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Q.

In an electrical circuit, three incandescent bulbs A, B, and C of rating $40 W$ , $60 W$ and $100 W$ , respectively are connected in parallel to an electric source. Which of the following is likely to happen regarding their brightness?

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a

Brightness of all the bulbs will be the same

b

Brightness of bulb A will be the maximum

c

Brightness of bulb B will be more than that of A

d

Brightness of bulb C will be less than that of B

answer is C.

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Detailed Solution

In an electrical circuit, three incandescent bulbs A, B, and C of rating

40 W

,

60 W

and

100 W

, respectively are connected in parallel to an electric source. Brightness of bulb B will be more than that of A.
Resistance is nothing but obstruction to the flow of charges. Power is said to be the rate of work done.
Given that, the power of bulb A, PA is

40 W

, the power of bulb B, PB is

60 W

, the power of bulb C, Pc is

100 W

.
We know that,

P =

\frac{V^{2}}{R}

Where,

P

is power,

V

is voltage and

R

is resistance.

R_{A} = \frac{V^{2}}{P}

= > \frac{V^{2}}{40}

R_{B} = \frac{V^{2}}{P}

= > \frac{V^{2}}{60}

R_{C} = \frac{V^{2}}{P}

= > \frac{V^{2}}{100}

It is seen that

R_{A} > R_{B} > R_{C}

As

P

is inversely proportional to

R

, the bulb with lower resistance will glow brighter.

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