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

  • Option 1)

    230 \Omega

  • Option 2)

    46 \Omega

  • Option 3)

    26 \Omega

  • Option 4)

    13 \Omega

 

Answers (1)
P Prateek Shrivastava

As discussed in

if R=r -

P_{max}=frac{E^{2}}{4r}

- wherein

Power delivered will be maximum

 

 \rho=VI

I=\frac{\rho }{V_{B}}=\frac{500}{100}=5A

V_{R}=IR\:\:\:\:\:\Rightarrow (230-100)=5R

R=26\: \Omega


Option 1)

230 \Omega

This option is incorrect.

Option 2)

46 \Omega

This option is incorrect.

Option 3)

26 \Omega

This option is correct.

Option 4)

13 \Omega

This option is incorrect.

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