A filament lamp of 40 W, 110 V is connected in series with resistance R. If the supply voltage is 230 V, the value of resistance R should be: 

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  1. 1340 ohm
  2. 130 ohm
  3. 240 ohm
  4. 330 ohm

Answer (Detailed Solution Below)

Option 4 : 330 ohm
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Detailed Solution

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Concept

According to the KVL, the total voltage drop in a closed circuit is zero.

ΣV = 0

By Ohm's Law, the value of resistance is given by:

Calculation

The voltage across the resistance (R) is given by:

VR = 230 - 110 V = 120 V

The current across the bulb is given by:

Since the bulb and resistance are in series, the current across both of them will be the same.

The value of R is given by:

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