CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Alternating Current Applied to an Inductor

A bulb is des...

Question

A bulb is designed to operate at $12 v o l t s$ constant direct current. If this bulb is connected to an alternating current source and gives same brightness. What would be the peak voltage of the source?

Open in App

Solution

$E = 12 V (G i v e n) L e t E_{o} b e t h e p e a k v o l t a g e o f t h e b u l b . L e t R a n d T b e t h e r e s i s t a n c e a n d t e m p e r a t u r e o f t h e e l e c t r i c b u l b . S i n c e, h e a t p r o d u c e d i n a r e s i s t o r b y p a s s i n g A l t e r n a t i n g c u r r e n t i s s a m e a s h e a t p r o d u c e d b y d i r e c t c u r r e n t i n a r e s i s t o r i n s a m e t i m e . S o, i^{2} R T = i_{r m s}^{2} R T => \frac{E^{2}}{R^{2}} R T = \frac{E_{r m s}^{2}}{R^{2}} R T => E^{2} = \frac{E_{o}^{2}}{2} (A s w e k n o w, E_{r m s} = \frac{E_{o}}{\sqrt{2}}) => E_{o}^{2} = 2 E^{2} = 2 \times 12^{2} => E_{o} = \sqrt{2 \times 12^{2}} = 12 \sqrt{2} = 16.97 V = 17 V$

Suggest Corrections

thumbs-up

0

Similar questions

Q. An incandescent bulb is designed to operate at

12 V

DC source. If this bulb is connected to an AC source, and it gives the same brightness, what would be the peak voltage of AC?

Q. An electric bulb is designed to operate at 12 volts DC. If this bulb is connected to an AC source and gives normal brightness , what would be the peak voltage of the source?

Q. A bulb and a capacitor are connected in series to a source of alternating current. If its frequency increases keeping the voltage constant, the bulb will

Q. Three similar light bulbs are connected to a constant voltage dc supply as shown in Fig. Each bulb operates at normal brightness and the ammeter (of negligible resistance) registers a steady current. The filament of one of the bulbs breaks. What happens to the ammeter reading and to the brightness of the remaining bulbs?

Q. An electric bulb is designed to consume 100 W at 200 V. It is connected to a 300 V and

ω = 100 r / s

A.C. source. For what value of inductance (in henry) of the coil bulb, will we get correct voltage?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Alternating Current Applied to an Inductor

PHYSICS

Watch in App

explore_more_icon

Explore more

Alternating Current Applied to an Inductor

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon