Q1) A lamp can work on a 50V mains taking 2A what value of resistant must be connected in series with it so that it can be operated from 200V mains giving the same power.
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Answer:
75 Ohm
Explanation:
Case 1 Case 2
|------->------O----------->----| |------>--------O----MWM--------|
2A Lamp 2A Lamp R
|<-------------50V----------->| |<----------200V------------------>|
From Case 1, Applying Ohm's Law,
V = I * Lamp Resistance
50 = 2 * Lamp Resistance
Hence, Lamp Resistance = 25 Ohm
From Case 2, Applying Ohm's Law,
V = I * (Lamp Resistance + R)
200 = 2 * (25 + R)
R = 75 Ohm
Hence, we connect a resistance of 75 Ohm in series with the lamp to enable it run at a line voltage of 200V.