Answered: An old-fashioned incandescent bulb (100…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Electromagnetic Waves

Section: Chapter Questions

Problem 37P

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Question

An old-fashioned incandescent bulb (100 W) has a tungsten filament inside which glows at a steady temperature of 2400⁰C and radiates electromagnetic waves (part heat, part light). What is the surface area of the filament? Assume emissivity of tungsten is 0.35.

a) 9.9*10^-4 m²

b) 9.9*10^-5 m²

c) 1.5*10^-4 m²

Expert Solution

Step 1

Given data:

The power of the incandescent bulb is P=100 W.
The steady temperature of the bulb is T=2400^oC.
The emissivity of the tungsten is e=0.35.

The expression for the surface area of the filament can be calculated as,

$P = e \times σ \times T^{4} \times A$

Here, σ is the Stephan's constant, and its standard value is 5.67x10^-8 W/m²-K⁴.

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