very important
two electric lamps of 100W and 25W respectively are connected in parallel to a supply voltage of 200V CALCULATE TOTAL CURRENT FLOWING THROUGH THE CIRCUIT.
Let Power of first lamp be : P1 = 100 W
Power of second lamp be : P2 = 25 W
Voltage (Potential difference) = 200 V
According to the question : The lamps are connected in Parallel . So Remember :
" In Parallel Connection of circuits (like lamps) the voltage remains same in each circuit ,it will not change but current will change in each circuit."
Now : Equation of Power : P = V I (I - Current)
Let I1 and I2 be the current flowing through first and second lamps respectively
P1 = V I1
100 = 200 I1 ( V - constant)
I1 = 100 / 200 = 0.5 A ----------(1)
P2 = V I2
25 = 200 I2
I2 = 25 / 100 = 1 / 8 = 0.25 A ---------(2)
From (1) and (2)
I1 = 0.5A , I2 = 0.25A
The Total Current in the circuit when connected in parallel :
I = I1 + I2
I = 0.5 + 0.25
I = 0.75A
Therefore , TOTAL CURRENT FLOWING THROUGH THE CIRCUIT : I = 0.75A