Question

Two electric lamps of 100W and 12W are connected in parallel to a supply voltage of 200V. Calculate total current flowing through the circuit.

Answer 1

In the First Electric Lamps,

 Power = 100 W
 Potential = 200 V 
[Since. Potential remains same in the Parallel].

∵ Power = (Potential)²/Resistance
∴ Resistance = (Potential)²/Power
∴ Resistance = (200)²/100
   = 400 Ω

In the Second Electric lamps,
 Power = 12 W.
 Potential = 200 V
[Since, the Potential remains same in the Parallel].

∴ Resistance = (200)²/12
   = 3333.33 Ω

Now, Equivalent Resistance in the Circuit will be given by the Formula,

 1/Req. = 1/R₁ + 1/R₂
    = 1/400 + 1/3333.33
    = 0.0025 + 0.0003
    = 0.0028
∴ Req. = 1/0.0028
   = 357.14 Ω

Now, Using the Ohm's law,

 V = I × Req.
∴ I = 200/357.14
⇒ I = 0.56 A.


Hence, the total current flowing through the circuit is 0.56 A.


Hope it helps. 

Answer 2

Answer:

i hope it can help you. ...