A 60W , 120 V bulb is connected to a 240 V , 60 Hz supply with an inductance in series. Find the value of inductance so that bulb gets correct voltage.

Question

A 60W , 120 V bulb is connected to a 240 V , 60 Hz supply with an inductance in series. Find the value of inductance so that bulb gets correct voltage. (A) (2.3/π )H (B) 2√3 H (C) π H (D) (2 √3/π )H

Tardigrade Admin · Accepted Answer

R=((120)2/60)=240 Ω we require i=0.5 A Or |Z|=480 Ω XL=√4802 - 2402=240√3 Ω L=( 240 √3/60 × 2 π )=(2 . √3/π )H

Q. A $60 W$ , $120 V$ bulb is connected to a $240 V$ , $60 Hz$ supply with an inductance in series. Find the value of inductance so that bulb gets correct voltage.

$\frac{2.3}{π} H$

$23 H$

$π H$

$\frac{2 3}{π} H$

$R = \frac{( 120 ) ^{2}}{60} = 240 Ω$ we require $i = 0.5 A$
Or $∣ Z ∣ = 480 Ω$
$X_{L} = 48 0^{2} - 24 0^{2} = 2403 Ω$
$L = \frac{240 3}{60 \times 2 π} = \frac{2. 3}{π} H$

Q. A 60W , 120V bulb is connected to a 240V , 60Hz supply with an inductance in series. Find the value of inductance so that bulb gets correct voltage.

π2.3​H

23​H

πH

π23​​H