Question

If a bulb labelled as 100W/230V is connected to 115V power supply, What will be its

Power​

Answer 1

Answer:

25 W

Explanation :

V = 230v

p = 100w

P = V²/ R,

R = V²/ P

= 230 x 230 / 100

= 529 ohm

V = 115v

R = 529

P = V²/R

= 115 x 115 / 529

= 25 w

Answer 2

The power = 25 W

Given :

A bulb labelled as 100W/230V is connected to 115V power supply

To find :

The power

Concept :

$\displaystyle \sf P = \frac{{V }^{2}}{ R}$

Where

P is the power

V is the voltage

R is the resistance

Solution :

Step 1 of 2 :

Calculate the resistance

Here it is given that a bulb labelled as 100W/230V is connected to 115V power supply

P = 100 W

V = 230 V

R = ?

We get

$\displaystyle \sf P = \frac{{V }^{2}}{ R}$

$\displaystyle \sf\implies 100 = \frac{{230 }^{2}}{ R}$

$\displaystyle \sf\implies R = \frac{{230 }^{2}}{ 100}$

$\displaystyle \sf\implies R = \frac{52900}{ 100}$

$\displaystyle \sf\implies R = 529$

∴ The resistance = 529 Ω

Step 2 of 2 :

Calculate Power of the bulb

P = ?

V = 115 V

R = 529 Ω

$\displaystyle \sf P = \frac{{V }^{2}}{ R}$

$\displaystyle \sf{ \implies } P = \frac{{115}^{2}}{ 529}$

$\displaystyle \sf{ \implies } P = 25$

Hence power = 25 W

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