Question

A filament bulb(500W,100V) is to be used in a 230V main supply. When a resistance R is connected in series, it works perfectly and bulb consumes 500W. What is the value of resistance R?

Answer 1

Answer:

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Answer 2

The value of resistance R is 26 Ω

Explanation:

Given that,

Power = 500 W

Voltage = 100 V

We need to calculate the resistance of bulb

Using formula of resistance

$R_{b}=\dfrac{V^2}{P}$

Put the value in to the formula

$R_{b}=\dfrac{100^2}{500}$

$R_{b}=20\ \Omega$

We need to calculate the current

Using formula of current

$P = VI$

$I=\dfrac{P}{V}$

Put the value into the formula

$I=\dfrac{500}{100}$

$I=5\ A$

We need to calculate the resistance

Using ohm's law

$V =IR$

Put the value into the formula

$230-100=5\times R$

$R=\dfrac{130}{5}$

$R=26\ \Omega$

Hence, The value of resistance R is 26 Ω

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Topic : resistance

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