Question

An electric bulb is rated 220 v and 100w . When it is operated on 110 v , what will be the power consumed

Answer 1

Answer :-

P = 25 w

Given :-

v = 220

p = 100 w

To find :-

The power consumed when it is operated on 110 v.

Solution:-

Let first calculate it's resistance.

Resistance is given by :-

$\huge \boxed{P = \dfrac{V^2}{R}}$

Put the given values,

→$100 = \dfrac{(220)^2}{R}$

→$R = \dfrac{48,400}{100}$

→$R = 484\Omega$

Now,

We have

R = 484

V = 110 v

Let's calculate it's power.

→$P = \dfrac{(110)^2}{484}$

→$P = \dfrac{12,100}{484}$

→$P = 25 w$

hence,

The power of electric bulb will be 25 w.

Answer 2

hello there

Explanation:

Question: An electric bulb is rated 220 v and 100w . When it is operated on 110 v , what will be the power consumed?

To find: the power consumed by the electric bulb when operated at a Voltage of 110.

Solution:

Given:

$\: \: \: \: \: = > V = 220v$

$\: \: \: \: \: = > P = 100w$

Now,

Resistance of the bulb is given by:

$\: \: R = \frac{ {V}^{2} }{P}$

Putting the value of the variables in the formulae accordingly

we get :.

■ R = (220 ×220) / 100

■ R = (48400) / 100

■ R = 484 ohm

☞So, the resistance of the electric bulb = 484 ohm

Now , we have to find power when V = 110 W

So, the power consumed is given by the same formulae :

i.e,

$\: \: \: \: P = \frac{ {V}^{2} }{R}$

Again , putting the value in the formulae in order to know the power consumption:

■ P = (110 × 110) / 484

■ P = 12100 / 484

■ P = 25 W

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So, the power consumed by the Electric bulb is 25 W [Answer]

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Hope it helps

Thank you!