Question.
An electric bulb is rated 220 V and 100 W. When it is operated on 110 V, the power consumed
will be:
(1) 100 W
(2) 75 W
(3) 50 W
(4) 25 W
An electric bulb is rated 220 V and 100 W. When it is operated on 110 V, the power consumed
will be:
(1) 100 W
(2) 75 W
(3) 50 W
(4) 25 W
solution:
Resistance of the electric bulbs,
$R=\frac{V^{2}}{P}$\
$\left(P=\frac{V^{2}}{R}\right)$
or $\mathrm{R}=\frac{(220)^{2}}{100}=484 \Omega$
Power consumed by the bulb when it is operated at 110 V is given by
$\mathrm{P}^{\prime}=\frac{\mathrm{V}^{2}}{\mathrm{R}}=\frac{(110)^{2}}{484}=\frac{110 \times 110}{484}=\mathbf{2 5} \mathbf{~ W}$
Thus, (4) is the correct answer.
Resistance of the electric bulbs,
$R=\frac{V^{2}}{P}$\
$\left(P=\frac{V^{2}}{R}\right)$
or $\mathrm{R}=\frac{(220)^{2}}{100}=484 \Omega$
Power consumed by the bulb when it is operated at 110 V is given by
$\mathrm{P}^{\prime}=\frac{\mathrm{V}^{2}}{\mathrm{R}}=\frac{(110)^{2}}{484}=\frac{110 \times 110}{484}=\mathbf{2 5} \mathbf{~ W}$
Thus, (4) is the correct answer.