 W, 200 V are connected in parallel to 200 V supply. The total current through the circuit is
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here is your answer buddy
Power = P = 100 W
Voltage = V = 220v
Resistance = R
P = V²/R
100 = 220 ×220/R
R = 220 × 220/100
= 484 Ω
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Power = P = 10 W
Voltage = V = 220v
Resistance = R
P = V²/R
10 = 220 × 220/R
R = 220× 220/10
=4840 Ω
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As the resistors are connected in parallel ,
total resistance = 1/R
1/R = 1/484 + 1/4840
= 4840 + 484/484×4840
= 5324/2342560
R = 2342560/5324 = 440 ohms
Total resistance = 440 Ω
I = current
V = IR
220 = I × 440
I = 220/440
= 0.5 A
The current drawn is 0.5 A
hope it helps buddy
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