two lamps, one rated 100W at 220V and the other 60W at 220V are connected in parallel to electric mains supply. what current is drawn from the line if the supply voltage is 220V ?
Answers
Answer:
Explanation:
here, two lamps, one rated 100W at 220V and the other 60W at 220V are connected in parallel to electric mains supply.
Thus, for 1st lamp:
Power, P₁ = 100 W
Voltage, V₁ = 220v
Resistance, R₁ = ?
P₁ = V₁²/R₁
100 = (220)²/R₁
R₁ = 48400/100
= 484 Ω
=> For 2nd lamp:
Power, P₂ = 60 W
Voltage V₂ = 220v
Resistance R₂ = ?
P₂ = V₂²/R₂
60 = (220)²/R₂
R₂ = 48400/60
= 806.67 Ω
=> Here, these two lamps are connected in parallel to electric mains supply. Suppose the total resistance is R.
∴ 1/R = 1/R₁ + 1/R₂
1/R = 1/484 + 806.67
1/R = 806.67 + 484 / 806.67 * 484
1/R = 1,290.67 / 3,90,428.28
R = 3,90,428.28/ 1,290.67
= 302.50Ω
=> Suppose, current 'I' is drawn from the line if the supply voltage (V) is 220V :
V = IR
∴ I = V/R
= 220/ 302.50
= 0.73 A
Hence, the current drawn from the line is 0.73 A.
Answer:
your answer is in pic
Explanation:
BTS ARMY
