(a) Explanation Write the equation for the electric power delivered to the filament. P = ( Δ V ) 2 R (I) Here, P is the electric power delivered to the filament, Δ V is the potential difference across the ends of the wire and R is the resistance of the wire. Write the equation for resistance. R = ρ l A Here, ρ is the resistivity of the material of the length of the filament, l is the length of the filament and A is the cross sectional area. Put the above equation in equation (I). P = ( Δ V ) 2 ρ l / A = ( Δ V ) 2 A ρ l (II) Write the equation for the cross-sectional area of the wire. A = π r 2 Here, r is the radius of the filament. Put the above equation in equation (II). P = ( Δ V ) 2 π r 2 ρ l = π r 2 ( Δ V ) 2 ρ l (III) Rewrite equation (III) for l . l = π r 2 ( Δ V ) 2 P ρ (IV) The filament will radiate all power through its lateral surface area when the filament radiates in steady state. Write the equation for the power of the radiation. P = e σ T 4 A l (V) Here, e is the emissivity, σ is the Stefan’s constant, T is the temperature of the filament and A l is the lateral surface area. Write the equation for the lateral surface area. A l = 2 π r l Put the above equation in equation (V). P = e σ T 4 ( 2 π r l ) Put equation (IV) in the above equation (b) To determine The length of the filament.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible ligh…

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.

Question

Chapter 28, Problem 65P

(a)

To determine

The radius of the filament.

(b)

To determine

The length of the filament.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 28, Problem 64P

Chapter 28, Problem 66P

Students have asked these similar questions

19:39 · C Chegg 1 69% ✓ The compound beam is fixed at Ę and supported by rollers at A and B. There are pins at C and D. Take F=1700 lb. (Figure 1) Figure 800 lb ||-5- F 600 lb بتا D E C BO 10 ft 5 ft 4 ft-—— 6 ft — 5 ft- Solved Part A The compound beam is fixed at E and... Hình ảnh có thể có bản quyền. Tìm hiểu thêm Problem A-12 % Chia sẻ kip 800 lb Truy cập ) D Lưu of C 600 lb |-sa+ 10ft 5ft 4ft6ft D E 5 ft- Trying Cheaa Những kết quả này có hữu ích không? There are pins at C and D To F-1200 Egue!) Chegg Solved The compound b... Có Không ☑ ||| Chegg 10 וח

No chatgpt pls will upvote

Chapter 28 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 28.1 - Prob. 28.1QQ Ch. 28.2 - Prob. 28.2QQ Ch. 28.2 - Prob. 28.3QQ Ch. 28.2 - Prob. 28.4QQ Ch. 28.5 - Prob. 28.5QQ Ch. 28.5 - Prob. 28.6QQ Ch. 28.6 - Prob. 28.7QQ Ch. 28.10 - Prob. 28.8QQ Ch. 28.10 - Prob. 28.9QQ Ch. 28.13 - Prob. 28.10QQ

Ch. 28 - Prob. 1OQ Ch. 28 - Prob. 2OQ Ch. 28 - Prob. 3OQ Ch. 28 - Prob. 4OQ Ch. 28 - Prob. 5OQ Ch. 28 - Prob. 6OQ Ch. 28 - Prob. 7OQ Ch. 28 - Prob. 8OQ Ch. 28 - Prob. 9OQ Ch. 28 - Prob. 10OQ Ch. 28 - Prob. 11OQ Ch. 28 - Prob. 12OQ Ch. 28 - Prob. 13OQ Ch. 28 - Prob. 14OQ Ch. 28 - Prob. 15OQ Ch. 28 - Prob. 16OQ Ch. 28 - Prob. 17OQ Ch. 28 - Prob. 18OQ Ch. 28 - Prob. 1CQ Ch. 28 - Prob. 2CQ Ch. 28 - Prob. 3CQ Ch. 28 - Prob. 4CQ Ch. 28 - Prob. 5CQ Ch. 28 - Prob. 6CQ Ch. 28 - Prob. 7CQ Ch. 28 - Prob. 8CQ Ch. 28 - Prob. 9CQ Ch. 28 - Prob. 10CQ Ch. 28 - Prob. 11CQ Ch. 28 - Prob. 12CQ Ch. 28 - Prob. 13CQ Ch. 28 - Prob. 14CQ Ch. 28 - Prob. 15CQ Ch. 28 - Prob. 16CQ Ch. 28 - Prob. 17CQ Ch. 28 - Prob. 18CQ Ch. 28 - Prob. 19CQ Ch. 28 - Prob. 20CQ Ch. 28 - Prob. 1P Ch. 28 - Prob. 2P Ch. 28 - Prob. 3P Ch. 28 - Prob. 4P Ch. 28 - Prob. 6P Ch. 28 - Prob. 7P Ch. 28 - Prob. 8P Ch. 28 - Prob. 9P Ch. 28 - Prob. 10P Ch. 28 - Prob. 11P Ch. 28 - Prob. 13P Ch. 28 - Prob. 14P Ch. 28 - Prob. 15P Ch. 28 - Prob. 16P Ch. 28 - Prob. 17P Ch. 28 - Prob. 18P Ch. 28 - Prob. 19P Ch. 28 - Prob. 20P Ch. 28 - Prob. 21P Ch. 28 - Prob. 22P Ch. 28 - Prob. 23P Ch. 28 - Prob. 24P Ch. 28 - Prob. 25P Ch. 28 - Prob. 26P Ch. 28 - Prob. 27P Ch. 28 - Prob. 29P Ch. 28 - Prob. 30P Ch. 28 - Prob. 31P Ch. 28 - Prob. 32P Ch. 28 - Prob. 33P Ch. 28 - Prob. 34P Ch. 28 - Prob. 35P Ch. 28 - Prob. 36P Ch. 28 - Prob. 37P Ch. 28 - Prob. 38P Ch. 28 - Prob. 39P Ch. 28 - Prob. 40P Ch. 28 - Prob. 41P Ch. 28 - Prob. 42P Ch. 28 - Prob. 43P Ch. 28 - Prob. 44P Ch. 28 - Prob. 45P Ch. 28 - Prob. 46P Ch. 28 - Prob. 47P Ch. 28 - Prob. 48P Ch. 28 - Prob. 49P Ch. 28 - Prob. 50P Ch. 28 - Prob. 51P Ch. 28 - Prob. 52P Ch. 28 - Prob. 53P Ch. 28 - Prob. 54P Ch. 28 - Prob. 55P Ch. 28 - Prob. 56P Ch. 28 - Prob. 57P Ch. 28 - Prob. 58P Ch. 28 - Prob. 59P Ch. 28 - Prob. 60P Ch. 28 - Prob. 61P Ch. 28 - Prob. 62P Ch. 28 - Prob. 63P Ch. 28 - Prob. 64P Ch. 28 - Prob. 65P Ch. 28 - Prob. 66P Ch. 28 - Prob. 67P Ch. 28 - Prob. 68P Ch. 28 - Prob. 69P Ch. 28 - Prob. 70P Ch. 28 - Prob. 71P Ch. 28 - Prob. 72P Ch. 28 - Prob. 73P Ch. 28 - Prob. 74P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The radius of the filament.

Solution Summary: The author writes the equation for the electric power delivered to the filament and the cross-sectional area of the wire.

Concept explainers

The radius of the filament.

The length of the filament.

Want to see the full answer?

Chapter 28 Solutions