Q

# Solve this problem 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

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

• Option 2)

46

• Option 3)

26

• Option 4)

13

1686 Views

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

This option is incorrect.

Option 2)

46

This option is incorrect.

Option 3)

26

This option is correct.

Option 4)

13

This option is incorrect.

Exams
Articles
Questions