A 220 V, 100 W bulb is connected to a 110 V source. Calculate the power consumed by the bulb.

  1. 10 W
  2. 15 W
  3. 20 W
  4. 25 W

Answer (Detailed Solution Below)

Option 4 : 25 W
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Detailed Solution

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CONCEPT:

  • Electric Power: The rate at which electrical energy is dissipated into other forms of energy is called electrical power i.e.,

\(P = \frac{W}{t} = VI = {I^2}R = \frac{{{V^2}}}{R}\)

Where V = Potential difference, R = Resistance and I = current.

CALCULATION:

Given - Potential difference (V) = 220 V, power of the bulb (P) = 100 W and actual voltage (V') = 110 V

  • The resistance of the bulb can be calculated as,

\(\Rightarrow R=\frac{V^2}{P}=\frac{(220)^2}{100}=484 \,\Omega\)

  • The power consumed by the bulb.

\(\Rightarrow P=\frac{V^2}{R}=\frac{(110)^2}{484}=25 \,W\)

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