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https://texercises.com/exercise/light-bulb-3/
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Exercise:
A light bulb emits visible light at a power of PO. We model the bulb as a sphere with radius rO. Calculate the energy of the visible light contained in the bulb.

Solution:
The ensity is I fracepsilon_ E_^ c epsilon_overlineE^ c overlinew c with the average energy density overlinew. vspacemm At a distance r from the centre of the bulb the energy density is overlinewr fracIrc fracPAr c fracPpi r^ c The energy in a spherical shell with thickness textrmdr is textrmdW overlinewt pi r^textrmdr fracPctextrmdr The total energy corresponds to the egral over the entire volume: W _^R textrmdW _^R fracPctextrmdr WF fracPncctimesr resultWS
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Exercise:
A light bulb emits visible light at a power of PO. We model the bulb as a sphere with radius rO. Calculate the energy of the visible light contained in the bulb.

Solution:
The ensity is I fracepsilon_ E_^ c epsilon_overlineE^ c overlinew c with the average energy density overlinew. vspacemm At a distance r from the centre of the bulb the energy density is overlinewr fracIrc fracPAr c fracPpi r^ c The energy in a spherical shell with thickness textrmdr is textrmdW overlinewt pi r^textrmdr fracPctextrmdr The total energy corresponds to the egral over the entire volume: W _^R textrmdW _^R fracPctextrmdr WF fracPncctimesr resultWS
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Attributes & Decorations
Branches
Electromagnetic Waves
Tags
energy, energy density, intensity
Content image
Difficulty
(4, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration
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Link