Two lamps, one rated $100\ W$ at $220\ V$, and the other $60\ W$ at $220\ V$, are connected in parallel to the electric mains supply. What current is drawn from the line if the supply voltage is $220\ V$?
Given:
Potential difference, $V$ = 220 V
Power of 1st lamp, $P_1$ = 100 W
Power of 2nd lamp, $P_2$ = 60 W
To find: Current drawn by the two bulbs, $(I)$.
Solution:
We know that formula of power is given as-
$P=V\times I$
$\therefore I=\frac {P}{V}$
Current drawn by 1st lamp is-
$I_1=\frac {P_1}{V}=\frac {100}{220}=\frac {10}{22}=\frac {5}{11}A$
Current drawn by 1st lamp is-
$I_2=\frac {P_2}{V}=\frac {60}{220}=\frac {6}{22}=\frac {3}{11}A$
Net current-
$I=I_1+I_2$
$I=\frac {5}{11}+\frac {3}{22}$
$I=\frac {5+3}{11}$
$I=\frac {8}{11}$
$I=0.73A$
The net current through the circuit is 0.73A.
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