Chapter 28: Q. 41 (page 792)

Two $75 W (120 V)$ lightbulbs are wired in series, then the combination is connected to a $120 V$ supply. How much power is dissipated by each bulb?

Short Answer

Expert verified

Power dissipated by each bulb is $18.45 W .$

Step by step solution

Given information

We have given,

For one bulb the power dissipation is $75 W$ at $120 V .$

We have to find the power dissipated by the each bulb.

Simplify

We know that Power dissipated by one bulb only without connected the other bulb in circuit is given by,

$P = \frac{V^{2}}{R} R = \frac{V^{2}}{P} R = \frac{{(102)}^{2}}{75} = 192 Ω$

then total resistance in the circuit after connected both the bulb will be equal to the equivalent resistance,

$R_{eq} = 2 \times 192 = 384 Ω$

Due to equivalent resistances in series then current flowing in the circuit will be after connecting both bulb,

${IR}_{eq} = V I = \frac{120}{384} = 0.31 A$

Then power dissipated by one bulb in the circuit will be

$P = I^{2} R = {(0.31)}^{2} 192 = 18.45 W$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Two $75 W (120 V)$ lightbulbs are wired in series, then the combination is connected to a $120 V$ supply. How much power is dissipated by each bulb?

Short Answer

Step by step solution

Given information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Astrophysics

Geometrical and Physical Optics

Fields in Physics

Quantum Physics

Rotational Dynamics

Study anywhere. Anytime. Across all devices.

Two 75W(120V) lightbulbs are wired in series, then the combination is connected to a 120V supply. How much power is dissipated by each bulb?

Short Answer

Step by step solution

Given information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Astrophysics

Geometrical and Physical Optics

Fields in Physics

Quantum Physics

Rotational Dynamics

Study anywhere. Anytime. Across all devices.

Two $75 W (120 V)$ lightbulbs are wired in series, then the combination is connected to a $120 V$ supply. How much power is dissipated by each bulb?